To test H_0: mu = 103 versus H_1: mu notequalto 103 a simple random sample of si

Question

To test H_0: mu = 103 versus H_1: mu notequalto 103 a simple random sample of size n = 35 is obtained Complete parts a througn e below Click here to view the t-Distribution Area in Right Tail. (a) Does the population have to be normally distnbuted to test this hypothesis? Why? A. No, because n Greaterthanequalto 30. B. No, because the test is two-tailed. C. Yes, because the sample is random. D. Yes, because n greaterthanorequalto 30. (b) If x =99.8 and s = 5.9. compute the test statistic. The test statistic is t_o = (c) Draw a t-distribution with the area that represents the P-value shaded. Choose the correct graph below. (d) Approximate the P-value Choose the correct answer below.

Explanation / Answer

(a)Yes, the population has to be normally distributed to test the hypothesis. Here the sample size is n>=30.

(b)The standard error of mean is:

s/root over n=5.9/root over 35=0.99

The test statistic is:

T0=(x bar-mu)/SE

=(99.8-103)/0.99

=-3.23

(c)The approximate P value is:

B)0.005<P<0.01

(e)Since the P value is less than alpha=0.01, the researcher will reject the null hypothesis.

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