Applied Statistics And Probability For Engineers 6th Edition Douglas C. Montgomery, George C. Runger - Solutions

Consider the hypothesis test H0: μ1 = μ2 against H1: μ1 = μ2. Suppose that sample sizes n1 = 15 and n2 = 15, that x̅1 = 6.2 and x̅2 = 7.8, and that s21 = 4 and s22 = 6.25. Assume that σ21 = σ22 and that the data are drawn from normal distributions. Use α = 0.05.(a) Test the hypothesis and
Consider the hypothesis test H0: μ1 = μ2 against H1: μ1 ≠ μ2. Suppose that sample sizes are n1 = 15 and n2 = 15, that x̅1 = 4.7 and x̅2 = 7.8, and that s21 = 4 and s22 = 6.25. Assume that σ21 = σ22 and that the data are drawn from normal distributions. Use α = 0.05.(a) Test the
Consider the computer output below.Difference = mu (1) €“ mu (2)Estimate for difference: €“3.9195% upper bound for difference: ?T-test of difference = 0(vs <): T-value = €“3.00 P-value = ? DF = ?(a) Fill in the missing values. Is this a one-sided or a two-sided
Consider the following computer output.Difference = mu (1) €“ mu (2)Estimate for difference: €“1.21095% CI for difference: (€“2.560, 0.140)T-test of difference = 0 (vs not =) :T-value = ? P-value = ? DF = ?Both use Pooled StDev = ?(a) Fill in the missing values. Is
In their book Statistical Thinking (2nd ed.), Roger Hoerl and Ron Snee provide data on the absorbency of paper towels that were produced by two different manufacturing processes. From process 1, the sample size was 10 and had a mean and standard deviation of 190 and 15, respectively. From process
Reconsider the study described in Exercise 10-10. Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. What level of type II error would you recommend here? What sample size would be required?Exercise 10-10An article in Industrial
Reconsider the data from Exercise 10-10. Find a 95% confidence interval on the difference in mean force on the hands for the two activities. How would you interpret this CI? Is the value zero in the CI? What connection does this have with the conclusion that you reached in Exercise 10-10?Exercise
An article in Industrial Engineer (September 2012) reported on a study of potential sources of injury to equine veterinarians conducted at a university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when examining or treating horses.
The concentration of active ingredient in a liquid laundry detergent is thought to be affected by the type of catalyst used in the process. The standard deviation of active concentration is known to be 3 grams per liter regardless of the catalyst type. Ten observations on concentration are taken
A polymer is manufactured in a batch chemical process. Viscosity measurements are normally made on each batch, and long experience with the process has indicated that the variability in the process is fairly stable with σ = 20. Fifteen batch viscosity measurements are given as follows: 724, 718,
Two different formulations of an oxygenated motor fuel are being tested to study their road octane numbers. The variance of road octane number for formulation 1 is σ21 = 1.5, and for formulation, 2 it is σ22 = 1.2. Two random samples of size n1 = 15 and n2 = 20 are tested, and the mean road
Two types of plastic are suitable for an electronics component manufacturer to use. The breaking strength of this plastic is important. It is known that σ1 = σ2 = 1.0 psi. From a random sample of size n1 = 10 and n2 = 12, you obtain x1 = 162.5 and x2 = 155.0. The company will not adopt plastic 1
Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The fill volume can be assumed to be normal with standard deviation Ïƒ1= 0.020 and Ïƒ2= 0.025 ounces. A member of the quality engineering staff suspects that both machines fill to the same mean
Consider the hypothesis test H0: μ1 = μ2 against H1: μ1 > μ2 with known variances σ1 = 10 and σ2 = 5. Suppose that sample sizes n1 = 10 and n2 = 15 and that x1 = 24.5 and x2 = 21.3. Use α = 0.01.(a) Test the hypothesis and find the P-value.(b) Explain how the test could be conducted with
Consider the hypothesis test H0: μ1 = μ2 against H1: μ1 ≠ μ2 with known variances σ1 = 10 and σ2 = 5. Suppose that sample sizes n1 = 10 and n2 = 15 and that x̅1 = 4.7 and x̅2 = 7.8. Use α = 0.05. (a) Test the hypothesis and find the P-value.(b) Explain how the test could be
Let X1, X2, …, Xn be a sample from an exponential distribution with parameter λ. It can be shown that 2λ Σni=1 Xi has a chi-square distribution with 2n degrees of freedom. Use this fact to devise a test statistic and critical region for H0: λ = λ0 versus the three usual alternatives.
