Question

In: Statistics and Probability

The mean GPA at a certain university is 2.80. The table contains GPAs for a random...

  1. The mean GPA at a certain university is 2.80. The table contains GPAs for a random sample of 16 business students from this university.

2.27

3.05

2.57

3.36

3.10

3.03

3.19

3.08

2.60

2.92

2.77

3.55

2.63

2.79

2.70

2.92
    1. What is the sample mean for this dataset?
    1. What is the sample standard deviation for this dataset?
    1. How many degrees of freedom are there?
    1. Perform a hypothesis test for this dataset. What is your conclusion?

Solutions

Expert Solution

( a )

For the given data

sample mean = 2.908

( b )

sample standard deviation = 0.3233

( c )

degrees of freedom = 15

( d )

Assuming alpha = 0.05

Conclusion :

It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that the mean GPA at a certain university is 2.80. at the 0.05 significance level.

orchestra answered 1 year ago
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