State the hypotheses. (ii.) Test for equality of unknown population variances. (iii.) Calculate test statistic. (iv.) Calculate degrees of freedom. (v.)State critical value/values. (vi.) State your decision.
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: n = 15, x ̄ = 17.6, s = 3.0 111
Inactive group: n = 12, x ̄ = 27.1, s = 6.3 222
(a) At 1% significance level conduct a hypothesis test to determine if exercise im- proves memory in adult mice; in other words, test if the active group is, on average, faster than the inactive group.
(i.) State the hypotheses.
(ii.) Test for equality of unknown population variances.
(iii.) Calculate test statistic.
(iv.) Calculate degrees of freedom.
(v.)State critical value/values.
(vi.) State your decision.
(vii.) Write the interpretation.
(b) Calculate the p−value of the tes
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