Question

Suppose you want to test whether the average number of students who show up for face to face classes at SVSU is less than 10. You collect the following data:

students
9
10
9
12
10
6
8
14
12
17
8
13
6
6
10
11
8
5
9
4
9
11
12
12
15
7
11
12
7
10
8
8
8
18
6
9
8
10
11
9
6
5
9
6
9
7
3
9
11
12
6
12
3
8
11
12
11
9
10
10
6

What is your t-statistic?  

Let's say you decide on α=.05. What is your t-critical value?

What do you conclude based on the previous two answers?

a.Do not reject the null. There is sufficient evidence the number of students is less than 10.

b.Reject the null. There is sufficient evidence that the number of students is greater than or equal to 10.

c.Reject the null. There is sufficient evidence the number of students is less than 10.

d.Do not reject the null. There is insufficient evidence the number of students is less than 10.

Answer 1

t-statistics = -1.99342 (calculation and f(x) used are given in excel image)

t-critical value = 1.993423 (df = 60)

The correct answer would be (a). Explanation: as the the t-critical value is signifacantly high and its justifies the hypothesis.

(b), (c), (d) are all incorrect options. explanation: as the t-critical value is signficantly high and its justifies the hypothesis.