Enrichment Exercise:1471526

Question 1

The known population mean is , the sample mean is , the sample standard deviation is  and the sample size is .

1. The null hypothesis expressed using symbol is;

• The null hypothesis expressed as a sentence.

The average SAT score of all students at Lipscomb University is equal to 900.

• The alternative hypothesis expressed using symbol is;

• The alternative hypothesis expressed in a sentence.

The average SAT score of all students at Lipscomb University is different from 900.

Question 2

The test statistic is given by;

Question 3

1. The critical value of t at 5% significance level and 34 degrees of freedom from the t-table is;

• The t-distribution showing the critical value of the t-statistic is shown below.

• Since  we fail to reject the null hypothesis.

Question 4

We have not rejected the null hypothesis. Therefore, there is no enough evidence that the average SAT score of all students in Lipscomb University is different from 900.

Question 5

The effect size is given by;

The effect size can be said to be a small effect size.

Question 6

A one sample t-test showed that that the difference between SAT scores of Lipscomb students (N=35, M = 915.93, SD = 173.79) and the hypothesized value (µ = 900) was not statistically significant, t (34), P>0.05.