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
point estimators from a...
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. 13.4 11.6 11.9 12.9 12.5 11.4 12.0 11.7 11.8 13.4 (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...
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
.
Current Attempt in Progress Construct 90%, 95%, and 99% confidence intervals to estimate μ from the...
Current Attempt in Progress 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. 13.3 11.6 11.9 13.1 12.5 11.4 12.0 11.7 11.8 13.3 Appendix A Statistical Tables (Round the intermediate values to 4 decimal places. Round your answers to 2 decimal places.) 90% confidence interval: enter the lower limit of the 90% confidence interval ≤ μ ≤ enter the upper limit of the...
Confidence Intervals 9. Construct a 95 % confidence interval for the population mean, . In a...
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....
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. 13.1 11.6 11.9 13.0 12.5 11.4 12.0 11.7 11.8 13.1
Current Attempt in Progress Construct 90%, 95%, and 99% confidence intervals to estimate from the following...
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
Use the given degree of confidence and sample data to construct a confidence interval for the...
Use the given degree of confidence and sample data to construct a confidence interval for the population mean mu. Assume that the population has a normal distribution. Thirty randomly selected students took the calculus final. If the sample mean was 75 and the standard deviation was 5.8, construct a 99% confidence interval for the mean score of all students. Round to two decimal places. A. 73.20<μ<76.80 B. 72.09<μ<77.91 C. 72.08<μ<77.92 D. 72.39<μ<77.61
Assignment 2: Connection between Confidence Intervals and Sampling Distributions: The purpose of this activity is to...
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ters, Statistical Intervals for a Single Sample Prok cm : An engineer is analying the compressive...
ters, Statistical Intervals for a Single Sample Prok cm : An engineer is analying the compressive strength of concrete. Compressive strength is normally distributed with σ2 1000(psi)2. A random sample of 12 specimens has Workshop: Point Estimation of Paramet or',, a mean compressive strength of x 3250 psi. (a) Construct a 95% two-sided confidence interval on mean compressive strength (b) Construct a 99% two-sided confidence interval on mean conpressive strength. Compare the width of this confidence interval with the width...
Problem 2: Problem 4 (20pts) For the data set in problem 2 construct 95% confidence intervals...
Problem 2:
Problem 4 (20pts) For the data set in problem 2 construct 95% confidence intervals for include zero, if no explain what does this mean? and explain the results. Does the interval The marketing department of Coca Cola wanted to analyze the relationship between the price of Coke and the demand for it. They were concerned that if they continue increasing the price, people will switch to Pepsi. Calculate Bo and B for the following data and give interpretation...
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
ters, Statistical Intervals for a Single Sample Prok cm : An engineer is analying the compressive strength of concrete. Compressive strength is normally distributed with σ2 1000(psi)2. A random sample of 12 specimens has Workshop: Point Estimation of Paramet or',, a mean compressive strength of x 3250 psi. (a) Construct a 95% two-sided confidence interval on mean compressive strength (b) Construct a 99% two-sided confidence interval on mean conpressive strength. Compare the width of this confidence interval with the width...
Problem 2:
Problem 4 (20pts) For the data set in problem 2 construct 95% confidence intervals for include zero, if no explain what does this mean? and explain the results. Does the interval The marketing department of Coca Cola wanted to analyze the relationship between the price of Coke and the demand for it. They were concerned that if they continue increasing the price, people will switch to Pepsi. Calculate Bo and B for the following data and give interpretation...
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