When X1, X2, €¦, Xnis a random sample from a normal distribution and n is large, the sample standard deviation has approximately a normal distribution with mean Ïƒ and variance Ïƒ2(2n). Therefore, a large-sample test for H0: Ïƒ = Ïƒ0can be based
When X1, X2, €¦, Xnare independent Poisson random variables, each with parameter Î», and n is large, the sample mean X has an approximate normal distribution with mean Î» and variance Î»/n. Therefore,has approximately a standard normal distribution.
Derive an expression for β for the test on the variance of a normal distribution. Assume that the two-sided alternative is specified.
Suppose that we wish to test H0: μ = μ0 versus H1: μ ≠ μ0 where the population is normal with known σ. Let 0 < e < α, and define the critical region so that we will reject H0 if z0 > zε or if z0, − zα−ε, where z0 is the value of the usual test statistic for these
Suppose that eight sets of hypotheses of the form H0: μ = μ0 H1: μ ≠ μ0 have been tested and that the P-values for these tests are 0.15, 0.06. 0.67, 0.01, 0.04, 0.08, 0.78, and 0.13. Use Fisher’s procedure to combine all of the P-values. What conclusions can you draw about these
A manufacturer of a pharmaceutical product is developing a generic drug and must show its the equivalence to the current product. The variable of interest is the activity level of the active ingredient. The current product has an activity level of 100. If the new generic product has an activity
An article in the Journal of Electronic Material [“Progress in CdZnTe Substrate Producibility and Critical Drive of IRFPA Yield Originating with CdZnTe Substrates” (1998, Vol. 27(6), pp. 564–572)] improved the quality of CdZnTe substrates used to produce the HgCdTe infrared focal plane arrays
An article in Experimental Brain Research [€œSynapses in the Granule Cell Layer of the Rat Dentate Gyrus: Serial- Sectionin Study€ (1996, Vol. 112(2), pp. 237€“243)] showed the ratio between the numbers of symmetrical and total synapses on somata and azon initial
An article in Biological Trace Element Research [€œInteraction of Dietary Calcium, Manganese, and Manganese Source (Mn Oxide or Mn Methionine Complex) or Chick Performance and Manganese Utilization€ (1991, Vol. 29(3), pp. 217€“228)] showed the following results of
An article in Food Chemistry [€œA Study of Factors Affecting Extraction of Peanut (Arachis Hypgaea L.) Solids with Water€ (1991, Vol. 42(2), pp. 153€“165)] reported that the percent protein extracted from peanut milk as follows:(a) Can you support a claim that the
Consider the computer output belowUsing the normal approximation:(a) Fill in the missing information.(b) What are your conclusions if Î± = 0.05?(c) The normal approximation to the binomial was used here. Was that appropriate?(d) Find a 95% upper-confidence bound on the true
An article in Food Testing and Analysis [€œImproving Reproducibility of Refractometry Measurements of Fruit Juices€ (1999, Vol. 4(4), pp. 13€“17)] measured the sugar concentration (Brix) in clear apple juice. All readings were taken at 20°C:(a) Test the hypothesis
Consider the situation of Exercise 9-144. After collecting a sample, we are interested in testing H0: p = 0.10 versus H1: p ≠ 0.10 with α = 0.05. For each of the following situations, compute the p-value for this test:(a) n = 50, p = 0.095 (b) n = 100, p = 0.095(c) n = 500, p =
An article in Fire Technology [“An Experimental Examination of Dead Air Space for Smoke Alarms” (2009, Vol. 45, pp. 97–115)] studied the performance of smoke detectors installed not less than 100 mm from any adjoining wall if mounted on a flat ceiling, and not closer than 100 mm and not
An article in Transfusion Science [“Early Total White Blood Cell Recovery Is a Predictor of Low Number of Apheresis and Good CD34+ Cell Yield” (2000, Vol. 23, pp. 91–100)] studied the white blood cell recovery of patients with haematological malignancies after a new chemotherapy treatment.
