Museum Attendance A metropolitan childrens museum open

Chapter 9, Problem 8

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QUESTION:

Museum Attendance A metropolitan childrens museum open year-round wants to see if the variance in daily attendance differs between the summer and winter months. Random samples of 30 days each were s22 s21 s22 s21 s22 s21 s22 s21 s22 s21 selected and showed that in the winter months, the sample mean daily attendance was 300 with a standard deviation of 52, and the sample mean daily attendance for the summer months was 280 with a standard deviation of 65. At a _ 0.05 can we conclude a difference in variances?

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QUESTION:

Museum Attendance A metropolitan childrens museum open year-round wants to see if the variance in daily attendance differs between the summer and winter months. Random samples of 30 days each were s22 s21 s22 s21 s22 s21 s22 s21 s22 s21 selected and showed that in the winter months, the sample mean daily attendance was 300 with a standard deviation of 52, and the sample mean daily attendance for the summer months was 280 with a standard deviation of 65. At a _ 0.05 can we conclude a difference in variances?

ANSWER:

Step 1 of 5

Based on the given information we know that a random sample from population 1 has sample size , sample mean  and sample standard deviation .

On the other hand, a random sample from population 2 has a sample size , sample mean  and sample standard deviation . We assume that both populations are normal distributed and independent.

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