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Confidence Intervals Mean T

Authored by Anthony Clark

Mathematics

12th Grade

Confidence Intervals Mean T
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

An IQ test was given to a simple random sample of 75 students at a certain college. The sample mean score was 105.2. Scores on this test are known to have a standard deviation of 10. It is desired to construct a 90% confidence interval for the mean IQ scores of the students at the college.

What is the point estimate?

75

105.2

10

0.90

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

An IQ test was given to a simple random sample of 75 students at a certain college. The sample mean score was 105.2. Scores on this test are known to have a standard deviation of 10. It is desired to construct a 90% confidence interval for the mean IQ scores of the students at the college.


Find the Standard Error.

75

10

105.2

1.155

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which confidence would result in a wider interval (assuming nothing else changed), 91% or 97%?

97%, z* is larger for higher confidence intervals

97%, the standard error is larger for higher confidence intervals

91%, z* is larger for lower confidence intervals

91%, the standard error is smaller for lower confidence intervals

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

I have sampled 100 students and found that the 95% confidence interval for the mean is:

(7.5, 8.5)

There is a 95% chance that the true mean falls between 7.5 and 8.5

We are 95% confident that the true mean falls between 7.5 and 8.5

There is a 95% probability that my true mean is between 7.5 and 8.5

My margin of error is 95% of the data

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the confidence interval being calculated in the image to the left?

90% confidence interval

95% confidence interval

99% confidence interval

35% confidence interval

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

We use confidence intervals to estimate

parameters (population mean or population proportion)

statistics (sample mean or same proportion)

z-scores

probability

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which is the correct program to use on the TI-84 calculator in order to calculate confidence intervals for population mean?

STAT->

TESTS->

7:ZInterval

STAT->

TESTS->

1:Z-Test

STAT->

TESTS->

3:2-SampZTest

STAT->

TESTS->

2:T-Test

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