Consider the following computer output.(a) How many degrees of freedom are there on the t-statistic?(b) Fill in the missing information. You may use bounds on the P-value.(c) What are your conclusions if Î± = 0.05?(d) Find a 95% upper-confidence bound on the mean.(e) What are your
Consider the following computer output.(a) How many degrees of freedom are there on the t-statistic?(b) Fill in the missing information. You may use bounds on the P-value.(c) What are your conclusions if Î± = 0.05?(d) What are your conclusions if the hypothesis is H0: Î¼ =
Consider the following computer output.(a) Fill in the missing information.(b) Is this a one-sided or a two-sided test?(c) What are your conclusions if Î± = 0.05?(d) Find a 95% two-sided CI on the mean. One-Sample Z: Test of mu = 26 vs > 26 The assumed standard deviation = 1.5 Variable
The mean weight of a package of frozen fish must equal 22 oz. Five independent samples were selected, and the statistical hypotheses about the mean weight were tested. The P-values that resulted from these tests were 0.065, 0.0924, 0.073, 0.025, and 0.021. Is there sufficient evidence to conclude
The standard deviation of fill volume of a container of a pharmaceutical product must be less than 0.2 oz to ensure that the container is accurately filled. Six independent samples were selected, and the statistical hypotheses about the standard deviation were tested. The P-values that resulted
Suppose that eight sets of hypotheses about a population proportion of the form H0: p = 0.3 H1: p > 0.3 have been tested and that the P-values for these tests are 0.15, 0.83, 0.103, 0.024, 0.03, 0.07, 0.09, and 0.13. Use Fisher’s procedure to combine all of these P-values. Is there sufficient
Suppose that 10 sets of hypotheses of the form H0: μ = μ0 H1: μ ≠ μ0 have been tested and that the P-values for these tests are 0.12, 0.08. 0.93, 0.02, 0.01, 0.05, 0.88, 0.15, 0.13, and 0.06. Use Fisher’s procedure to combine all of these P-values. What conclusions can you draw about
The mean bond strength of a cement product must be at least 1000 psi. The process by which this material is manufactured must show equivalence to this standard. If the process can manufacture cement for which the mean bond strength is at least 9750 psi, it will be considered equivalent to the
The mean breaking strength of a ceramic insulator must be at least 10 psi. The process by which this insulator is manufactured must show equivalence to this standard. If the process can manufacture insulators with a mean breaking strength of at least 9.5 psi, it will be considered equivalent to the
A chemical products manufacturer must identify a new supplier for a raw material that is an essential component of a particular product. The previous supplier was able to deliver material with a mean molecular weight of 3500. The new supplier must show equivalence to this value of molecular weight.
In developing a generic drug, it is necessary for a manufacturer of biopharmaceutical products to show equivalence to the current product. The variable of interest is the absorption rate of the product. The current product has an absorption rate of 18 mg/hr. If the new generic product has an
A group of civil engineering students has tabulated the number of cars passing eastbound through the intersection of Mill and University Avenues. They obtained the data in the following table.(a) Does the assumption of a Poisson distribution seem appropriate as a probability model for this process?
Recall the sugar content of the syrup in canned peaches from Exercise 8-51. Suppose that the variance is thought to be σ2 = 18 (milligrams)2. Recall that a random sample of n = 10 cans yields a sample standard deviation of s = 4.8 milligrams. (a) Test the hypothesis H0: σ2 = 18 versus H1:
Data for tire life was described in Exercise 8-29. The sample standard deviation was 3645.94 kilometers and n = 16. (a) Can you conclude, using α = 0.05, that the standard deviation of tire life is less than 4000 kilometers? State any necessary assumptions about the underlying distribution of
Data from an Izod impact test was described in Exercise 8-30. The sample standard deviation was 0.25 and n = 20 specimens were tested.(a) Test the hypothesis that σ = 0.10 against an alternative specifying that σ ≠ 0.10, using α = 0.01, and draw a conclusion. State any necessary assumptions
The data from Technometrics described in Exercise 8-56 considered the variability in repeated measurements of the weight of a sheet of paper. In summary, the sample standard deviation from 15 measurements was 0.0083 grams. (a) Does the measurement standard deviation differ from 0.01 grams at
The data from Medicine and Science in Sports and Exercise described in Exercise 8-53 considered ice hockey player performance after electrostimulation training. In summary, there were 17 players, and the sample standard deviation of performance was 0.09 seconds.(a) Is there strong evidence to
Human oral normal body temperature is believed to be 98.6° F, but there is evidence that it actually should be 98.2° F [Mackowiak, Wasserman, Steven and Levine, JAMA (1992, Vol. 268(12), pp. 1578–1580)]. From a sample of 52 healthy adults, the mean oral temperature was 98.285 with a standard
Exercise 6-38 gave data on the heights of female engineering students at ASU.(a) Can you support a claim that the mean height of female engineering students at ASU is at least 65 inches? Use α = 0.05. Find the P-value.(b) Check the normality assumption.(c) Compute the power of the test if the true
Exercise 6-40 presented data on the concentration of suspended solids in lake water.(a) Test the hypothesis H0: μ = 55 versus H1: μ ≠ 55; use α = 0.05. Find the P-value.(b) Check the normality assumption.(c) Compute the power of the test if the true mean concentration is as low as 50.(d)
Reconsider the data from Medicine and Science in Sports and Exercise described in Exercise 8-32. The sample size was seven and the sample mean and sample standard deviation were 315 watts and 16 watts, respectively. (a) Is there evidence that leg strength exceeds 300 watts at significance
Consider the dissolved oxygen concentration at TVA dams first presented in Exercise 8-105.(a) Test the hypothesis H0: μ = 4 versus H1: μ ≠ 4. Use α = 0.01. Find the P-value.(b) Check the normality assumption.(c) Compute the power of the test if the true mean dissolved oxygen concentration is
A primer paint can be used on aluminum panels. The primer’s drying time is an important consideration in the manufacturing process. Twenty panels are selected, and the drying times are as follows: 1.6, 1.3, 1.5, 1.6, 1.7, 1.9, 1.8, 1.6, 1.4, 1.8, 1.9, 1.8, 1.7, 1.5, 1.6, 1.4, 1.3, 1.6, 1.5, and
A new type of tip can be used in a Rockwell hardness tester. Eight coupons from test ingots of a nickel-based alloy are selected, and each coupon is tested using the new tip. The Rockwell C-scale hardness readings are 63, 65, 58, 60, 55, 57, 53, and 59. Do the results support the claim that the
An inspector are measured the diameter of a ball bearing using a new type of caliper. The results were as follows (in mm): 0.265, 0.263, 0.266, 0.267, 0.267, 0.265, 0.267,0.267, 0.265, 0.268, 0.268, and 0.263.(a) Use the Wilcoxon signed-rank test to evaluate the claim that the mean ball diameter is
An article in the British Medical Journal [“Comparison of Treatment of Renal Calculi by Operative Surgery, Percutaneous Nephrolithotomy, and Extracorporeal Shock Wave Lithotripsy” (1986, Vol. 292, pp. 879–882)] reported that percutaneous nephrolithotomy (PN) had a success rate in removing
A company operates four machines in three shifts each day. From product ion records, the following data on the number of breakdowns are collected:Test the hypothesis (using Î± = 0.05) that breakdowns are independent of the shift. Find the P-value for this test. Machines B 20 11 D Shift
Did survival rate for passengers on the Titanic really depend on the type of ticket they had? Following are the data for the 2201 people on board listed by whether they survived and what type of ticket they had. Does survival appear to be independent of ticket class? (Test the hypothesis at
The Hopkins Forest is a 2600-acre forest reserve located at the intersection of three states: New York, Vermont, and Massachusetts. Researchers monitor forest resources to study long-term ecological changes. They have conducted surveys of existing trees, shrubs, and herbs at various sites in the
Reconsider Exercise 6-87. The data were the number of earthquakes per year of magnitude 7.0 and greater since 1900. (a) Use computer software to summarize these data into a frequency distribution. Test the hypothesis that the number of earthquakes of magnitude 7.0 or greater each year follows
Construct a 95% lower confidence interval for the proportion of patients with kidney stones successfully removed in Exercise 9-95. Does this confidence interval support the claim that at least 78% of procedures are successful?
Construct a 90% confidence interval for the proportion of handwritten zip codes that were read correctly using the data provided in Exercise 9-103. Does this confidence interval support the claim that at least 90% of the zip codes can be correctly read?
