Concerned that some patrons find his menu a little too cumbersome making them take longer to...

Concerned that some patrons find his menu a little too cumbersome making them take longer to decide what to order, Joe Giancarlo decides to test a streamlined menu. He randomly selects 8 families of four to dine (for free) in one of his pizzerias on two consecutive Saturday evenings. On the first Saturday, the patrons receive the current menu and the streamlined menu on the second Saturday. Decision time is measured (in minutes) from the time the patrons are seated until they place their order. The patrons are not told their decision time is being measured.

The decision times measured were as follows:

Family	Decision Time
Family	Current	Streamlined
1	2.86	7.87
2	7.47	8.54
3	6.84	9.92
4	3.72	4.22
5	9.65	1.69
6	3.89	2.11
7	7.25	2.91
8	6.04	4.44

Joe wants to know if there is a difference in decision time between the two menus, with a 0.05 alpha.

State the null and alternate hypotheses:

Compute on a separate sheet. Enter value here:_______
Compute s_diffon a separate sheet. Enter value here:_________
How many degrees of freedom are there?_______
Is this a single- or two-tailed test? ___________
Calculate your t-test statistic on separate sheet. Enter value here:________
What is the critical t-value?________
Based on your t-test statistic and critical t-value, what decision should Joe make?

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orchestra answered 3 years ago

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