USE THE FOLLOWING INFORMATION FOR QUESTIONS 17 18 17 Suppose a grocery store is considering the purchase of a new self checkout machine that might get customers through the checkout line faster than their current machine Before he spends the money on the equipment, he wants to know if the customers will check out faster with the new machine compared to the current machine The store manager recorded the checkout times, in seconds, for a randomly selected sample of checkouts from each machine The summary statistics are provided in the table below, which is also provided in the Excel sheet for this question Sample size Sample mean Sample SD Current machine 51 128 4 29 8 New machine 48 113 0 24 2 Assuming that you will conduct a two sample t test, what is standard error for currentnew Answer to three decimal places as needed 18 The manager finds the following 90 confidence interval for the difference in means using currentnew (6 36, 24 44) Is the new machine significantly faster Make a concluding sentence for the hypothesis test that would be used to answer this question, explaining how you came to your conclusion In your answer, include the significance level () for this test

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USE THE FOLLOWING INFORMATION FOR QUESTIONS 17 - 18. 17. Suppose a grocery store is considering the purchase of a new self-checkout machine that might

USE THE FOLLOWING INFORMATION FOR QUESTIONS 17 - 18.

17. Suppose a grocery store is considering the purchase of a new self-checkout machine that might get customers through the

checkout line faster than their current machine. Before he spends the money on the equipment, he wants to know if the customers will check out faster with the new machine compared to the current machine. The store manager recorded the checkout times, in seconds, for a randomly selected sample of checkouts from each machine. The summary statistics are provided in the table below, which is also provided in the Excel sheet for this question.

	Sample size	Sample mean	Sample SD
Current machine	51	128.4	29.8
New machine	48	113.0	24.2

Assuming that you will conduct a two sample t-test, what is standard error for currentnew? Answer to three decimal places as needed.

18. The manager finds the following 90% confidence interval for the difference in means using currentnew: (6.36, 24.44).

Is the new machine significantly faster? Make a concluding sentence for the hypothesis test that would be used to answer this question, explaining how you came to your conclusion. In your answer, include the significance level () for this test.