For the following claim, find the null and alternative hypothesis, test statisti
ID: 3127282 • Letter: F
Question
For the following claim, find the null and alternative hypothesis, test statistic, critic value, and draw a conclusion. Assume that a simple random sample has been selected from a normally distributed population. Answer parts Claim: The mean IQ score of statistics professors is greater than 121. Sample data: n = 23, x = 126, s = 10. The significance level is a = 0.05. Determine the test statistic t. t = 2.398 (Round to three decimal places as needed.) Find the critical value using as t-distribution table. The critical value is 1.717 (Round to three decimal places as needed.) What is the conclusion? Reject the null hypothesis and support the claim that mu greaterthan 121. Fail to reject the null hypothesis and do not support the claim that mu greaterthan 121. Reject the null hypothesis and do not support the claim that mu greaterthan 121. Fail to reject the null hypothesis and support the claim that mu greaterthan 121.Explanation / Answer
Set Up Hypothesis
Null, H0: U=121
Alternate, H1: U>121
Test Statistic
Population Mean(U)=121
Sample X(Mean)=126
Standard Deviation(S.D)=10
Number (n)=23
we use Test Statistic (t) = x-U/(s.d/Sqrt(n))
to =126-121/(10/Sqrt(23))
to =2.398
| to | =2.398
Critical Value
The Value of |t | with n-1 = 22 d.f is 1.717
We got |to| =2.398 & | t | =1.717
Make Decision
Hence Value of | to | > | t | and Here we Reject Ho
P-Value :Right Tail - Ha : ( P > 2.3979 ) = 0.0127
Hence Value of P0.05 > 0.0127,Here we Reject Ho
[ANSWERS]
to =2.398,
1.717,
Reject the null hypothesis, and support the cliam that U>121