take a lasses there e null more other VSSE) siness ESS. hat the niors al chmark 9.16 A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually I gallon. You know from the water bottling company specifications that the standard deviation of the amount of water per bottle is 0.02 gallon. You select a random sample of 50 bottles, and the mean amount of water per l-gallon bottle is 0.995 gallon. a. Is there evidence that the mean amount is different from 1.0 gallon? (Use a = 0.01.) b. Compute the p-value and interpret its meaning, e. Construct a 99% confidence interval estimate of the population mean amount of water per bottle. d. Compare the results of (a) and (c). What conclusions do you reach? mpleted Ost was is less 9.50 A survey of nonprofit organizations showed that online fund- raising has increased in the past year. Based on a random sample of 133 nonprofits, the mean one-time gift donation resulting from email outreach in the past year was $87. Assume that the sample standard deviation is $9. a. If you test the null hypothesis at the 0.01 level of significance, is there evidence that the mean one-time gilt donation is greater than $85.502 b. Interpret the meaning of the p-value in this pruhlem. in the of prac- 9.25 A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as ounces the company wants the paek- ages to contain a mean of 8.1 ounces so that virtually none or the packages contain less than 8 ounces. A sample of 50 packages is selected per nully, and the packaging process is stopped il there is evidence that the mean amount packaged is different from 8.17 ounces: Suppose that in a particular sample 1 50 packages the mean amount dispensed is 8 139 punces with a sample stana dard destron atenc 1. Is there evidence that the pupulation mean amount is datterent from cluse sevel of significate b. Determine the pevalue and interpers dan 9.2 The ane IL Den le take a lasses there e null more other VSSE) siness ESS. hat the niors al chmark 9.16 A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually I gallon. You know from the water bottling company specifications that the standard deviation of the amount of water per bottle is 0.02 gallon. You select a random sample of 50 bottles, and the mean amount of water per l-gallon bottle is 0.995 gallon. a. Is there evidence that the mean amount is different from 1.0 gallon? (Use a = 0.01.) b. Compute the p-value and interpret its meaning, e. Construct a 99% confidence interval estimate of the population mean amount of water per bottle. d. Compare the results of (a) and (c). What conclusions do you reach? mpleted Ost was is less 9.50 A survey of nonprofit organizations showed that online fund- raising has increased in the past year. Based on a random sample of 133 nonprofits, the mean one-time gift donation resulting from email outreach in the past year was $87. Assume that the sample standard deviation is $9. a. If you test the null hypothesis at the 0.01 level of significance, is there evidence that the mean one-time gilt donation is greater than $85.502 b. Interpret the meaning of the p-value in this pruhlem. in the of prac- 9.25 A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as ounces the company wants the paek- ages to contain a mean of 8.1 ounces so that virtually none or the packages contain less than 8 ounces. A sample of 50 packages is selected per nully, and the packaging process is stopped il there is evidence that the mean amount packaged is different from 8.17 ounces: Suppose that in a particular sample 1 50 packages the mean amount dispensed is 8 139 punces with a sample stana dard destron atenc 1. Is there evidence that the pupulation mean amount is datterent from cluse sevel of significate b. Determine the pevalue and interpers dan 9.2 The ane IL Den le