In a random sample of 500 handwritten zip code digits, 466 were read correctly by an optical character recognition (OCR) system operated by the U.S. Postal Service (USPS). USPS would like to know whether the rate is at least 90% correct. Do the data provide evidence that the rate is at least 90% at
A computer manufacturer ships laptop computers with the batteries fully charged so that customers can begin to use their purchases right out of the box. In its last model, 85% of customers received fully charged batteries. To simulate arrivals, the company shipped 100 new model laptops to various
In a random sample of 85 automobile engine crankshaft bearings, 10 have a surface finish roughness that exceeds the specifications. Do these data present strong evidence that the proportion of crankshaft bearings exhibiting excess surface roughness exceeds 0.10?(a) State and test the appropriate
An article in Fortune (September 21, 1992) claimed that nearly one-half of all engineers continue academic studies beyond the B.S. degree, ultimately receiving either an M.S. or a Ph.D. degree. Data from an article in Engineering Horizons (Spring 1990) indicated that 117 of 484 new engineering
A researcher claims that at least 10% of all football helmets have manufacturing flaws that could potentially cause injury to the wearer. A sample of 200 helmets revealed that 16 helmets contained such defects. (a) Does this finding support the researcher’s claim? Use α = 0.01. Find the
An article in the British Medical Journal [“Comparison of Treatment of Renal Calculi by Operative Surgery, Percutaneous Nephrolithotomy, and Extra-Corporeal Shock Wave Lithotrips” (1986, Vol. 292, pp. 879–882)] repeated that percutaneous nephrolithotomy (PN) had a success rate in removing
A random sample of 300 circuits generated 13 defectives.(a) Use the data to test H0: p = 0.05 versus H1: p ≠ 0.05. Use α = 0.05. Find the P-value for the test.(b) Explain how the question in part (a) could be answered with a confidence interval.
Suppose that 500 parts are tested in manufacturing and 10 are rejected.(a) Test the hypothesis H0: p = 0.03 against H1: p < 0.03 at α = 0.05. Find the P-value.(b) Explain how the question in part (a) could be answered by constructing a 95% one-sided confidence interval for p.
Suppose that of 1000 customers surveyed, 850 are satisfied or very satisfied with a corporation’s products and services.(a) Test the hypothesis H0: p = 0.9 against H1:p ≠ 0.9 at α = 0.05. Find the P-value.(b) Explain how the question in part (a) could be answered by constructing a 95%
Consider the following computer output(a) Is this a one-sided or a two-sided test?(b) Is this a test based on the normal approximation? Is that appropriate?(c) Complete the missing items.(d) Suppose that the alternative hypothesis was two-sided. What is the P-value for this situation? Test and CI
Consider the following computer outputUsing the normal approximation.(a) Is this a one-sided or a two-sided test?(b) Complete the missing items.(c) The normal approximation was used in the problem. Was that appropriate? Test and CI for One Proportion Test of p = 0.4 vs p not = 0.4 X N Sample p 98
If the standard deviation of hole diameter exceeds 0.01 millimeters, there is an unacceptably high probability that the rivet will not fit. Suppose that n = 15 and s = 0.008 millimeter.(a) Is there strong evidence to indicate that the standard deviation of hole diameter exceeds 0.01 millimeter? Use
Consider the hypothesis test of H0: σ2 = 10 against H1: σ2 > 10. Approximate the P-value for each of the following test statistics.(a) x20 = 25.2 and n = 20 (b) x20 = 15.2 and n = 12(c) x20 = 4.2 and n = 15
Consider the test of H0: σ2 = 5 against : σ2 < 5. Approximate the P-value for each of the following test statistics.(a) x20 = 25.2 and n = 20 (b) x20 = 15.2 and n = 12(c) x20 = 4.2 and n = 15
Consider the hypothesis test of H0: σ2 = 7 against H1: σ2 ≠ 7. Approximate the P-value for each of the following test statistics.(a) x20 = 25.2 and n = 20(b) x20 = 15.2 and n = 12(c) x20 = 23.0 and n = 15
Consider the test of H0: σ2 = 5 against H1: σ2 < 5. What are the critical values for the test statistic χ20 for the following significance levels and sample sizes?(a) α = 0.01 and n = 20 (b) α = 0.05 and n = 12(c) α = 0.10 and n = 15
Consider the test of H0: σ2 = 10 against H1: σ2 10. What are the critical values for the test statistic χ20 for the following significance levels and sample sizes?(a) α = 0.01 and n = 20 (b) α = 0.05 and n = 12(c) α = 0.10 and n = 15
Consider the test of H0: σ2 = 7 against H1: σ2 ≠ 7. What are the critical values for the test statistic χ20 for the following significance levels and sample sizes?(a) α = 0.01 and n = 20(b) α = 0.05 and n = 12 (c) α = 0.10 and n = 15
In a little over a month, from June 5, 1879, to July 2, 1879, Albert Michelson measured the velocity of light in air 100 times (Stigler, Annals of Statistics, 1977). Today we know that the true value is 299,734.5 km/sec. Michelson’s data have a mean of 299,852.4 km/sec with a standard deviation
