A random sample of 86 eighth\' grade students scores on a national mathematics a

Question

A random sample of 86 eighth' grade students scores on a national mathematics assessment test has a mean score of 268. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this test is more than 260. Assume that the population standard deviation is 30. At =0.13, is there enough evidence to support the administrator's claim? complete parts (a) through (d)

a. Write the claim mathematically and identify H0 and Ha

b. Find the standardized test statistic z, and its corresponding area.

c. Find the p-value

d. Decide whether to reject or fail the null hypothesis.

Explanation / Answer

a)

Ho: u >260

Ha: u<=260

b)

test static Z = 268 - 260/30/sqrt(86)

= 2.473

critical value z = -1.126

rejection region is z < -1.126

c)

p-value = p(Z < 2.473) = 0.9933

d)

since test static is not in rejection region , we donot have enough evidence to reject null hypothesis

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.