The TTC has set a bus mechanical reliability goal of 3,800 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted in a sample mean of 3,850 bus miles and a sample standard deviation of 325 bus miles. Complete parts (a) and (b) below. a. Is there evidence that the population mean bus miles is more than 3,800 bus miles? (Use a 0.10 level of significance.) State the null and alternative hypotheses. Ho: H H: H (Type integers) Find the test statistic for this hypothesis test. The test statistic t = (Round to two decimal places as needed.) The critical value for the test statistic is(are) . Round to two decimal places as needed) Is there sufficient evidence to reject the null hypothesis using a = 0.10? A. Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean bus miles is greater than 3,800 bus miles. B. Do not reject the null hypothesis. There is insufficient evidence at the 0. 10 level of significance that the population mean bus miles is less than 3,800 bus miles. O C. Reject the null hypothesis. There is sufficient evidence at the 0.10 level of significance that the population mean bus miles is less than 3,800 bus miles. O D. Do not reject the null hypothesis. There is insufficient evidence at the 0.10 level of significance that the population mean bus miles is greater than 3,800 bus miles. b. The p-value is . (Round to 3 decimal places as needed.)What does this p-value mean given the results of part (a)? O A. The p-value is the probability that the actual mean is 3,850 bus miles or less. 0 B. The p-value is the probability that the actual mean is 3,800 bus miles or greater given the sample mean is 3.850 bus miles. 0 C. The p-value is the probability that the actual mean is greater than 3,850 bus miles. 0 D. The p-value is the probability of getting a sample mean of 3,850 bus miles or greater if the actual mean is 3,800 bus miles. A study, which randomly surveyed 3,400 households and drew on this information from the CRA (Canada Revenue Agency), found that 76% of households have conducted at least one pension rollover from an employer-sponsored retirement plan. Suppose a recent random sample of 90 households in a oertain county was taken and respondents were asked whether they had ever funded a RRSP account with a rollover from an employer-sponsored retirement plan. Based on the sample data below, can you conclude at the 0.05 level of signicance that the proportion of households in the county that have funded an RRSP with a rollover is dierent from the proportion for all households reported in the study? 72 respondents said they had funded an account; 18 respondents said they had not Determine the null and alternative hypotheses. Choose the correct answer below. OA. H:1'r=0.76 O B. H:1150.76 HA:110.76 HA:11>0.76 o c. Hon-[$0.76 o D. Hon-[20.76 HAzn=0.76 HAzn 0.5 O B. H0211=0.5 H1:n 0.91 OB. Ho: I 5.ooo O B. Ho: 1:50.32 and H1:1I:>0.32 O C. Ho: its 5,000 and H121r>5,000 O D. H0: 1:50.25 and H1:1r>0.25 [b] Since a telephone poll was used, this is a sample. Hence we should use a t-test here. Answer: TRUE or FALSE 0 True 0 False [c] The smndard deviation cannot be computed here since we do not know (1. Answer: TRUE or FALSE 0 True O False Recently, a large academic medical center determined that 8 of 15 employees in a particular position were male, whereas 44% of the employees for this position in the general workforce were male. At the 0.05 level of significance, is there evidence that the proportion of males in this position at this medical center is different from what would be expected in the general workforce? What are the correct hypotheses to test to determine if the proportion is different? A. Ho: It = 0.44; H1: It # 0.44 O B. Ho: It 2 0.44; H1: It 0.44 O D. Ho: It # 0.44; H,: It= 0.44 Calculate the test statistic. ZSTAT = (Type an integer or a decimal. Round to two decimal places as needed.)The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,525 hours. The population standard deviation is 100 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,500 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,525 hours? b. Compute the p-value and interpret its meaning c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. d. Compare the results of (a) and (c). What conclusions do you reach?A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 46.5 milligrams. Assume the population is normally distributed and the population standard deviation is 6.8 milligrams. At o = 0.04, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and Ha . Choose the correct answer below. O A. Ho: H 2 45 O B. Ho: H = 46.5 Ha: H 10 Ha: H 2 10 O C. Ho: H > 10 O D. Ho: H # 10 Ha: HS 10 Ha: H = 10 OE. Ho: H = 10 OF. Ho: H 2 10 Ha: H # 10 Ha: H 28 Ha: \"28 (claim) Ha: p>28 (claim) Ha: ">28 (b) Find the critical value and identify the rejection region. 20 = (Round to two decimal places as needed.) D (c) Find the standardized test statistic. Rejection region: 2 W z = (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. 0 Reject Ho O Fail to reject Ho (e) Interpret the decision in the context of the original claim. At the 13% significance level, there enough evidence to the scientist's claim that the mean nitrogen dioxide level in the city is greater than 28 parts per billion