8.4.17 Question Help For the following claim, find the null and alternative hypo

Question

8.4.17 Question Help For the following claim, find the null and alternative hypotheses, test statistic, critical value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population Answer parts a-d. Claim: The mean IQ score of statistics professors is less than 119. Sample data: n 14, x 5, s 9. The significance level is 0.05. E click the icon to view a table of critical t-values a. Choose the correct n hypothesis (Ho) and alternative hypothesis (H. ull O A. Ho: 119 H 119 O B. Ho: 119 H1: 11 H-1 O C. HD: 119 H1: H 119 O D. Ho: H 119 H1: H 11

Explanation / Answer

a)

H0 : mu = 119
Ha : mu < 119

Test statistic:

t = ( x - mu ) /( s / sqrt(n))
= ( 115 - 119)/( 9 / sqrt(14))
= -1.6629

Critical value is calculated using df = 13 , alpha = 0.05
Critical value = -1.771

We fail to reject the null hypothesis

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