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mathematics
elementary statistics picturing

Questions and Answers of Elementary Statistics Picturing

Find the critical value tc for the level of confidence c and sample size n.c = 0.80, n = 10
Determine the minimum sample size required to be 99% confident that the sample mean driving distance to work is within 2 miles of the population mean driving distance to work. Use the population
Determine the minimum sample size required to be 95% confident that the sample mean waking time is within 10 minutes of the population mean waking time. Use the population standard deviation from
Use the confidence interval to find the margin of error and the sample mean.(7.428, 7.562)
Use the confidence interval to find the margin of error and the sample mean.(20.75, 24.10)
(a) Construct a 90% confidence interval for the population mean in Exercise 1. Interpret the results. (b) Does it seem possible that the population mean could be within 10% of the sample mean?
In your own words, explain how finding a confidence interval for a population variance is different from finding a confidence interval for a population mean or proportion.
You are analyzing the sample of waiting times in Exercise 23. The population standard deviation of the waiting times should be less than 2.5 minutes. Does the confidence interval you constructed for
You are analyzing the sample of car batteries in Exercise 21. The population standard deviation of the batteries’ reserve capacities should be less than 0.25 hour. Does the confidence interval you
You are analyzing the sample of cough syrup bottles in Exercise 14. The population standard deviation of the volumes of the bottles’ contents should be less than 0.025 fluid ounce. Does the
You are analyzing the sample of bolts in Exercise 13. The population standard deviation of the bolts’ diameters should be less than 0.5 inch. Does the confidence interval you constructed for σ
The record high daily temperatures (in degrees Fahrenheit) of a random sample of 64 days of the year in Grand Junction, Colorado, have a sample standard deviation of 16.8°F. Use a 98% level of
The reserve capacities (in hours) of 18 randomly selected automotive batteries have a sample standard deviation of 0.25 hour. Use an 80% level of confidence.Assume the sample is from a normally
As part of a survey, you ask a random sample of business owners how much they would be willing to pay for a website for their company. The results are shown in the figure at the left. Use a 90% level
As part of a water quality survey, you test the water hardness in several randomly selected streams. The results are shown in the figure at the left. Use a 95% level of confidence.Assume the sample
The numbers of touchdowns scored by 11 randomly selected NCAA Division I Subdivision teams in a recent season have a sample standard deviation of 9.35. Use an 80% level of confidence.Assume the
The durations (in days) of 14 randomly selected space shuttle flights have a sample standard deviation of 3.54 days. Use a 99% level of confidence.Assume the sample is from a normally distributed
The final exam scores of 24 randomly selected students in a statistics class are shown in the table at the left. Use a 95% level of confidence.Assume the sample is from a normally distributed
The annual earnings (in thousands of dollars) of 21 randomly selected clinical pharmacists are listed. Use a 99% level of confidence.Assume the sample is from a normally distributed population and
The diameters (in inches) of 18 randomly selected bolts produced by a machine are listed. Use a 95% level of confidence.Assume the sample is from a normally distributed population and construct the
Construct the indicated confidence intervals for (a) The population variance σ2 and (b) The population standard deviation σ. Assume the sample is from a normally distributed population.c
Construct the indicated confidence intervals for (a) The population variance σ2 and (b) The population standard deviation σ. Assume the sample is from a normally distributed population.c
Construct the indicated confidence intervals for (a) The population variance σ2 and (b) The population standard deviation σ. Assume the sample is from a normally distributed population.c
Construct the indicated confidence intervals for (a) The population variance σ2 and (b) The population standard deviation σ. Assume the sample is from a normally distributed population.c
Find the critical values X2R and X2L for the level of confidence c and sample size n.c = 0.80, n = 51
Find the critical values X2R and X2L for the level of confidence c and sample size n.c = 0.99, n = 30
Find the critical values X2R and X2L for the level of confidence c and sample size n.c = 0.98, n = 26
Find the critical values X2R and X2L for the level of confidence c and sample size n.c = 0.95, n = 20
Find the critical values X2R and X2L for the level of confidence c and sample size n.c = 0.90, n = 8
Does a population have to be normally distributed in order to use the chi-square distribution?
Why is it necessary to check that np̂ ≥ 5 and nq̂ ≥ 5?
In a survey of 1052 parents of children ages 8–14, 68% say they are willing to get a second or part-time job to pay for their children’s college education, and 42% say they lose sleep worrying
In a survey of 3539 U.S. adults, 47% believe the economy is getting better. Three weeks prior to this survey, 53% believed the economy was getting better. The survey’s margin of error is ±
In a survey of 1035 U.S. adults, 37% say the U.S. spends too little on defense. The survey’s margin of error is ±4%.Translate the statement into a confidence interval. Approximate the level of
In a survey of 1000 U.S. adults, 71% think teaching is one of the most important jobs in our country today. The survey’s margin of error is ± 3%.Translate the statement into a confidence interval.
