If I were to construct intervals using the same data set and point estimators from a...
If I were to construct intervals using the same data set and point estimators from a normal distribution, which of these intervals would have the greatest width? Why did you choose that one?
a) A 95% confidence interval for the mean μ
b) A 99% confidence interval for the mean μ
c) A 95% prediction interval for a future observation
d) A 99 % prediction interval for a future observation
Homework Answers
The answer is:
A prediction interval is always wider than a confidence interval. So we will also choose a production interval for greater width.
Also, the critical value at a 99% confidence interval is higher than a 95% confidence interval. Hence option d is correct based on the criteria.
Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!
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If I were to construct intervals using the same data set and
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Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the...
Construct 90%, 95%, and 99% confidence intervals to estimate
μ from the following data. State the point estimate.
Assume the data come from a normally distributed
population.
12.1
11.6
11.9
12.3
12.5
11.4
12.0
11.7
11.8
12.1
Appendix A Statistical Tables
(Round the intermediate values to 4 decimal places.
Round your answers to 2 decimal places.)
90% confidence interval:
≤ μ ≤
95% confidence interval:
≤ μ ≤
99% confidence interval:
≤ μ ≤
The point estimate is
.
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Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the...
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Construct 90%, 95%, and 99% confidence intervals to estimate
μ from the following data. State the point estimate.
Assume the data come from a normally distributed
population.
12.1
11.6
11.9
12.3
12.5
11.4
12.0
11.7
11.8
12.1
Appendix A Statistical Tables
(Round the intermediate values to 4 decimal places.
Round your answers to 2 decimal places.)
90% confidence interval:
≤ μ ≤
95% confidence interval:
≤ μ ≤
99% confidence interval:
≤ μ ≤
The point estimate is
.
Confidence Intervals 9. Construct a 95 % confidence interval for the population mean, . In a random sample of 32 computers, the mean repair cost was $143 with a sample standard deviation of $35 (Section 6.2) Margin of error, E. <με. Confidence Interval: O Suppose you did some research on repair costs for computers and found that the population standard deviation, a,- $35. Use the normal distribution to construct a 95% confidence interval the population mean, u. Compare the results....
Current Attempt in Progress Construct 90%, 95%, and 99% confidence intervals to estimate from the following data. State the point estimate. Assume the data come from a normally distributed population 12.4 11.6 11.9 12.9 12.5 11.4 120 11.7 118 12.4 Appendix A Statistical Tables (Round the intermediate values to 4 decimal places. Round your answers to 2 decimal places.) SUS 90% confidence interval: SM 95% confidence interval: sus 99% confidence interval: The point estimate is
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