Exercise 7 A neighbor grows and sells cucumbers in the summer. She packages them in plastic storage bags and claims that the true mean weight of these bags is 1

pound.To test her claim, you take a random sample of 64 of these cucumber-filled bags, weigh them,and find the sample mean weight to be i = 1.03 pounds. The population standard deviation is o= 0.08 Ibs. (a) Determine a 90% confidence interval for the population mean weight µ of these bags of cucumbers by hand. Then check your results using Minitab. Minitab 19 (Mac and PC) 1 Choose Stat > Basic Statistics > 1-Sample Z. 2 Choose Summarized data. 3 In Sample size, enter 64. 4 In Sample mean, enter 1.03. 5 In Known standard deviation, enter 0.08. 6 Click Options. In Confidence level, enter 90. Click OK in each dialog box. Minitab Express 1 Open the 1-sample Z dialog box. * Mac: Statistics > 1-Sample Inference > Z * PC: STATISTICS > One Sample > Z 2 From the drop-down list, select Summarized data. 3 In Sample size, enter 64. 4 In Sample mean, enter 1.03. 5 In Known standard deviation, enter 0.08. 6 Click the Options tab. Under Confidence level, select 90. 7 Click OK. (b) With 90% confidence, is the neighbor's claim true? Why or why not?