In a survey of 1503 U.S. adults, 79% say people have the right to nonviolent protest. The survey’s margin of error is ± 2.9%.Translate the statement into a confidence interval. Approximate the
In a survey of 1003 U.S. adults, 70% said being able to speak English is at the core of national identity. The survey’s margin of error is ± 3.4%.Translate the statement into a confidence
In Exercise 27, does it seem possible that any of the population proportions could be equal? Explain.Use the figure, which shows the results of a survey in which 2000 U.S. college graduates from the
Construct (a) a 95% confidence interval and (b) a 99% confidence interval for the population proportion of college students who gave each response.Use the figure, which shows the results of a survey
In Exercise 25, does it seem possible that any of the population proportions could be equal? Explain.Use the figure, which shows the results of a survey in which 1003 adults from the United States,
Construct a 99% confidence interval for the population proportion of adults who say national identity is strongly tied to birthplace for each country listed.Use the figure, which shows the results of
In Exercise 20(b), would a sample size of 600 be acceptable? Explain.Data from Exercise 20:You wish to estimate, with 95% confidence, the population proportion of motor vehicle fatalities that were
In Exercise 17(b), would a sample size of 200 be acceptable? Explain.Data from Exercise 17:You wish to estimate, with 95% confidence, the population proportion of U.S. adults who think Congress is
In Exercise 14, does it seem possible that the population proportion could be within 1% of the point estimate? Explain.Data from Exercise 14:In a survey of 600 United Kingdom teachers, 226 say they
In Exercise 11, does it seem possible that the population proportion could equal 0.59? Explain.Data from exercise 11:In a survey of 2241 U.S. adults in a recent year, 1322 say they have made a New
You wish to estimate, with 95% confidence, the population proportion of motor vehicle fatalities that were caused by alcohol-impaired driving. Your estimate must be accurate within 5% of the
You wish to estimate, with 90% confidence, the population proportion of U.S. adults who eat fast food four to six times per week. Your estimate must be accurate within 3% of the population
You wish to estimate, with 99% confidence, the population proportion of U.S. adults who support labeling legislation for genetically modified organisms (GMOs). Your estimate must be accurate within
You wish to estimate, with 95% confidence, the population proportion of U.S. adults who think Congress is doing a good or excellent job. Your estimate must be accurate within 4% of the population
In a survey of 1000 U.S. adults, 490 oppose allowing transgender students to use the bathrooms of the opposite biological sex. Construct a 90% confidence interval for the population proportion of
In a survey of 1,626,773 U.S. adults, 49,311 personally identify as lesbian, gay, bisexual, or transgender. Construct a 95% confidence interval for the population proportion of U.S. adults who
In a survey of 600 United Kingdom teachers, 226 say they would wear a body camera in school.Construct a 99% confidence interval for the population proportion. Interpret the results.
In a survey of 1000 U.S. adults, 700 think police officers should be required to wear body cameras while on duty.Construct a 99% confidence interval for the population proportion. Interpret the
In a survey of 2241 U.S. adults in a recent year, 650 made a New Year’s resolution to eat healthier.Construct 90% and 95% confidence intervals for the population proportion. Interpret the results
New Year’s Resolutions In a survey of 2241 U.S. adults in a recent year, 1322 say they have made a New Year’s resolution.Construct 90% and 95% confidence intervals for the population proportion.
In a survey of 2016 U.S. adults, 665 believe America should stop terrorism at all costs.Let p be the population proportion for the situation. Find point estimates of p and q.
In a survey of 2016 U.S. adults, 1310 think mainstream media is more interested in making money than in telling the truth.Let p be the population proportion for the situation. Find point estimates of
In a survey of 1040 U.S. adults, 478 believe the government should be able to access encrypted communications when investigating crimes.Let p be the population proportion for the situation. Find
In a survey of 1040 U.S. adults, 62 have had someone impersonate them to try to claim tax refunds.Let p be the population proportion for the situation. Find point estimates of p and q.
The point estimate for the population proportion of failures is 1 - p̂.Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
To estimate the value of p, the population proportion of successes, use the point estimate x.Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
In Exercise 38, does it seem possible that the population mean could be within 10% of the sample mean? Explain.Data from Exercise 38:In a recent season, the population standard deviation of the yards
In Exercise 36, does it seem possible that the population mean could equal half the sample mean? Explain.Data from Exercise 36:In a random sample of 18 months from June 2008 through September 2016,
In a recent season, the population standard deviation of the yards per carry for all running backs was 1.80. The yards per carry of 13 randomly selected running backs are listed. Assume the yards per
The gas mileages (in miles per gallon) of 28 randomly selected sports cars are listed. Assume the mileages are not normally distributed.Use the standard normal distribution or the t-distribution to
In a random sample of 18 months from June 2008 through September 2016, the mean interest rate for 30-year fixed rate conventional home mortgages was 4.36% and the standard deviation was 0.75%. Assume
In Exercise 32, the population mean salary is $61,000. Does the t-value fall between -t0.98 and t0.98?Data from Exercise 32:The annual earnings (in dollars) of 40 randomly selected intermediate level
In Exercise 31, the population mean salary is $72,000. Does the t-value fall between -t0.98 and t0.98?Data from Exercise 31:The annual earnings (in dollars) of 32 randomly selected magnetic resonance
The annual earnings (in dollars) of 40 randomly selected intermediate level life insurance underwriters.Use the data set to (a) Find the sample mean, (b) Find the sample standard deviation,
The annual earnings (in dollars) of 32 randomly selected magnetic resonance imaging technologists.Use the data set to (a) Find the sample mean, (b) Find the sample standard deviation,
In Exercise 28, the population mean weekly time spent on homework by students is 7.8 hours. Does the t-value fall between -t0.99 and t0.99?Data from Exercise 28:The weekly time spent (in hours) on
In Exercise 25, the population mean SAT score is 1020. Does the t-value fall between -t0.99 and t0.99?Data from exercise 25:The SAT scores of 12 randomly selected high school seniors 1130 1290 1010
Use the data set to(a) Find the sample mean, (b) Find the sample standard deviation, and (c) Construct a 99% confidence interval for the population mean. Assume the population is normally
You research repair costs of mobile devices and find that the population mean is $89.56. In Exercise 20, does the t-value fall between -t0.95 and t0.95?Data from exercise 20:In a random sample of 12
You research prices of cell phones and find that the population mean is $431.61. In Exercise 19, does the t-value fall between -t0.95 and t0.95?Data from Exercise 19:In a random sample of eight cell
In a random sample of 12 mobile devices, the mean repair cost was $90.42 and the standard deviation was $33.61.You are given the sample mean and the sample standard deviation. Assume the population
In a random sample of eight cell phones, the mean full retail price was $526.50 and the standard deviation was $184.00.You are given the sample mean and the sample standard deviation. Assume the
Use the confidence interval to find the margin of error and the sample mean.(16.2, 29.8)
Use the confidence interval to find the margin of error and the sample mean.(64.6, 83.6)
Use the confidence interval to find the margin of error and the sample mean.(6.17, 8.53)
Construct the indicated confidence interval for the population mean μ using the t-distribution. Assume the population is normally distributed.c = 0.98, x̅ = 4.3, s = 0.34, n = 14
Construct the indicated confidence interval for the population mean μ using the t-distribution. Assume the population is normally distributed.c = 0.95, x̅ = 13.4, s = 0.85, n = 8
Construct the indicated confidence interval for the population mean μ using the t-distribution. Assume the population is normally distributed.c = 0.90, x̅ = 12.5, s = 2.0, n = 6
Find the margin of error for the values of c, s, and n.c = 0.98, s = 4.7, n = 9
Find the margin of error for the values of c, s, and n.c = 0.90, s = 2.4, n = 35
Find the margin of error for the values of c, s, and n.c = 0.99, s = 3, n = 6
Find the margin of error for the values of c, s, and n.c = 0.95, s = 5, n = 16
Find the critical value tc for the level of confidence c and sample size n.c = 0.98, n = 40
Find the critical value tc for the level of confidence c and sample size n.c = 0.99, n = 16
Find the critical value tc for the level of confidence c and sample size n.c = 0.95, n = 12
Find the critical value tc for the level of confidence c and sample size n.c = 0.90, n = 10
In a hypothesis test, you assume the alternative hypothesis is true.Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
Does failing to reject the null hypothesis mean that the null hypothesis is true? Explain.
What are the two decisions that you can make from performing a hypothesis test?
Describe the two types of errors possible in a hypothesis test decision.
What are the two types of hypotheses used in a hypothesis test? How are they related?
Use the standard normal distribution or the t-distribution to construct the indicated confidence interval for the population mean of each data set. Justify your decision. If neither distribution can
The data set represents the scores of 12 randomly selected students on the SAT Physics Subject Test. Assume the population test scores are normally distributed and the population standard deviation
The data set represents the weights (in pounds) of 10 randomly selected black bears from northeast Pennsylvania. Assume the weights are normally distributed. 170 225 183 137
In a survey of 2096 U.S. adults, 1740 think football teams of all levels should require players who suffer a head injury to take a set amount of time off from playing to recover. (a) Find the

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