Question

In: Statistics and Probability

A hunter claims that the average deer is more than 200 pounds. To test his claim,...

A hunter claims that the average deer is more than 200 pounds. To test his claim, a random sample of 20 deer were weighed. The data are listed here. Do these data allow us to infer at the 5% significance level that the hunter’s claim is true? 160 230 180 410 220 180 230 190 220 150 180 350 160 150 170 190 230 150 160 260

Expert Solution

A hunter claims that the average deer is more than 200 pounds.

The null and alternative hypotheses are,

H0 : μ = 200 pounds

Ha : μ > 200 pounds

sample size (n) = 20

Using Excel we get, sample mean = 208.5 and

sample standard deviation (s) = 67.6115

Test statistic is,

=> Test statistic = t = 0.562

Degrees of freedom = 20 - 1 = 19

t-critical value at significance level of 0.05 with 19 degrees of freedom is, tcrit = 1.729

Since, test statistic = 0.562 < 1.729, we fail to reject the null hypothesis.

Conclusion : There is not sufficient evidence to support the claim that the average deer is more than 200 pounds.

orchestra answered 2 years ago

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