What is(are) the critical t test value(s) for a right tailed test

Question 1 

What is(are) the critical t test value(s) for a right tailed test where alpha is equal to .05 and the sample size (n) is equal to 23

a. -1.717
b. 1.717
c. -2.101
d. -2.101 and 2.101
e. None of the above


Question 2 

What is(are) the critical t test value(s) for a left tailed test where alpha is equal to .025 and the sample size (n) is equal to 19

a. -1.717
b. 1.717
c. -2.101
d. -2.101 and 2.101
e. None of the above

Question 3 

What is(are) the critical t test value(s) for a two tailed test where alpha is equal to .01 and the sample size (n) is equal to 27

a. -1.717
b. 1.717
c. -2.101
d. -2.101 and 2.101
e. -2.779 and 2.779

Question 4 

True or false: We reject Ho if the P value is greater than or equal to alpha

a. True
b. False

Question 5 

Hypothesis Tests are defined as 

a. A process that uses sample statistics to test claim about the value of a population parameter
b. A process that involves calculating probabilities of normal distributions
c. A process that involves determining the upper and lower value confidence intervals associated with the distribution
d. All of the above
e. None of the above

.
Question 6 

Which of the following statements is true about hypothesis testing

a. Hypothesis testing is always a one sided test
b. It is a process by which a decision is made between two opposing hypothesis; the null (Ho) and alternate (Ha)
c. A process where you always accept the null hypothesis (Ho)
d. All of the above
e. None of the above

Question 7 

Which of the following statements is true about hypothesis testing

a. Hypothesis testing is always a two sided
b. It is a process by which a decision is made by calculating probability of the binomial distribution
c. A process where the “burden of proof” is traditionally on the alternate hypothesis. As such, it is up to the analyst to provide evidence in support of the alternate hypothesis
d. All of the above
e. None of the above

Question 8 

Match the definition with the appropriate term

– A. B. C. D. E. 
Alpha
A 
– A. B. C. D. E. 
Z Test statistic
D 
– A. B. C. D. E. 
Standard Error
C 
– A. B. C. D. E. 
Degrees of Freedom
E 
– A. B. C. D. E. 
Ho
B 

Answer 
A. Level of Significance 
B. The null hypothesis
C. standard deviation divided by the square root of n (sample size)
D. (X(bar) – Mean) divided by the standard error
E. n (sample size) minus 1

Question 9 

What is the p value for a one tailed test with a Z value = -1.56

a. -1.56
b. .0455
c. .0594
d. .9406
e. 0

Question 10 

Match the definition with the appropriate term

– A. B. C. D. E. 
Burden of proof on the alternate hypothesis
A 
– A. B. C. D. E. 
Type 1 Error
C 
– A. B. C. D. E. 
D
Read Answer Items for Question 10 
– A. B. C. D. E. 
Level of Significance
B 
– A. B. C. D. E. 
P – Value
E

Answer 
A. Analogous with our legal system “innocent until proven guilty”
B. Maximum allowable probability of making a type I error
C. The probability of rejecting Ho, given Ho is actually true
D. The probability of accepting Ho, given Ho is actually false 
E. The statistic that is compared with the parameter in the null hypothesis

Question 11 

Match the type of test that is associated with the stated claim

– A. B. C. 
Ho: U = 82%
A 
– A. B. C. 
Ho: U > 2.5
B 
– A. B. C. 
Ho: U <= 20
C 

Answer 
A. Two Tailed Test
B. One tailed, Right tailed test
C. One tailed, Left tailed test

Question 12 

State the Null and Alternate Hypothesis of the following claim: A university publicizes that the portion of its students who graduate in 4 years is equal to 82%

a. Ho: U <=82%, Ha: U > 82 %
b. Ho: U = 82%, Ha: U not equal to 82 %
c. Ho: U >= 82%, Ha: U < 82%
d. Ho: U = 4, Ha: U is not equal to 4
e. Ho: U <= 4, Ha: U > 4

Question 13 

State the Null and Alternate Hypothesis of the following claim: A water faucet manufacturer announces that the mean flow rate of a certain type of faucet is less than 2.5 gallons per minute

a. Ho: U <= 2.5, Ha: U > 2.5
b. Ho: U = 2.5, Ha: U not equal to 2.5
c. Ho: U >= 2.5, Ha: U < 2.5
d. Ho: U = 4, Ha: U is not equal to 4
e. Ho: U <= 4, Ha: U > 4

