Practice Exam – Analytics (Part 1)
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Question 1 of 12
1. Question
You’re curious to learn more about how many students have actually studied for their first exam in a given course. You conduct a random sample of 35 peers and find that 22 of them studied for their first exam. What’s the 90% confidence interval?
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We are % confident that the true population parameter is between and (0.XXX).
(When calculating test statistic, round to intermediary values to 3 decimal places. Round bounds to 3 decimal places.)
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Question 2 of 12
2. Question
Sigma Apple Pi claims that a lot of people come to their parties. Out of curiosity, you take a random sample of 32 parties and find a sample mean of 673 attendants. Given that the standard deviation of every party they’ve thrown is 83 attendants, find a 95% confidence interval for the true mean attendance of a Sigma Apple Pi party.
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We are % confident that the true population parameter is between and .
(When calculating test statistic, round to intermediary values to 3 decimal places. Round bounds to 3 decimal places.)
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Question 3 of 12
3. Question
Sigma Apple Pi claims that a lot of people come to their parties. Out of curiosity, you take a random sample of 35 parties and find a sample mean of 482 attendants with a sample standard deviation of 53. Find a 90% confidence interval for the true mean attendance of a Sigma Apple Pi party.
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We are % confident that the true population parameter is between and .
(When calculating test statistic, round to intermediary values to 3 decimal places. Round bounds to 3 decimal places.)
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Question 4 of 12
4. Question
Chi Apple Pi claims that they go to more date parties than Sigma Blueberry Pi. You’re curious if they’re telling the truth, so you randomly sample sisters from each chapter and gather the following data about total date parties they’ve been to:
Chi Apple Pi Sigma Blueberry Pi Sample size 32 36 Sample mean 8.4 7.2 Sample standard deviation 2.1 1.3 Find the 99% confidence interval for the true difference in mean date parties that sisters in Chi Apple Pi vs. Sigma Blueberry Pi have been to. The degrees of freedom is 66.
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We are % confident that the true population parameter is between and .
(When calculating test statistic, round to intermediary values to 3 decimal places. Round bounds to 3 decimal places.)
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Question 5 of 12
5. Question
Professor XYZ claims that 60% of their students studied for over 1 hour for their exam. You think that a different proportion of their students studied for over 1 hour, so you collect a random sample of 40 of their students and find that 22 studied for over 1 hour. Provide support for your claim using a hypothesis test with an alpha level of 0.05.
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Since our p-value of is (less / greater) than than our alpha level of , we (reject / fail to reject) the null hypothesis and (do / do not) have enough evidence to support the alternative hypothesis.
(When calculating test statistic, round to intermediary values to 3 decimal places. If p-value is a range, enter like “x.xx – y.yy” or “> x.xx”, with x.xx as low value and y.yy as high value.)
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Question 6 of 12
6. Question
Professor XYZ claims that 55% of their students studied for over 1 hour for their exam. You think that the true proportion is higher since it was a really tough exam. You collect a random sample of 80 of their students and find that 60 studied for over 1 hour. Provide support for your claim using a hypothesis test with an alpha level of 0.01.
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Since our p-value of is (less / greater) than than our alpha level of , we (reject / fail to reject) the null hypothesis and (do / do not) have enough evidence to support the alternative hypothesis.
(When calculating test statistic, round to intermediary values to 3 decimal places. If p-value is a range, enter like “x.xx – y.yy” or “> x.xx”, with x.xx as low value and y.yy as high value.)
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Question 7 of 12
7. Question
Professor XYZ claims that 45% of their students studied for over 1 hour for their exam. You think that the true proportion is lower since it was a pretty easy exam. You collect a random sample of 75 of their students and find that 25 studied for over 1 hour. Provide support for your claim using a hypothesis test with an alpha level of 0.05.
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Since our p-value of is (less / greater) than than our alpha level of , we (reject / fail to reject) the null hypothesis and (do / do not) have enough evidence to support the alternative hypothesis
(When calculating test statistic, round to intermediary values to 3 decimal places. If p-value is a range, enter like “x.xx – y.yy” or “> x.xx”, with x.xx as low value and y.yy as high value.)
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Question 8 of 12
8. Question
XYZ University claims that the average attendance for their basketball games is 25,000 fans. However, you suspect that the actual average attendance is less than this figure. You take a random sample of 33 games and find a sample mean of 24,800. Given a population standard deviation of 750, provide support for your claim using a hypothesis test with an alpha level of 0.05.
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Since our p-value of is (less / greater) than than our alpha level of , we (reject / fail to reject) the null hypothesis and (do / do not) have enough evidence to support the alternative hypothesis.
(When calculating test statistic, round to intermediary values to 3 decimal places. If p-value is a range, enter like “x.xx – y.yy” or “> x.xx”, with x.xx as low value and y.yy as high value.)
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Question 9 of 12
9. Question
XYZ University claims that the average attendance for their basketball games is 10,000 fans. However, you suspect that the actual average attendance is higher than this figure. You take a random sample of 32 games and find a sample mean of 10,200. Given a population standard deviation of 1,000, provide support for your claim using a hypothesis test with an alpha level of 0.01.
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Since our p-value of is (less / greater) than than our alpha level of , we (reject / fail to reject) the null hypothesis and (do / do not) have enough evidence to support the alternative hypothesis.
(When calculating test statistic, round to intermediary values to 3 decimal places. If p-value is a range, enter like “x.xx – y.yy” or “> x.xx”, with x.xx as low value and y.yy as high value.)
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Question 10 of 12
10. Question
Your local bar claims that on Friday nights, the average attendance is 2,500. You believe it’s actually higher than that, so you collect a random sample of 35 nights and find a sample mean of 2,560 with a standard deviation of 128. Provide support for your claim using a hypothesis test with an alpha level of 0.05.
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Since our p-value of is (less / greater) than than our alpha level of , we (reject / fail to reject) the null hypothesis and (do / do not) have enough evidence to support the alternative hypothesis.
(When calculating test statistic, round to intermediary values to 3 decimal places. If p-value is a range, enter like “x.xx – y.yy” or “> x.xx”, with x.xx as low value and y.yy as high value.)
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Question 11 of 12
11. Question
Your local bar claims that on Friday nights, the average attendance is 850. You believe it actually does not equal that, so you collect a random sample of 20 nights (assume that the underlying attendance population is normally distributed) and find a sample mean of 822 with a standard deviation of 76. Provide support for your claim using a hypothesis test with an alpha level of 0.05.
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Since our p-value of is (less / greater) than than our alpha level of , we (reject / fail to reject) the null hypothesis and (do / do not) have enough evidence to support the alternative hypothesis.
(When calculating test statistic, round to intermediary values to 3 decimal places. If p-value is a range, enter like “x.xx – y.yy” or “> x.xx”, with x.xx as low value and y.yy as high value.)
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Question 12 of 12
12. Question
Bar XYZ claims to get outright more average attendance than Bar ABC. You decide to test their claim by randomly sampling attendance over the course of a month. You gather the following results:
Bar XYZ Bar ABC Sample size 30 31 Sample mean 823 782 Sample standard deviation 92 69 Conduct a hypothesis test with α = 0.05 to assess this claim, with degrees of freedom equaling 59.
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Since our p-value of is (less / greater) than than our alpha level of , we (reject / fail to reject) the null hypothesis and (do / do not) have enough evidence to support the alternative hypothesis.
(When calculating test statistic, round to intermediary values to 3 decimal places. If p-value is a range, enter like “x.xx – y.yy” or “> x.xx”, with x.xx as low value and y.yy as high value.)
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