A research tea believes that the weight of Grizzly adule male bears are normally distributed. A simple random saple of 23 Grizzly male bears yielded a mean weight of 277kg and a variance of 121. Let μ denote the mean weight for Grizzly adult male bears. Suppose the research teams wants to test, at the 5 % level of significance, whether the mean weight for Grizzly adult male bears is greater than 271kg. Suppose the assumptions to this hypothesis test are satisifed. a) What are the null and alternative hypothesis, and level of significance, for this hypothesis test? b) What is the distribution of the test statistic for this hypothesis test? c)What is the decision rule for this hypthesis test?

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A research tea believes that the weight of Grizzly adule male bears are normally distributed. A simple random saple of 23 Grizzly male bears yielded a mean weight of 277kg and a variance of 121. Let μ denote the mean weight for Grizzly adult male bears. Suppose the research teams wants to test, at the 5 % level of significance, whether the mean weight for Grizzly adult male bears is greater than 271kg. Suppose the assumptions to this hypothesis test are satisifed.

a) What are the null and alternative hypothesis, and level of significance, for this hypothesis test?

b) What is the distribution of the test statistic for this hypothesis test?

c)What is the decision rule for this hypthesis test?

Expert Solution
Step 1

Given information

Hypothesized mean µ = 271 kg

Sample size (n) = 29

Mean  = 277

Sample variance (s2) = 121

Standard deviation (s) = 11

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