Determine whether the samples are independent or dependent.
Sample 1: The scores of 10 students who took the ACT
Sample 2: The scores of 10 different students who took the SAT
independent
dependent
Question 2 point
Determine whether the samples are independent or dependent.
As part of a marketing experiment, a department store regularly mailed discount coupons to 25 of
its credit card holders. Their total credit card purchases over the next three months were compared
to their prior credit card purchases during the previous three months. Determine whether the
samples are dependent or independent.
independent
dependent
Question 3 point
State your conclusion to the hypothesis test.
At α = 0.10, test a financial advisor's claim that the mean dividend rate for listings in the NYSE
market is less than the mean dividend rate for listings in the NASDAQ market. The sample
statistics from randomly selected listings from each market are listed below. State the conclusion.
(Assume the variances are not equal.)
There is sufficient evidence to suggest that the mean dividend rate for
listings in the NYSE market is less than the mean dividend rate for
listings in the NASDAQ market.
There is sufficient evidence to suggest that the mean dividend rate for
listings in the NYSE market is more than the mean dividend rate for
listings in the NASDAQ market.
There is insufficient evidence to suggest that the mean dividend rate for
listings in the NYSE market is less than the mean dividend rate for
listings in the NASDAQ market.
We are 10% confident that the mean dividend rate for listings in the
NYSE market is less than the mean dividend rate for listings in the
NASDAQ market.
Question 4 point
State your conclusion to the hypothesis test.
At a local college, 65 female students were randomly selected and it was found that their mean
monthly income was $609 with a standard deviation of $121.50. 75 male students were also
randomly selected and their mean monthly income was found to be $651 with a standard deviation
of $168.70. Test the claim that male students have a higher mean monthly income than female
students. Use α = 0.01. State the conclusion.
Hint: pvalue = 0.045
There is insufficient evidence to suggest that male students have a
higher mean monthly income than female students.
There is sufficient evidence to suggest that male students have a higher
mean monthly income than female students.
There is sufficient evidence to suggest that female students have a
higher mean monthly income than male students.
We are 1% confident that male students have a higher mean monthly
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students.
, Question 5 point
Construct the requested confidence interval.
A study was conducted to determine if the salaries of elementary school teachers from two
neighboring districts were different. A sample of 60 teachers from each district was randomly
selected. The mean from the first district was $28,900 with a population standard deviation of
$2000. The mean from the second district was $30,300 with a population standard deviation of
$2990. Construct a 95% confidence interval for μ1 μ2.
Question 6 point
Construct the requested confidence interval.
A study was conducted to determine if the salaries of firefighters from two neighboring cities were
different. A sample of 75 firefighters from each city was randomly selected. The mean from the first
city was $38,200 with a population standard deviation of $3100. The mean from the second city
was $40,150 with a population standard deviation of $3300. Construct a 99% confidence interval
for μ1 μ2.
In the initial test of the Salk vaccine for polio, 400,000 children were selected and divided into two
groups of 200,000. One group was vaccinated with the Salk vaccine while the second group was
vaccinated with a placebo. Of those vaccinated with the Salk vaccine, 33 later developed polio. Of
those receiving the placebo, 115 later developed polio. Test the claim that the Salk vaccine is
effective in lowering the polio rate. Use State the conclusion.
Hint: the test statistic is z = 6.74
There is sufficient evidence to suggest that the average number of
people who were diagnosed with Polio was reduced by taking the Salk
vaccine.
There is insufficient evidence to suggest that the proportion of people
who were diagnosed with Polio was reduced by taking the Salk vaccine.
We cannot reject the null hypothesis at the 1% level of significance.
There is sufficient evidence to suggest that the proportion of people
who were diagnosed with Polio was reduced by taking the Salk vaccine.
Question 8 point
Construct the requested confidence interval.
In a recent survey of gun control laws, a random sample of 1000 women showed that 65% were in
favor of stricter gun control laws. In a random sample of 1000 men, 60% favored stricter gun
control laws. Construct a 95% confidence interval for p1 p2.
A weightlifting coach claims that weightlifters can increase their strength by taking a certain
supplement. To test the theory, the coach randomly selects 9 athletes and gives them a strength
test using a bench press. The results are listed below. Thirty days later, after regular training using
This
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listed below. Test theon 09-05-2024
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