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statistics
elementary statistics a step by step approach

Questions and Answers of Elementary Statistics A Step By Step Approach

What is meant by the explained variation? How is it computed?
From the Data Bank, choose two variables that might be related: for example, IQ and educational level; age and cholesterol level; exercise and weight; or weight and systolic pressure. Do a complete
Determine whether each statement is true or false. If the statement is false, explain why.A correlation coefficient of - 1 implies a perfect linear relationship between the variables.
For each team in major league baseball note the number of wins the team had last year and the number of home runs by its best home run hitter. Is the number of wins linearly related to the number of
Before a television set leaves the factory, it is given a quality control check. The probability that a television contains 0, 1, or 2 defects is 0.88, 0.08, and 0.04, respectively. In a sample of 16
For Exercises perform each of the following steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the
Determine whether each statement is true or false. If the statement is false, explain why.If the same diet is given to two groups of randomly selected individuals, the samples are considered to be
Use the data collected in data project 2 of Chapter 7 regarding home runs for this problem. Test the claim that the mean number of home runs hit by the American League sluggers is the same as the
For each exercise, perform these steps. Assume that all variables are normally or approximately normally distributed.a. State the hypotheses and identify the claim.b. Find the critical value(s).c.
Use the data regarding BMI that were collected in data project 6 of Chapter 7 to complete this problem. Test the claim that the mean BMI for males is the same as that for females. Test the claim that
Using the same data obtained in Exercise 4, test the hypothesis that the variances are equal.Data from in Exercise 4Select two samples of 20 values from the data in Data Set IV in Appendix B. Test
Find each X, given p̂.a. p̂ = 0.24, n = 300b. p̂ = 0.09, n = 200c. p̂ = 88%, n = 500d. p̂ = 40%, n = 480e. p̂ = 32%, n = 700
To test the equality of two variances, you would use a (n) _______ test.a. zb. tc. Chi-squared. F
For each exercise, perform these steps. Assume that all variables are normally or approximately normally distributed.a. State the hypotheses and identify the claim.b. Find the critical value(s).c.
Using data from the Internet for the last Presidential election to categorize the 50 states as “red” or “blue” based on who was supported for President in that state, the Democratic or
For Exercises perform each of the following steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the
To test the equality of two proportions, you would use a (n) _______ test.a. zb. t c. Chi-squared. F
Use the data collected in data project 6 of Chapter 2 regarding heart rates. Test the claim that the heart rates after exercise are more variable than the heart rates before exercise.Data from in
Find p̅ and q̅ .a. X1 = 6, n1 = 15, X 2= 9, n2 = 15b. X1 = 21, n1 = 100, X2 = 43, n2 = 150c. X1 = 20, n1 = 80, X2 = 65, n2 = 120d. X1
For Exercises perform each of the following steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the
The mean value of F is approximately equal toa. 0b. 0.5 c. 1d. It cannot be determined.
For Exercises perform these steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use the
What test can be used to test the difference between two sample means when the population variances are known?a. zb. t c. Chi-squared. F
For these exercises, perform each of these steps. Assume that all variables are normally or approximately normally distributed.a. State the hypotheses and identify the claim.b. Find the critical
For Exercises perform these steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use the
For each exercise, perform these steps. Assume that all variables are normally or approximately normally distributed.a. State the hypotheses and identify the claim.b. Find the critical value(s).c.
For Exercises perform each of these steps. Assume that all variables are normally or approximately normally distributed.a. State the hypotheses and identify the claim.b. Find the critical value(s).c.
For these exercises, perform each of these steps. Assume that all variables are normally or approximately normally distributed.a. State the hypotheses and identify the claim.b. Find the critical
Determine whether each statement is true or false. If the statement is false, explain why.The values of F cannot be _______.
For Exercises perform the following steps. Assume that all variables are normally distributed.a. State the hypotheses and identify the claim.b. Find the critical value.c. Compute the test value.d.
For Exercises perform these steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use the
For Exercises perform the following steps. Assume that all variables are normally distributed.a. State the hypotheses and identify the claim.b. Find the critical value.c. Compute the test value.d.
For each of these problems, perform the following steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the
For Exercises perform these steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use the
For Exercises perform the following steps. Assume that all variables are normally distributed.a. State the hypotheses and identify the claim.b. Find the critical value.c. Compute the test value.d.
Two large home improvement stores advertise that they sell their paint at the same average price per gallon. A random sample of 25 cans from store Y had a standard deviation of $5.21, and store Z had
The formula for the F test for variances is _______.
For each of these problems, perform the following steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the
For each of these problems, perform the following steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the
For these exercises, perform each of these steps. Assume that all variables are normally or approximately normally distributed.a. State the hypotheses and identify the claim.b. Find the critical
For Exercises perform these steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use the
For each of these problems, perform the following steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the
For each of these problems, perform the following steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the
For each of these problems, perform the following steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the
For these exercises, perform each of these steps. Assume that all variables are normally or approximately normally distributed.a. State the hypotheses and identify the claim.b. Find the critical
For Exercises perform these steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use the
For these exercises, perform each of these steps. Assume that all variables are normally or approximately normally distributed.a. State the hypotheses and identify the claim.b. Find the critical
A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salaries of secondary school teachers. A random sample of the salaries of 30
For each of these problems, perform the following steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the
For Exercises perform the following steps. Assume that all variables are normally distributed.a. State the hypotheses and identify the claim.b. Find the critical value.c. Compute the test value.d.
For each of these problems, perform the following steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the
For these exercises, perform each of these steps. Assume that all variables are normally or approximately normally distributed.a. State the hypotheses and identify the claim.b. Find the critical
For each of these problems, perform the following steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the
For these exercises, perform each of these steps. Assume that all variables are normally or approximately normally distributed.a. State the hypotheses and identify the claim.b. Find the critical
A recent survey of 200 randomly selected households showed that 8 had a single male as the head of household. Forty years ago, a survey of 200 randomly selected households showed that 6 had a single
If there is a significant difference between p1 and p2 and between p2 and p3, can you conclude that there is a significant difference between p1 and p3?
A researcher wants to compare the variances of the heights (in inches) of four-year college basketball players with those of players in junior colleges. A random sample of 30 players from each type
For each of these problems, perform the following steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the
According to the almanac, the average sales price of a single-family home in the metropolitan Dallas/Ft. Worth/Irving, Texas, area is $143,800. The average home price in Orlando, Florida, is
Compare the proportion of men who are smokers with the proportion of women who are smokers. Use the data in the Data Bank. Choose random samples of size 30 or more. Use the z test for
Select two samples of 20 values from the data in Data Set IV in Appendix B. Test the hypothesis that the mean heights of the buildings are equal.Data from in Data Set IV Data Set IV Heights (in Feet)
The study cited in the article entitled “Only the Timid Die Young” stated that “Timid rats were 60% more likely to die at any given time than were their outgoing brothers.” Based on the
Based on the study presented in the article entitled “Sleeping Brain, Not at Rest,” answer these questions.a. What were the variables used in the study?b. How were they measured?c. Suggest a
Repeat the experiment in Exercise 1, using a different variable and two samples of size 15. Compare the means by using a t test.Data from in Exercise 1From the Data Bank, select a variable and
Determine whether each statement is true or false. If the statement is false, explain why.Tests for variances are always two-tailed.
Use the cell phone data collected for data project 2 in Chapter 8 to complete this problem. Test the claim that the mean length for outgoing calls is the same as that for incoming calls. Test the
Determine whether each statement is true or false. If the statement is false, explain why.When computing the F test value, you should place the larger variance in the numerator of the fraction.
For each exercise, perform these steps. Assume that all variables are normally or approximately normally distributed.a. State the hypotheses and identify the claim.b. Find the critical value(s).c.
From the Data Bank, select a variable and compare the mean of the variable for a random sample of at least 30 men with the mean of the variable for the random sample of at least 30 women. Use a z
For the following exercises where applicable:a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use
Determine whether each statement is true or false. If the statement is false, explain why.When you are testing the difference between two means, it is not important to distinguish whether the samples
Use the data collected in data project 1 of Chapter 2 to complete this problem. Test the claim that the mean earnings per share for Dow Jones stocks are greater than for NASDAQ stocks.Data from in
For the following exercises where applicable:a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use
Use the traditional method of hypothesis testing unless otherwise specified. Assume all variables are normally distributed.Find the P-value for the z test in Exercise 15.Data from in Exercise 15A
For the following exercises where applicable:a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use
For the following exercises where applicable:a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use
For the following exercises where applicable:a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use
For the following exercises where applicable:a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use
Use the traditional method of hypothesis testing unless otherwise specified. Assume all variables are normally distributed.Find the P-value for the z test in Exercise 16.Data from in Exercise 16A
For Exercises perform each of the following steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the
A survey in Men’s Health magazine reported that 39% of cardiologists said that they took vitamin E supplements. To see if this is still true, a researcher randomly selected 100 cardiologists and
A magazine article stated that the average age of women who are getting married for the first time is 26 years. A researcher decided to test this hypothesis at α = 0.02. She selected a random sample
Approximately 70% of the U.S. population recycles. According to a green survey of a random sample of 250 college students, 204 said that they recycled. At α = 0.01, is there sufficient evidence to
A taxi company claims that its drivers have an average of at least 12.4 years’ experience. In a study of 15 randomly selected taxi drivers, the average experience was 11.2 years. The standard
For the following exercises where applicable:a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use
A conjecture about a population parameter is called a(n) _______.
For Exercises perform each of the following steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the
Suppose a statistician chose to test a hypothesis at α = 0.01. The critical value for a right-tailed test is +2.33. If the test value were 1.97, what would the decision be? What would happen if,
A magazine claims that 75% of all teenage boys have their own radios. A researcher wished to test the claim and selected a random sample of 60 teenage boys. She found that 54 had their own radios. At
For Exercises perform each of the following steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the
A Harris Poll found that 35% of people said that they drink a caffeinated beverage to combat midday drowsiness. A recent survey found that 19 out of 48 randomly selected people stated that they drank
For the following exercises where applicable:a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use
For Exercises perform each of the following steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the
For the following exercises where applicable:a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use
For Exercises perform each of the following steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the
For the following exercises where applicable:a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use
For the following exercises where applicable:a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use
For the following exercises where applicable:a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use
For Exercises perform each of the following steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Find the test value.d. Make the decision.e. Summarize the results.The
For the following exercises where applicable:a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use

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