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Estimating the Difference in Two Population Means

Authored by Theodore Cann

Mathematics

12th Grade

CCSS covered

Used 2+ times

Estimating the Difference in Two Population Means
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10 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which of the following examples suggests a confidence interval for the difference between two independent means?

What is the average height of 16 year old American males?

How much taller are 16 year old American males than females?

What is the average increase in height of American males between ages 13 and 16?

Is the average height of 16 year old American males greater than 68 inches?

Tags

CCSS.HSS.IC.B.4

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

A researcher was interested in comparing the salaries of employees of a particular company that work in the HR and IT departments. Independent random samples of 8 HR employees and 15 IT employees yielded the weekly salaries shown in the table (in dollars). Construct a 98% confidence interval estimate of the difference in population mean weekly salary.

(-$385, $164)

(-$158, $382)

(-$335, $111)

(-$431, $208)

(-$382, $158)

Tags

CCSS.HSS.IC.B.4

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

A researcher was interested in comparing the salaries of employees of a particular company that work in the HR and IT departments. Independent random samples of 8 HR employees and 15 IT employees yielded the weekly salaries shown in the table (in dollars). Which inference method would make the most sense based on the information given?

Two-sample pooled z-interval for means

Two-sample pooled t-interval for means

Matched pairs t-interval

Two-sample z-interval for means

Two-sample t-interval for means

Tags

CCSS.7.NS.A.1D

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A survey was conducted to determine the difference in gasoline mileage for two types of trucks. A random sample was taken for each model of truck, and the mean gasoline mileage, in miles per gallon, was calculated. A 98% confidence interval for the difference in the mean mileage for model A trucks and the mean mileage for model B trucks, μA - μB was determined to be (2.6, 4.5). Which of the following would be the most appropriate conclusion statement?

We are 98% confident that the average mileage for model B trucks is between 2.6 and 4.5 miles per gallon higher than the average mileage for model A trucks.

We know that 98% of model A trucks get mileage that is between 2.6 and 4.5 miles per gallon higher than model B trucks.

We are 98% confident that the average mileage for model A trucks is between 2.6 and 4.5 miles per gallon higher than the average mileage for model B trucks.

We are 98% confident that a randomly selected model A truck will get mileage that is between 2.6 and 4.5 miles per gallon higher than a randomly selected model B truck.

We know that 98% of all random samples done on the population of trucks will show that the average mileage for model A trucks is between 2.6 and 4.5 miles per gallon higher than the average mileage for model B trucks.

Tags

CCSS.HSS.IC.B.4

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A survey was conducted to determine the difference in gasoline mileage for two types of trucks. A random sample was taken for each model of truck, and the mean gasoline mileage, in miles per gallon, was calculated. A 98% confidence interval for the difference in the mean mileage for model A trucks and the mean mileage for model B trucks, μA - μB was determined to be (2.6, 4.5). Which of the following would be the point estimate of the confidence interval?

1.55

Cannot determine from the information given.

3.55

1.9

0.95

Tags

CCSS.HSS.IC.B.4

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A survey was conducted to determine the difference in gasoline mileage for two types of trucks. A random sample was taken for each model of truck, and the mean gasoline mileage, in miles per gallon, was calculated. A 98% confidence interval for the difference in the mean mileage for model A trucks and the mean mileage for model B trucks, μA - μB was determined to be (2.6, 4.5). Which of the following would be the margin of error for the confidence interval?

1.55

Cannot determine from the information given.

3.55

1.9

0.95

Tags

CCSS.HSS.IC.B.4

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

A study was conducted to determine the retirement ages for individuals working in the private sector versus individuals working in the public sector. The researcher obtained data from a random sample of 216 working individuals. The results are shown. Construct a 90% confidence interval for the difference in population mean retirement age.

(-$4.91, -$1.09)

(-$4.91, -$1.09)

(-$5.28, -$0.72)

(-$4.49, -$1.51)

Tags

CCSS.HSS.IC.B.4

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