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Question 17 A psychologist has prepared an \"Optimum Test\" that is administered

ID: 3275257 • Letter: Q

Question

Question 17 A psychologist has prepared an "Optimum Test" that is administered yearly to graduating college seniors. The test measures how each graduating class feels about its future- the higher the score, the more optimistic the class. The mean for this test is 6. The data for a sample of students are presented below: 7 12 11 15 7 8 15 9 6 If the researcher suspects that her class will have higher level of optimism than the population, answer the questions below using the .05 level of significance. 3. What is the critical value?

a)1.860

b)-1.860

c)3.50

d)-3.50

A psychologist has prepared an "Optimum Test" that is administered yearly to graduating college seniors. The test measures how each graduating class feels about its future- the higher the score, the more optimistic the class. The mean for this test is 6. The data for a sample of students are presented below: 7 12 11 15 7 8 15 9 6 If the researcher suspects that her class will have higher level of optimism than the population, answer the questions below using the .05 level of significance. 4. What decision should be made about the null hypothesis?

a. Fail to reject the null hypothesis

b. Reject the alternative hypothesis

c. There is insufficient evidence to indicate that the alternative hypothesis is true.

d. Reject the null hypothesis

A psychologist has prepared an "Optimum Test" that is administered yearly to graduating college seniors. The test measures how each graduating class feels about its future- the higher the score, the more optimistic the class. The mean for this test is 6. The data for a sample of students are presented below: 7 12 11 15 7 8 15 9 6 If the researcher suspects that her class will have higher level of optimism than the population, answer the questions below using the .05 level of significance. 5. What statistical evidence can you provide for your decision?

a. because p<

b. because |t| < |t*|

c. reject null because |t| > |t*|

d. |t|>|t*|

A psychologist has prepared an "Optimum Test" that is administered yearly to graduating college seniors. The test measures how each graduating class feels about its future- the higher the score, the more optimistic the class. The mean for this test is 6. The data for a sample of students are presented below: 7 12 11 15 7 8 15 9 6 If the researcher suspects that her class will have higher level of optimism than the population, answer the questions below using the .05 level of significance. 6. What final conclusion can be made within the context of this example?

a. There is insufficient evidence to indicate that the class has higher optimism than the population.

b. Because we rejected the null, we can conclude that there is sufficient evidence to indicate that the class has a higher level of optimism than the population.

c. There is sufficient evidence to indicate that the class has lower optimism than the population.

d. There is sufficient evidence to indicate that the class has higher optimism than the population.

Explanation / Answer

The statistical software output for this problem is:

One sample T hypothesis test:
: Mean of variable
H0 : = 6
HA : > 6

Hypothesis test results:

Hence,

Answer - 17: Critical value = 1.860

Option A is correct.

Answer - 18: Reject the null hypothesis

Option D is correct.

Answer - 19: reject null because |t| > |t*|

Option C is correct.

Answer - 20 There is sufficient evidence to indicate that the class has higher optimism than the population.

Option D is correct.

Variable Sample Mean Std. Err. DF T-Stat P-value var1 10 1.1426091 8 3.5007598 0.004
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