To test Ho: = 103 versus H 1 : 103 a simple random sample of size n: 35 s obtain

Question

To test Ho: = 103 versus H 1 : 103 a simple random sample of size n: 35 s obtained. Complete parts a through e below. Click here to view the t-Distribution Area in Right Tal. (a) Does the population have to be normally distributed to test this hypothesis? Why? OA. No, because the test is two-tailed. B. Yes, because the sample is random. C. No, because n 2 30 OD. Yes, because n as0 (b) If x-100.0 and s = 5.8, compute the test statistic. The test statistic ist- (Round to two decimal places as needed.) (c) Draw a t-distribution with the area that represents the P-value shaded. Choose the correct graph below. OA. OB.

Explanation / Answer

a) option C is correct

b)std error =std deviation/(n)1/2 =5.8/(35)1/2 =0.9804

therefore test statistic to =(X-mean)/std error =(100-103)/0.9804 =-3.06

c)

option A is correct

d)

option A is correct 0.002<p value<0.005

interpretation: option A is correct.

e)

Yes ; reject the null hypothesis

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