Mean Estimation: Known Variance Quiz

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Quiz on estimating mu with known variance.

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LOURDES FIANZA

Philippines

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Mean Estimation: Known Variance QuizOnline version Quiz on estimating mu with known variance. by LOURDES FIANZA 1 If sigma is known, the estimator for the population mean is the sample mean. Yes No 2 The confidence interval for mu requires knowledge of the population mean. Yes No 3 A 95% confidence interval for mu is xbar ± 1.96*(sigma/√n). Yes No 4 The sample size n does not affect the width of the confidence interval when sigma is known. Yes No 5 The z critical value for a 95% interval depends on n. Yes No 6 With known variance, the confidence interval for mu uses the standard normal quantiles. Yes No 7 If sigma is known, the maximum likelihood estimator for mu is not the sample mean. Yes No 8 The standard error of the sample mean is sigma divided by the square root of n. Yes No 9 Larger samples always give a narrower interval when sigma is known. Yes No 10 When sigma is known, we should use the t-distribution instead of the normal distribution. Yes No

Mean Estimation: Known Variance QuizOnline version

Quiz on estimating mu with known variance.

by LOURDES FIANZA

If sigma is known, the estimator for the population mean is the sample mean.

Yes

The confidence interval for mu requires knowledge of the population mean.

Yes

A 95% confidence interval for mu is xbar ± 1.96*(sigma/√n).

Yes

The sample size n does not affect the width of the confidence interval when sigma is known.

Yes

The z critical value for a 95% interval depends on n.

Yes

With known variance, the confidence interval for mu uses the standard normal quantiles.

Yes

If sigma is known, the maximum likelihood estimator for mu is not the sample mean.

Yes

The standard error of the sample mean is sigma divided by the square root of n.

Yes

Larger samples always give a narrower interval when sigma is known.

Yes

When sigma is known, we should use the t-distribution instead of the normal distribution.

Yes

You can integrate the game into an LMS compatible with LTI 1.1 or LTI 1.3 such as Canvas, Moodle, or Blackboard. This way, the scores will be automatically saved into the platform’s gradebook.

Mean Estimation: Known Variance Quiz

Yes or No

About this activity

Created by

Download the paper version to play

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Yes or No

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Yes or No

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Yes or No

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Mean Estimation: Known Variance QuizOnline version

by LOURDES FIANZA

If sigma is known, the estimator for the population mean is the sample mean.

The confidence interval for mu requires knowledge of the population mean.

A 95% confidence interval for mu is xbar ± 1.96*(sigma/√n).

The sample size n does not affect the width of the confidence interval when sigma is known.

The z critical value for a 95% interval depends on n.

With known variance, the confidence interval for mu uses the standard normal quantiles.

If sigma is known, the maximum likelihood estimator for mu is not the sample mean.

The standard error of the sample mean is sigma divided by the square root of n.

Larger samples always give a narrower interval when sigma is known.

When sigma is known, we should use the t-distribution instead of the normal distribution.

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