A sociologist is studying the social aspect of eating out and in particular is interested in the amount of time people spend in fast food restaurants versus more formal restaurants. She visits one fast food restaurant and has a colleague visit one formal restaurant at the same day/time as her They collectively observe the following times (lengths of visits) in minutes: Fast food 19 21 16 21 30 24 Formal 63 38 72 66 64 78 93 (a) By hand, conduct a formal hypothesis test at 5% level of significance to see if the average time spent in a fast food restaurant is lower than the average time spent in a formal restaurant using the p-value approach. (b) Interpret the p-value found in (a).

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A sociologist is studying the social aspect of eating out and in particular is interested in the amount of time people
spend in fast food restaurants versus more formal restaurants. She visits one fast food restaurant and has a
colleague visit one formal restaurant at the same day/time as her They collectively observe the following times
(lengths of visits) in minutes:
Fast food 19 21
16
21
30 24
Formal
63 38
72
66 64 78 93
(a) By hand, conduct a formal hypothesis test at 5% level of significance to see if the average time spent in a fast
food restaurant is lower than the average time spent in a formal restaurant using the p-value approach.
(b) Interpret the p-value found in (a).
Transcribed Image Text:A sociologist is studying the social aspect of eating out and in particular is interested in the amount of time people spend in fast food restaurants versus more formal restaurants. She visits one fast food restaurant and has a colleague visit one formal restaurant at the same day/time as her They collectively observe the following times (lengths of visits) in minutes: Fast food 19 21 16 21 30 24 Formal 63 38 72 66 64 78 93 (a) By hand, conduct a formal hypothesis test at 5% level of significance to see if the average time spent in a fast food restaurant is lower than the average time spent in a formal restaurant using the p-value approach. (b) Interpret the p-value found in (a).
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