Researchers determined that 60
Researchers determined that 60 tissues is the mean number oftissues(μ) used during a cold. Suppose a random sample of 64Kleenex users (n) yielded the following data on the number oftissues used during a cold: sample Mean (X bar) = 57.5,S = 4. Suppose the alternative you wanted to test wasH1: μ ≠ 60. State the correct rejection regionfor α = 0.1.
Select one:
a. Reject H0 if t < -1.6694 ort >1.6694.
b. Reject H0 if t > 1.9983 ort < -1.9983.
c. Reject H0 if t < -1.6604.
d. Reject H0 if t > 1.6604.
A researcher is attempting to show statistically that the femaleMBA graduates have a significantly lower mean starting salary thanthe male MBA graduates. Which of the following is an appropriatealternative hypothesis?
Select one:
a. H1: μfemales >μmales
b. H0: μfemales <μmales
c. H0: μfemales =μmales
d. H1: μfemales <μmales
The marketing manager for an automobile manufacturer isinterested in determining the proportion of new compact-car ownerswho would have purchased a side curtain air bag if it had beenavailable for an additional cost of $300. The manager believes fromprevious information that the population proportion is 0.30 (π).Suppose that a survey of 100 new compact-car owners is selected (n)and 45 indicate that they would have purchased the side curtain airbags. If you were to conduct a test to determine whether there isevidence that the proportion is different from 0.30, what will beyour test statistic(Zstat) value?
Select one:
a. 3.27
b. 2.35
c. -4.103
d. 1.091
If an economist wishes to determine whether there is evidencethat mean family income in a community is more than $50,000
Select one:
a. a two-tail test should be utilized
b. either a one-tail or two-tail test could be used withequivalent results.
c. None of the above.
d. a one-tail test should be utilized.
Researchers determined that 60 tissues is the mean number oftissues used during a cold(μ). Suppose a random sample of 64Kleenex users (n) yielded the following data on the number oftissues used during a cold: Sample Mean ( X bar) = 57.5, S= 4. Using the sample information provided, calculate the value ofthe t-test statistic.
Select one:
a. t = -4.00
b. t = 4.56
c. t = -2.5
d. t = -5
Answer:
Solution:
Researchers determined that 60 tissues is the mean number oftissues(μ) used during a cold. Suppose a random sample of 64Kleenex users (n) yielded the following data on the number oftissues used during a cold: sample Mean (X bar) = 57.5,S = 4. Suppose the alternative you wanted to test wasH1: μ ≠ 60. State the correct rejection regionfor α = 0.1.
a. Reject H0 if t <-1.6694 or t >1.6694.
Explanation:
Since the alternative hypothesis is two-tailed,therefore, the two critical values at 0.1 significance level fordf=64-1=63 are:
A researcher is attempting to show statistically that the femaleMBA graduates have a significantly lower mean starting salary thanthe male MBA graduates. Which of the following is an appropriatealternative hypothesis?
Answer: d. H1: μfemales< μmales
Explanation: Since the claim is that the female MBAgraduates have a significantly lower mean starting salary than themale MBA graduates, therefore, the alternative hypothesis is oftype left-tailed
The marketing manager for an automobile manufacturer isinterested in determining the proportion of new compact-car ownerswho would have purchased a side curtain air bag if it had beenavailable for an additional cost of $300. The manager believes fromprevious information that the population proportion is 0.30 (π).Suppose that a survey of 100 new compact-car owners is selected (n)and 45 indicate that they would have purchased the side curtain airbags. If you were to conduct a test to determine whether there isevidence that the proportion is different from 0.30, what will beyour test statistic(Zstat) value?
Answer: a. 3.27
Explanation:
If an economist wishes to determine whether there is evidencethat mean family income in a community is more than $50,000
Answer: d. a one-tail test should beutilized.
Researchers determined that 60 tissues is the mean number oftissues used during a cold(μ). Suppose a random sample of 64Kleenex users (n) yielded the following data on the number oftissues used during a cold: Sample Mean ( X bar) = 57.5, S= 4. Using the sample information provided, calculate the value ofthe t-test statistic.
Answer: d. t = -5
Explanation: