1. We know that physical exercise improves the body, but can it also improve the mind? Scientists at The Salk Institute at La Jolla, California, took a random sample of adult mice and divided them into two groups. Both groups were trained to find a platform in a maze filled with cloudy water. (Mice hate swimming, so they seek the platform as the refuge.) The first group of mice exercised on a running wheel, about 5 kilometers per day. The second group remained inactive. After one month, the mice were placed in the maze and timed until each reached the platform. The sample statistics are given below. Active group: n1 = 15, = 17.6, s1 = 3.0 Inactive group: n2 = 12, 2 = 27.1, s82 = 6.3 Conduct a hypothesis test to determine if exercise improves memory in adult mice; in other words, test if the active group is, on average, faster than the inactive group.

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a) Degrees of freedom

b) The value of test statistic and p-value are 

c) At the significance level calculated in part (b), we conclude that exercise

1. We know that physical exercise improves the body, but can it also improve the mind? Scientists
at The Salk Institute at La Jolla, California, took a random sample of adult mice and divided
them into two groups. Both groups were trained to find a platform in a maze filled with cloudy
water. (Mice hate swimming, so they seek the platform as the refuge.) The first group of mice
exercised on a running wheel, about 5 kilometers per day. The second group remained inactive.
After one month, the mice were placed in the maze and timed until each reached the platform.
The sample statistics are given below.
Active group: n1 = 15, ē1 = 17.6, s1 = 3.0
%3D
Inactive group: ng = 12, F2 = 27.1, s2 = 6.3
%3D
Conduct a hypothesis test to determine if exercise improves memory in adult mice; in other
words, test if the active group is, on average, faster than the inactive group.
Transcribed Image Text:1. We know that physical exercise improves the body, but can it also improve the mind? Scientists at The Salk Institute at La Jolla, California, took a random sample of adult mice and divided them into two groups. Both groups were trained to find a platform in a maze filled with cloudy water. (Mice hate swimming, so they seek the platform as the refuge.) The first group of mice exercised on a running wheel, about 5 kilometers per day. The second group remained inactive. After one month, the mice were placed in the maze and timed until each reached the platform. The sample statistics are given below. Active group: n1 = 15, ē1 = 17.6, s1 = 3.0 %3D Inactive group: ng = 12, F2 = 27.1, s2 = 6.3 %3D Conduct a hypothesis test to determine if exercise improves memory in adult mice; in other words, test if the active group is, on average, faster than the inactive group.
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