Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Homework: In-Class - Section 9.3 Save Score: 0 of 1 pt 30f 3 (2 complete) HW Sco

ID: 3321882 • Letter: H

Question

Homework: In-Class - Section 9.3 Save Score: 0 of 1 pt 30f 3 (2 complete) HW Score: 16.67%, 0.5 of 3 pts 9.3.63-T Question Help According to a news organization, the average starting salary for graduates in a particular majar was $46,486. A prafessianal organization planned to test this claim by sampling 100 recent graduates in this major. Compiete parts a and b a. State the appropriate nul and atematve hypotheses. Choose the correct answer below CA Ho: s$46,486 Ha: >$46,486 Ho: 2548 .486 Ha: 546,486 B. Ho: .$46,486 HA: #546,486 Ho: > S46486 HA: = $46,486 c. D. b. Compute the power of the hypothesis test to reject the nul hypothesis if the true average starting salary is only $46,000. Assume that the population standard deviation is known to be $4,500 and the test is to be conducted using an alpha level equal to 0.05. The power of this hypothesis test is (Round to four decimal places as needed.)

Explanation / Answer

mu0 (hypothesised mean) 46488 sigma 4500 n 100 alpha 0.05 sample/true mean 46000 Std. Error. SE = sigma/sqrt(n) 450.0000 Zcritical -1.960 Xcritical values 45606.02 47369.98 Beta or type II error is the probability of fail to reject the null hypothesis P(X47369.98|mu=46000) 0.00117 Hence type II error probability is 0.1918 Power of the test 0.8082