Question 14 

State the Null and Alternate Hypothesis of the following claim: A ceral company advertises that the mean weight of the contents of its 20-ounce size cereal boxes is more than 20 ounces

a. Ho: U <= 20, Ha: U > 20
b. Ho: U = 20, Ha: U not equal to 20
c. Ho: U >= 20, Ha: U < 20
d. Ho: U = 4, Ha: U is not equal to 4
e. Ho: U <= 4, Ha: U > 4

Question 15 

Which of the following is true regarding P values

a. For a left tailed test, P is equal to the area in the left tail of the normal distribution curve
b. For a right tailed test, P is equal to the area in the right tail of the normal distribution curve
c. For a two tailed test, P is equal to the sum of the area in the right tail plus the area in the left tail or P is equal to 2 times area in the tail of the test statistic
d. All of the above
e. None of the above


Question 16 

Which of the following statements is true regarding the T Test for a mean:

a. The t test for a mean is a statistical test for a population mean. The t-test can be used when the population is normal, the population standard deviation is unknown and the sample size is less than 30
b. The t test for a mean is a statistical test for a population mean. The t-test can be used when the population is normal, the population standard deviation is known and the sample size is at least 30
c. The t test a statistical test for the variance or standard deviation. The t-test can be used when the population is normal, the population standard deviation is known and the sample size is at least 30
d. All of the above
e. None of the above

Question 17 

An environmentalist estimates that the mean waste recycled by adults in the United States is more than 1 pound per person per day. You want to test this claim with the burden of proof placed on the alternate hypothesis. You find that the mean waste recycled per person per day for a random sample of 12 adults in the US is 1.46 pounds with a standard deviation of 0.28 pounds. What is the result of this claim at an alpha level of .05. (remember Ho is u <= 1lb)

a. Accept Ho since t calculated (-5.691) is less than critical t (1.796)
b. Accept Ho since t caculated (5.691) is greater than critical t (-1.796)
c. Reject Ho since t calculated (5.691) is greater than critical t (1.796)
d. Reject Ho since t calculated (5.691) is greater than critical t (2.201)

Question 18 

An employment information service claims the mean annual pay for full time female workers over age 25 and without a high school diploma is $19,100. The annual pay for a random sample of 12 full time female workers without a high school diploma provided a mean of $18,886 and a standard deviation of $1,397. Test the claim at an alpha of .05 level that the pay for female workers without a highschool diploma is equivalent to $19,100 per year

a. Accept the claim because t calculated of -0.531 is between critical t values of -2.201 and 2.201
b. Reject the claim because t caculated of -0.531 is greater than the critical t value of -2.201
c. Accept the claim because t calculated of -0.531 is less than a caculated t value of 1.796
d. Accept the claim because t calculated of -0.531 is between critical t values of -1.769 and 1.769 
e. None of the above is true

Question 19 

The dean of a University estimates that the mean number of classroom hours per week for full time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample for a number of classroom hours for eight full time faculty for one week provided a mean of 10.05 hours and a standard deviation of 2.485 hours. Test the claim that the number of faculty classroom hours per week is equal to 11 at an alpha level of .01. Choose the best possible answer

a. Accept the claim since t calculated of -1.081 is between the critical t values of -1.895 and 1.895
b. Accept the claim since t calculated of -1.081 is between the critical t values of -3.499 and 3.499
c. Reject the claim since t calculated of -1.081 is less the critical t values of -0.896 
d. Reject the claim since t calculated of -1.081 does not fall between the critical t values 
e. None of the above

Question 20 

A microwave oven repairer says that the mean repair cost for damaged microwave ovens is less than $100. You work for the repairer and want to test the claim. You find that a random sample of 5 microwave ovens has a mean repair cost of $75 and a standard deviation of $12.50. You want to test the claim at a alpha level of .01. Choose the result that provides the result of this claim 

a. Accept Ho (the claim that repair cost is less than or equal to $100), since t calculated of 4.472 is greater than critical t of 3.747 
b. Reject Ho (the claim that repair cost is less than or equal to $100) since t calculated of -4.472 is less than a critical t value of -3.747 
c. Accept Ho (the claim that repair cost is less than or equal to $100) since t calculated of -4.472 is less than a critical t value of 3.747 
d. Reject Ho (the claim that repair cost is less than or equal to $100) since t calculated of 2.132 is less than a critical t of 3.747 

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