For the following claim, find the null and alternative hypotheses, statistic, va

Question

For the following claim, find the null and alternative hypotheses, statistic, value, and draw a conclusion Assume simple random sample has been selected from a normally distributed population. Answer parts a-d. that a claim: The mean IQ score of statistics professors is less than 132. Sample data: n 17, x 129, s 4. The significance level is o 0.05. click the icon to view a table of critical t-values a. Choose the correct null hypothesis (Ho) and alternative hypothesis (H1) O A. Ho: H 132 H1: 132 O B. Ho: 132 H1: 132 O C. Ho: H 132 H1: H-132 O D. Ho: H 132 H1: H 132 b. Determine the test statistic t t. (Round to three decimal places as needed.) c. Find the critical value using a t-distribution table. The critical value is Round to three decimal places as neede

Explanation / Answer

a)

b: H0: mew<132 against H1: mew > 132

b)

To determine the test statistics t: Both tailed t statistic

Given: n=17, xbar= 129, s=4 and hence we calculate the value of t by t = [ xbar - ] / [ s / sqrt( n ) ]

Putting the given values we obtain the value of t under the null hypothesis.

c and d)

For a two-sided test, find the column corresponding to 1-/2 and reject the null hypothesis if the absolute value of the test statistic is greater than the value of t1-/2, , Thus we find the critical value of t and

Hence we rightly say that option d is correct.

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