Question

For each exercise, perform these steps. Assume that all variables are normally or approximately normally distributed....

For each exercise, perform these steps. Assume that all variables are normally or approximately normally distributed.

a.State the hypotheses and identify the claim.

b.Find the critical value(s) or use the P-value method.

c.Compute the test value.

d.Make the decision.

e.Summarize the results.

Use the traditional method of hypothesis testing unless the P-value method is specified by your instructor.

5.Teachers’ Salaries A random sample of 15 teachers from Rhode Island has an average salary of $35,270, with a standard deviation of $3256. A random sample of 30 teachers from New York has an average salary of $29,512, with a standard deviation of $1432. Is there a significant difference in teachers’ salaries between the two states? Use α = 0.02. Find the 98% confidence interval for the difference of the two means. Use P Value Method. Please show your work/do by hand

Answer:  5.H0: μ1 = μ2 and H1: μ1 ≠ μ2 (claim); C.V. = ±2.624; d.f. = 14; t = 6.540; reject. Yes, there is enough evidence to support the claim that there is a difference in the teachers’ salaries. $3447.80 < μ1 – μ2 < $8068.20 P < 0.0001

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