In: Math
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
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
Ha : 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
(c) Now we will find the critical value for 0.05 significance level.
Degree of freedom = dF = n-1 = 8 - 1= 7
tcritical will be calculated by these steps.
Do these steps on a TI-84, then you can get the critical value t.
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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