A bottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. The water bottling company's specifications state that the standard deviation of the amount of water is equal to 0.03 gallon. A random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.968 gallon. Complete parts (a) through (d). a. Construct a 95% confidence interval estimate for the population mean amount of water included in a 1-gallon bottle. ☐sμs (Round to five decimal places as needed.) b. On the basis of these results, do you think that the distributor has a right to complain to the water bottling company? Why? ▼because a 1-gallon bottle containing exactly 1-gallon of water lies the 95% confidence interval. c. Must you assume that the population amount of water per bottle is normally distributed here? Explain. OA. Yes, because the Central Limit Theorem almost always ensures that X is normally distributed when n is large. In this case, the value of n is small. OB. Yes, since nothing is known about the distribution of the population, it must be assumed that the population is normally distributed. OC. No, because the Central Limit Theorem almost always ensures that X is normally distributed when n is large. In this case, the value of n is large. OD. No, because the Central Limit Theorem almost always ensures that X is normally distributed when n is small. In this case, the value of n is small. d. Construct a 90% confidence interval estimate. How does this change your answer to part (b)? (Round to five decimal places as needed.) How does this change your answer to part (b)? A 1-gallon bottle containing exactly 1-gallon of water lies the 90% confidence interval. The distributor sus a right to complain to the bottling company.

What is the rejection region? Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) O A. z O B. z > OC z< (c) Find the standardized test statistic z. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Vthe wind speed in Region B. V the researcher's claim that the wind speed in Region A is H. There enough evidence at the 5% level of significance to

An energy company wants to choose between two regions in a state to install energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region B. To test the regions, the average wind speed is calculated for 60 days in each region. The mean wind speed in Region A is 13.8 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.1 miles per hour. Assume the population standard deviation is 3.1 miles per hour. At a = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. C. The wind speed in Region A is not less than the wind speed in Region B. D. The wind speed in Region A is less than the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2. Identify Ho and Ha. Ho: H1 2 H2 Ha: 1 В. z C. z< - 1.645 (c) Find the standardized test statistic z. (Round to two decimal places as needed.)

You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 29 Model A washing machines is $211. Assume the population standard deviation is $15. The mean repair cost of 26 Model B washing machines is $216. Assume the population standard deviation is $25. At a = 0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). O A The mean repair cost for Model A is greater than Model B B. The mean repair costs for Model A and Model B are equal. O C. The mean repair cost for Model A is less than Model B O D. The mean repair costs for Model A and Model B are different. Let u, be the mean repair cost for Model A and let u, be the mean repair cost for Model B. What are Ho and H,? O B. Ho: H1 =H2 Hai H1 # H2 O E. Ho: H1 # H2 OC. Ho: H1 SH2 Hai H1>H2 OF. Ho: H1ZH2 Ha:…