Question

Researchers determined that 60 tissues is the mean number of tissues(μ) used during a cold. Suppose a random sample of 64 Kleenex users (n) yielded the following data on the number of tissues used during a cold: sample Mean (X bar) = 57.5, S = 4. Suppose the alternative you wanted to test was H₁: μ ≠ 60. State the correct rejection region for α = 0.1.

Select one:

a. Reject H₀ if t < -1.6694 or t >1.6694.

b. Reject H₀ if t > 1.9983 or t < -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 female MBA graduates have a significantly lower mean starting salary than the male MBA graduates. Which of the following is an appropriate alternative hypothesis?

Select one:

a. H₁: μ_females > μ_males

b. H₀: μ_females < μ_males

c. H₀: μ_females = μ_males

d. H₁: μ_females < μ_males

The marketing manager for an automobile manufacturer is interested in determining the proportion of new compact-car owners who would have purchased a side curtain air bag if it had been available for an additional cost of $300. The manager believes from previous 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 air bags. If you were to conduct a test to determine whether there is evidence that the proportion is different from 0.30, what will be your 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 evidence that 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 with equivalent results.

c. None of the above.

d. a one-tail test should be utilized.

Researchers determined that 60 tissues is the mean number of tissues used during a cold(μ). Suppose a random sample of 64 Kleenex users (n) yielded the following data on the number of tissues used during a cold: Sample Mean ( X bar) = 57.5, S = 4. Using the sample information provided, calculate the value of the t-test statistic.

Select one:

a. t = -4.00

b. t = 4.56

c. t = -2.5

d. t = -5

Answer 1

Solution:

Researchers determined that 60 tissues is the mean number of tissues(μ) used during a cold. Suppose a random sample of 64 Kleenex users (n) yielded the following data on the number of tissues used during a cold: sample Mean (X bar) = 57.5, S = 4. Suppose the alternative you wanted to test was H₁: μ ≠ 60. State the correct rejection region for 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 for df=64-1=63 are:

A researcher is attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates. Which of the following is an appropriate alternative hypothesis?

Answer: d. H₁: μ_females < μ_males

Explanation: Since the claim is that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates, therefore, the alternative hypothesis is of type left-tailed

The marketing manager for an automobile manufacturer is interested in determining the proportion of new compact-car owners who would have purchased a side curtain air bag if it had been available for an additional cost of $300. The manager believes from previous 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 air bags. If you were to conduct a test to determine whether there is evidence that the proportion is different from 0.30, what will be your test statistic(Zstat) value?

Answer: a. 3.27

Explanation:

If an economist wishes to determine whether there is evidence that mean family income in a community is more than $50,000

Answer: d. a one-tail test should be utilized.

Researchers determined that 60 tissues is the mean number of tissues used during a cold(μ). Suppose a random sample of 64 Kleenex users (n) yielded the following data on the number of tissues used during a cold: Sample Mean ( X bar) = 57.5, S = 4. Using the sample information provided, calculate the value of the t-test statistic.

Answer: d. t = -5

Explanation: