A researcher wants to know whether athletic men are more flexible than nonathletic men. For this experiment, a man who exercised vigorously at least four times per week was considered "athletic." Flexibility is measured in inches on a sit & reach-box. Test the researcher's claim using the following summary statistics (use 5% level of significance): Athletic Men n = 50 * = 4.3 inches s = 2.1 inches Nonathletic Men h= 40 x = 3.2 inches s = 1.0 inches Assume that all conditions for testing have been met. Be sure to report the null and alternative hypotheses, test statistic, p-value, your decision regarding the null hypothesis, and your conclusion about the original claim. Round all values to the nearest thousandth. (a) Provide detailed calculations; use technology to calculate required percentiles. (b) Verify your results using technology (provide the output).

A software company is interested in improving customer satisfaction rate from the 61% currently claimed. The company sponsored a survey of 196 customers and found that 129 customers were satisfied. What is the test statistic z?

During the 2010 MLB seasons, the home team won 1,269 games and the away team won 1,371 games. What is the test statistic to compare the observed data versus a 50/50 outcome? Round to two decimal places.

Samples of body temperatures were taken from both men and women. The information from the samples is summarized below. Use a 0.05 significance level to to test the claim that men and women have different mean body temperatures. Men: n₁ = 15; 1 = 98.38° F; s₁ = 0.45°F Women: n2=91; 2 = 98.17°F; $2 = 0.65° F a. On your Work Upload or Calculations page, write down your hypotheses. Label which hypothesis is the claim. b. The test statistic is c. The critical value is . (Round to 3 decimal places.) (Round to 3 decimal places.) d. The p-value is (Round to 3 decimal places.) e. On your Work Upload or Calculations page, show how you made your decision using either the traditional or p-value method. The correct decision is to 1: Reject the null hypothesis, or 2: Fail to reject the null hypothesis. box.) (Type 1 or 2 in the f. On your Work Upload or Calculations page, write your conclusion/results summary. (Use the standard language about evidence and support of claims.)

An arborist is interested in determining the mean diameter (in centimeters) of mature white oak trees at a certain height above the base. She measures 7 of these trees and finds the following sample statistics: F = 49.09 and s = interval for the mean diameter of a mature white oak tree. 13.80. Construct a 95% confidence

A software company is interested in improving customer satisfaction rate from the 55% currently claimed.  The company sponsored a survey of 247 customers and found that 146 customers were satisfied. What is the test statistic z?

The Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.

Kenneth, a competitor in cup stacking, claims that his average stacking time is 8.2 seconds. During a practice session, Kenneth has a sample stacking time mean of 7.8 seconds based on 11 trials. At the 4% significance level, does the data provide sufficient evidence to conclude that Kenneth's mean stacking time is less than 8.2 seconds? Accept or reject the hypothesis given the sample data below. H0:μ=8.2 seconds; Ha:μ<8.2 seconds α=0.04 (significance level) z0=−1.75 p=0.0401 Select the correct answer below:   a. Do not reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04.   b. Reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04.   c. Reject the null hypothesis because the value of z is negative.   d. Reject the null hypothesis because |−1.75|>0.04.   e. Do not reject the null hypothesis because |−1.75|>0.04.

A dietitian wishes to see if a person's cholesterol level will change if the diet is supplemented by a certain mineral. Seven subjects were pretested and then took the mineral supplement for a six-week period. The results are shown below in the table. Use a paired samples t-chart at a = 0.01 significance level to see difference (Before - After) between the cholesterol levels. State the hypotheses and conclusion. Also, conduct a 99% confidence interval. Subject 1 Before 210 After 190 2 205 170 3 208 210 4 192 188 5 178 173 6 244 228 7 211 198

The coach of a very popular men’s basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M= 36 miles and s= 5 miles. Test the coach’s claim at the 5% (.05) level of significance.    one-tailed or two-tailed test:  State the hypotheses: df= tα or t value for the critical region =  sM =    t (test statistic)= Decision: