1. Walden University claims that its faculty members spend 11.0 hours in the classroom teaching per...

1. Walden University claims that its faculty members spend 11.0 hours in the classroom teaching per week on
average. You work for a student newspaper and are asked to test this claim at the 0.10 level of significance.
Assume that average classroom teaching time per week has a fairly Normal distribution. A sample of classroom
hours for randomly selected faculty members is:
11.8 8.6 12.6 7.9 6.4 10.4 13.6 9.1
a. What are the null and alternative hypotheses?
b. Find an appropriate test statistic and associated p-value.
c. Based on your sample data, would you reject H0? Explain.
d. What does this mean in terms of the problem?

Please use the Ti-83/84 to solve

Solutions

Expert Solution

Question 1

Here hypothesis are

H₀ : Time spend by faculty members in the classroom teaching per week is 11.0 per week. = 11 per week

H_a : Time spend by faculty members in the classroom teaching per week is not 11.0 per week. 11 per week

Here first we will find sample mean and sample standard deviation by using calculator.

sample mean = = 10.05

sample standard deviation = s = 2.4854 [by using Var Stats function]

(b) Here the appropriate test statistic is t test statistic as population standard deviation is not given.

standard error of sample mean = s/sqrt(n) = 2.4854/sqrt(8) = 0.8787

Test statistic

t = (10.05 - 11)/0.8787 = -1.081

P -value = TDIST(-1.08, dF = 8, two tailed) = 0.3155

Degree of freedom = dF = n-1 = 8 - 1= 7

t_critical will be calculated by these steps.

Do these steps on a TI-84, then you can get the critical value t.

Press “2ND”
Press “VARS”
Press down arrow to choose “invT(”
Press “ENTER”
Input area (which means the confidence level)
Input df (which means the degree of freedom)
Press “ENTER” “ENTER”

we get t(critical) = 2.306

so here as t < t(critical) so we would fail reject the null hypothesis.

(d) Here we conclude that Time spend by faculty members in the classroom teaching per week is 11.0 per week.

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milcah answered 1 year ago

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