Questions:
1. use the information below to answer the question.
The following table provides data on a sample of customers who visited a local restaurant. The restaurant owner believes that the average profit per customer exceeds $25.
36.73
35.50
25.92
38.36
41.65
25.50
18.78
19.78
33.14
22.22
20.85
26.23
22.13
32.33
28.46
34.15
34.72
24.21
24.20
28.95
21.84
19.74
20.75
Which of the following is the correct conclusion?
The null hypothesis that the average profit per customer exceeds $25 cannot be rejected.
The null hypothesis that the average profit per customer does not exceed $25 is rejected.
The null hypothesis that the average profit per customer does not exceed $25 cannot be rejected.
The null hypothesis that the average profit per customer exceeds $25 is rejected.
Question 2.2.
Use the information below to answer the question.
The following table provides data on a sample of customers who visited a local restaurant. The restaurant owner believes that the average profit per customer exceeds $25.
36.73
35.50
25.92
38.36
41.65
25.50
18.78
19.78
33.14
22.22
20.85
26.23
22.13
32.33
28.46
34.15
34.72
24.21
24.20
28.95
21.84
19.74
20.75
Formulate the null and the alternative hypotheses to determine if the data supports the restaurant owner's claim.
H0: The average profit per customer = $25
H1: The average profit per customer ? $25
H0: The average profit per customer = $25
H1: The average profit per customer > $25
H0: The average profit per customer = $25
H1: The average profit per customer < $25
H0: The average profit per customer > $25
H1: The average profit per customer = $25
Question 3.3. Which of the following is not an appropriate alternative hypothesis for the null hypothesis, H0: mean production cost = $2.00?
H1: mean production cost > $2.00
H1: mean production costs < $2.00
H1: mean production costs = $2.00
H1: mean production costs ? $2.00
Question 4.4. The alternative hypothesis ________.
describes an existing theory or belief that is accepted as correct in the absence of contradictory data.
is based on new information provided by population data.
is based on new information provided by sample data.
is not deemed to be an important part of inferential statistics.
Question 5.5. A helpful analogy of hypothesis testing might be the concept of ________.
the U.S. legal system-innocent until proven guilty
better safe than sorry.
the theory of relativity
the central limit theorem
Question 6.6. If the null hypothesis is false, it is more likely that the test statistic will ________.
fall into the nonrejection region
not follow the uniform distribution
fall into the rejection region
not follow the normal distribution
Question 7.7.
Use the below information to answer the question.
A company wishes to test whether the proportion of female managers is the same as the proportion of male managers. The following table provides data for a sample of employees.
Number of managers Sample size
Females 18 45
Males 23 75
Compute the 99% confidence interval estimate of the difference between the two proportions. [Hint: Use PHStat]
(0.139, -0.326)
(0.084, -0.270)
(-0.084, 0.270)
(-0.139, 0.326)
Question 8.8.
Use the below information to answer the question.
A company wishes to test whether the proportion of female managers is the same as the proportion of male managers. The following table provides data for a sample of employees.
Number of managers Sample size
Females 18 45
Males 23 75
Which of the following is the conclusion?
We reject H0 that the proportion of female managers is the same as the proportion of male managers.
We should not reject H0 that the proportion of female managers is not the same as the proportion of male managers.
We reject H0 that the proportion of female managers is not the same as the proportion of male managers.
We should not reject H0 that the proportion of female managers is the same as the proportion of male managers.
Question 9.9. The decision to reject or fail to reject a null hypothesis is based on computing a ________ from sample data.
population parameter
critical value
level of significance
test statistic
10. When conducting two-sample tests for means with independent samples, ________.
it is always assumed that the population variances are equal
the test for equality of variances is conducted, and if the variances are not equal the t-test in Excel should not be used
the test for equality of variances is conducted to determine if the variances are equal and thereby choose the appropriate t-test in Excel
it is always assumed that the population variances are unequal
Question 11.11. In statistical terminology, educational level is an example of a ________.
continuous variable
residual
factor
dependent variable
Question 12.12. The power of the test has a value of ________.
1 - a
1 + ß
1 - ß
a - ß
Question 13.13. In most practical applications, the population standard deviation will not be known but it is estimated from the ________.
population
sample
test statistic
t-distribution
Question 14.14. A one-tailed test is employed when the null hypothesis ________.
is structured as "≠"
specifies a direction of relationship
is structured as "="
falls in the upper tail of the distribution
Question 15.15. The t-Test Statistic has a t distribution with ________ degrees of freedom.
n
n + 1
n - 2
n - 1
Question 16.16. The power of the test represents the ________.
probability of correctly failing to reject the null hypothesis when it is indeed true
probability of incorrectly rejecting the null hypothesis when it is actually true
probability of incorrectly failing to reject the null hypothesis when it is actually false
probability of correctly rejecting the null hypothesis when it is indeed false
Question 17.17.
Use the information below to answer the question.
The following table provides data on a sample of customers who visited a local restaurant. The restaurant owner believes that the average profit per customer exceeds $25.
36.73
35.50
25.92
38.36
41.65
25.50
18.78
19.78
33.14
22.22
20.85
26.23
22.13
32.33
28.46
34.15
34.72
24.21
24.20
28.95
21.84
19.74
20.75
Which of the following is the test statistic?
1.717
-1.867
1.867
-1.826
Question 18.18. To determine if there was a statistically significant difference in the means of two independent groups, which statistical tool would one be most likely to employ to assess the significance of any observed difference?
paired samples t-test
chi-square test for independence
Levene's test for homogeneity of variances
independent samples t-test
Question 19.19. The alternative hypothesis is denoted by ________.
HN
H0
H1
HAl
Question 20.20.
Use the below information to answer the following question.
A company wishes to test whether the proportion of female managers is the same as the proportion of male managers. The following table provides data for a sample of employees.
Number of managers Sample size
Females 18 45
Males 23 75
Formulate the null and the alternative hypotheses to determine if the proportion of female managers is the same as the proportion of male managers.
H0: pfemales - pmales ≠ 0
H1: pfemales - pmales = 0
H0: pfemales - pmales = 0
H1: pfemales - pmales > 0
H0: pfemales - pmales = 0
H1: pfemales - pmales ≠ 0
H0: pfemales - pmales = 0
H1: pfemales - pmales < 0