Question

It is believed that the average credit hours of students is more than 13 hours. Using a 0.10 level of significance, should the findings of the Class Survey support the belief that the average credit hours is more than 13 hours. The population standard deviation is not known. Data set(credit hours):

Credit Hours
9
11
11
9
9
6
9
7
4
6
12
6
15
6
12
3
14
9
10
12
15
9
12
7
16
12
12
13
16
14
9
12
12
12
6
16
9
12
12
13
15
7
12
12
14
12
12
11
15
15

Sample mean:

Sample Standard Deviation:

State the null and alternative hypotheses.  

What is the population mean?

What is the sample mean?

What is the sample size? 50

What is the test statistic?

What is the p-value?

What is your decision based on the p-value (reject the null or fail to reject the null)?   

Write in a complete sentence whether the Class Survey supports the belief that the average credit hours

   is more than 13 hours.   

Answer 1

Sample mean = 10.880  
Sample std.dev = 3.2679  

Below are the null and alternative Hypothesis,
Null Hypothesis: μ = 13
Alternative Hypothesis: μ > 13

Population mean = 13

Test statistic,
t = (xbar - mu)/(s/sqrt(n))
t = (10.88 - 13)/(3.2679/sqrt(50))
t = -4.587

P-value = 1

As P-value >= 0.1, fail to reject null hypothesis.

No, the Class Survey supports the belief that the average credit hours

is more than 13 hours.