Question

The college claims that the mean grade point average is 2.79 and we think it's much higher. We sampled 73 students and found a mean gpa of 3.05 with st. dev. = 0.87. With an alpha of 0.05 choose the correct phrase Getting a sample like ours or bigger will happen about 0.6% of the time O Getting a sample like ours or bigger will happen 0.0255% of the time Getting a sample like ours or bigger will happen about 0.006% of the time Getting a sample like ours or bigger will happen almost always

Answer 1

H : 4 = 2.79 H: ” > 2.79 Level of significance, a = 0.05 Calculate test statistic: By using the mega stat software to determine the test statistic and p-value with the help following procedure: 1. Enter the data in excel sheet. 2. Click on add ins in the Excel tool bar 3. Choose hypothesis tests → mean vs hypothesized value from the mega stat menu. 4. In hypothesized dialog box, enter the summarized input, enter the range of summary of statistics and hypothesized mean as 2.79 and Alternative as greater than. 5. Select t test. 6. Click ok. To get the required output is given below:

Hypothesis Test: Mean vs. Hypothesized Value 2.7900 hypothesized value 3.0500 mean Gpa 0.8700 std. dev. 0.1018 std. error 73 n 72 df 2.55 t .0064 p-value (one-tailed, upper) Thus, the test statistic is 2.55 The p-value is 0.0064 The p-value is percentage is 0.6% The correct answer is Getting a sample like ours or bigger will happen about 0.6% of the time