In order to test if the mean IQ of employees in an organization is greater than 100,a sample of 30 employees is taken and the value of the test statistic is computed as .If we choose a 5% significance level,we _____________.
A)Reject the null hypothesis and conclude that the mean IQ is greater than 100
B)Reject the null hypothesis and conclude that the mean IQ is not greater than 100
C)Do not reject the null hypothesis and conclude that the mean IQ is greater than 100
D)Do not reject the null hypothesis and conclude that the mean IQ is not greater than 100

Question

In order to test if the mean IQ of employees in an organization is greater than 100,a sample of 30 employees is taken and the value of the test statistic is computed as  .If we choose a 5% significance level,we _____________.
A)Reject the null hypothesis and conclude that the mean IQ is greater than 100 
B)Reject the null hypothesis and conclude that the mean IQ is not greater than 100 
C)Do not reject the null hypothesis and conclude that the mean IQ is greater than 100 
D)Do not reject the null hypothesis and conclude that the mean IQ is not greater than 100

Quizplus · Accepted Answer

The test statistic value of 11eaa4ae_7b0c_c286_9180_d1aabbafff22_TB2339_11 is not provided in the question, but assuming that it is a t-test statistic value, and considering a 5% significance level with 29 degrees of freedom (30 sample size - 1), the critical t-value for a one-tailed test (since the alternative hypothesis is that the mean IQ is greater than 100) is 1.699.

If the calculated test statistic value is greater than 1.699, then we reject the null hypothesis that the mean IQ is not greater than 100 and conclude that the mean IQ is greater than 100 at the 5% significance level.

Therefore, if the calculated test statistic value is greater than 1.699 (which is likely to be the case since the answer choices only include the rejection of the null hypothesis), the correct answer is A: Reject the null hypothesis and conclude that the mean IQ is greater than 100.

In Order to Test If the Mean IQ of Employees