To test Ho ?? 100 versus H1 100, a random sample of size n-22 is obtained from a

Question

To test Ho ?? 100 versus H1 100, a random sample of size n-22 is obtained from a population that is known to be normally distributed. Complete parts a) through c) below. ?Click here to view the t-Distribution Area in Right Tail table. (a) If x-107.9 and s = 10.9, compute the test statistic. to (Round to three decimal places as needed.) (b) Suppose a researcher wants to test this hypothesis at a level of significance of ?= 0.10. Approximate the P-value using the t-distribution table O A. 040 s P-values 0.50 O B. 0.01 s P-value s0.02 OC. 0.002 P-values 0.005 O D. 0.20s P-value s0.30 (c) Will the researcher reject the null hypothesis at the ?-0.10 level of significance? O A O B. O C. 0 D. No, the researcher will not reject the null hypothesis because the p value is greater an e leve ofsg cance. No, the researcher will not reject the null hypothesis because the p-value is less than the level of significance Yes, the researcher will reject the null hypothesis because the p-value is greater than the level of significance Yes, the researcher will reject the null hypothesis because the p-value is less than the level of significance

Explanation / Answer

a)

here test statitic to=(X-mean)*sqrt(n)/std deviation=(107.9-100)*sqrt(22)/10.9=3.399

b)

for abvoe test statistic and (n-1=21) df; range of p values:

option C is correct : 0.002 < p value < 0.005

c)

option D is correct

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