Question

Provide an appropriate response. Test the claim about the population mean u at the level of significance a. Assume the population is normally distributed. Claim: u = 35; a = 0.05; o = 2.7 Sample statistics: x = 34.1, n = 35 Not enough information to decide. Reject Ho. There is enough evidence at the 5% level of significance to support the claim. Fail to reject Ho. There is not enough evidence at the 5% level of significance to support the claim. QUESTIO 8 points Save Answer Provide an appropriate response. Test the claim about the population mean u at the level of significance a. Assume the population is normally distributed. Claim: u = 1400; a = 0.01; 0 = 82 Sample statistics: x = 1370, n = 35 Fail to reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. Reject Ho. There is enough evidence at the 1% level of significance to reject the claim. Not enough information to decide.

Answer 1

A )

(1) Hypothesis :
Η :μ = 35
Vs
H, :με 35

Here , the population standard deviation $\sigma$ is known and sample size is greater than 30

Therefore , use Z-test

(2) The test statistic is ,

Zstat = 40 + N(0,1)

34.1-35 = -1.97 27節

(3) Critical value :

Za/2 = 20.05/2 = +1.96

Acceptance Region -1.96 9=0 w Rejection Roger Region Rejection Region

(4) Rejection rule : If , then reject Ho , accept otherwise

ZSTAT > Za/2

Decision : Here ,

ZSTAT = 1.97 > Z2/2 = 1.96

Therefore , reject Ho

(5) Conclusion : Hence , at the 5% level of significance there is enough evidence to support the claim.

B )

(1) Hypothesis :
Ho :μ = 1400
Vs
H, :μ± 1400

Here , the population standard deviation $\sigma$ is known and sample size is greater than 30

Therefore , use Z-test

(2) The test statistic is ,

Zstat = 40 + N(0,1)

1370 – 1400 82/35 -= -2.16

(3) Critical value :

Za/2 = 20.01/2 = +2.58

Reject Ho A at Ho à Reject Ho y roul to 11 -Za 2-0 2

(4) Rejection rule : If , then reject Ho , accept otherwise

ZSTAT > Za/2

Decision : Here ,

ZSTAT = 2.16 < Za/2 = 2.58

Therefore , fail to reject Ho

(5) Conclusion : Hence , there is not enough evidence at the 1% level of significance to reject the claim.