Consider the baseball coefficient of restitution data first presented in Exercise 8-103.(a) Do the data support the claim that the mean coefficient of restitution of baseballs exceeds 0.635? Use α = 0.05. Find the P-value.(b) Check the normality assumption.(c) Compute the power of the test if the
An article in Growth: A Journal Devoted to Problems of Normal and Abnormal Growth [€œComparison of Measured and Estimated Fat-Free Weight, Fat, Potassium and Nitrogen of Growing Guinea Pigs€ (1982, Vol. 46(4), pp. 306€“321)] reported the results of a study that
Consider the following computer output.(a) How many degrees of freedom are there on the t-test statistic?(b) Fill in the missing quantities.(c) At what level of significance can the null hypothesis be rejected?(d) If the hypothesis had been H0: Î¼ = 34 versus H1: Î¼ >
Consider the following computer output.(a) How many degrees of freedom are there on the t-test statistic?(b) Fill in the missing values. You may calculate bounds on the P-value. What conclusions would you draw?(c) Is this a one-sided or a two-sided test? One-Sample T: Test of mu = 12 vs not = 12
For the hypothesis test H0: μ = 5 against H1: μ < 5 with variance unknown and n = 12, approximate the P-value for each of the following test statistics.(a) t0 = 2.05 (b) t0 = − 1.84 (c) t0 = 0.4
For the hypothesis test H0: μ = 10 against H1: μ >10 with variance unknown and n = 15, approximate the P-value for each of the following test statistics.(a) t0 = 2.05 (b) t0 = − 1.84 (c) t0 = 0.4
For the hypothesis test H0: μ = 7 against H1: μ ≠ 7 with variance unknown and n = 20, approximate the P-value for each of the following test statistics.(a) t0 = 2.05 (b) t0 = − 1.84 (c) t0 = 0.4
A hypothesis will be used to test that a population mean equals 5 against the alternative that the population mean is less than 5 with unknown variance. What is the critical value for the test statistic T0 for the following significance levels?(a) α = 0.01 and n = 20 (b) α = 0.05 and n =
A hypothesis will be used to test that a population mean equals 10 against the alternative that the population mean is greater than 10 with unknown variance. What is the critical value for the test statistic T0 for the following significance levels?(a) α = 0.01 and n = 20 (b) α = 0.05 and n
A hypothesis will be used to test that a population mean equals 7 against the alternative that the population mean does not equal 7 with unknown variance. What are the critical values for the test statistic T0 for the following significance levels and sample sizes?(a) α = 0.01 and n = 20 (b)
The bacterial strain Acinetobacter has been tested for its adhesion properties. A sample of five measurements gave readings of 2.69, 5.76, 2.67, 1.62 and 4.12 dyne-cm2. Assume that the standard deviation is known to be 0.66 dyne-cm2 and that the scientists are interested in high adhesion (at least
Humans are known to have a mean gestation period of 280 days (from last menstruation) with a standard deviation of about 9 days. A hospital wondered whether there was any evidence that their patients were at risk for giving birth prematurely. In a random sample of 70 women, the average gestation
Supercavitation is a propulsion technology for undersea vehicles that can greatly increase their speed. It occurs above approximately 50 meters per second when pressure drops sufficiently to allow the water to dissociate into water vapor, forming a gas bubble behind the vehicle. When the gas bubble
Output from a software package follows:(a) Fill in the missing items. What conclusions would you draw?(b) Is this a one-sided or a two-sided test?(c) If the hypothesis had been H0: Î¼= 98 versus H0: Î¼ > 98, would you reject the null hypothesis at the 0.05 level of
Output from a software package follows:(a) Fill in the missing items. What conclusions would you draw?(b) Is this a one-sided or a two-sided test?(c) Use the normal table and the preceding data to construct a 95% lower bound on the mean.(d) What would the P-value be if the alternative hypothesis is
Output from a software package follows:(a) Fill in the missing items. What conclusions would you draw?(b) Is this a one-sided or a two-sided test?(c) Use the normal table and the preceding data to construct a 95% two-sided CI on the mean.(d) What would the P-value be if the alternative hypothesis
Output from a software package follows:(a) Fill in the missing items. What conclusions would you draw?(b) Is this a one-sided or a two-sided test?(c) Use the normal table and the preceding data to construct a 95% two-sided CI on the mean.(d) What would the P-value be if the alternative hypothesis
For the hypothesis test H0: μ = 5 against H1: μ < 5 and variance known, calculate the P-value for each of the following test statistics.(a) z0 = 2.05 (b) z0 = −1.84 (c) z0 = 0.4

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Applied Statistics And Probability For Engineers 6th Edition Douglas C. Montgomery, George C. Runger - Solutions

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