4. Assume that the weights of salmon in the Columbia River are normally distribu

Question

4. Assume that the weights of salmon in the Columbia River are normally distributed. You randomly catch and weigh 20 salmon. The mean weight from your sample is ? = 25.2 pounds with a standard deviation of$ = 4.5 pounds. Test the claim that the mean weight of Columbia River salmon is greater than 23 pounds. Use a -0.10 significance level. (a) (1 point) What hypothesis test should you use for this problem? Circle your answer Mean-1 Sample Mean-2 Samples, Dependent Mean-2 Samples, Independent Proportion-2 Samples Proportion-1 Sample (b) (1 point) What calculator function will you use? (c) (2 points) Determine the null and alternative hypotheses: Ho Hi P-value: (d) (2 points) Perform the hypothesis test Conclusion (e) (2 points)If the significance level is a-0.05, is your condusion different? Why or why not?

Explanation / Answer

a)

mean 1 sample

c)

H0 : mu = 23
H1 : mu > 23

d)

t = ( x - mu)/(s/sqrt(n))
= ( 25.2 - 23)/(4.5/sqrt(20))
= 2.1864

p value = .0207

Reject the null hypothesis

e)

No, because p value is less than alpha

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