Question

Dr. Hanh hypothesizes that her statistics course will have an impact on student life satisfaction. To...

Dr. Hanh hypothesizes that her statistics course will have an impact on student life satisfaction. To test this hypothesis, she collects life satisfaction ratings for all students in the course at the start of the semester and again at the end of the semester. Below are the data. What can Dr. Hanh conclude with an an α of 0.05?

start end
82
75
81
91
87
84
91
84
93
90
87
79


a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test Related-Samples t-test

b)
Condition 1:
---Select--- life satisfaction the semester statistics course semester start semester end
Condition 2:
---Select--- life satisfaction the semester statistics course semester start semester end

c) Compute the appropriate test statistic(s) to make a decision about H0.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below.
[  ,  ]

e) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
d =  ;   ---Select--- na trivial effect small effect medium effect large effect
r2 =  ;   ---Select--- na trivial effect small effect medium effect large effect

f) Make an interpretation based on the results.

Student life satisfaction is significantly lower at the completion of the statistics course

.Student life satisfaction is significantly higher at the completion of the statistics course.     

Student life satisfaction is not significantly higher at the completion of the statistics course.

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Answer #1

We are allowed to do only 4 subparts of a question at a time.

(1) Null and Alternative Hypotheses The following null and alternative hypotheses need to be tested This corresponds to a two-tailed test, for which a t-test for two paired samples be used (2) Rejection Region Based on the information provided, the significance level is 0.05, and the degrees of freedom are df 5 Hence, it is found that the critical value for this two-tailed test is tc-2.571, for α 0.05 and df 5 The rejection region for this two-tailed test is R-{t : |t| > 2.571} The t-statistic is computed as shown in the following formula 一一1.426 SDI.f. 687 | Љ Since it is observed that1.426t 2.571, it is then concluded that the null hypothesis is not rejected Using the P-value approach: The p-value is p 0.2132, and since p 0.213220.05, it is concluded that the null hypothesis is not rejected (5) Conclusion It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that the population mean μ| is different than μ2, at the 0.05 significance level The 95% confidence interval is -11.21 < D < 3.21

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