If you have two samples with the same sample mean but differentsample sizes, what would you expect regarding their confidenceintervals? Since the samples are from the same population there thepopulation standard deviation is the same for both.O The one with the larger sample size will have a wider confidence interval.The confidence intervals will be the same.O The one with the larger sample size will be shifted to the right.The one with the smaller sample size will have a wider confidence interval.The one with the smaller sample size will be shifted to the right.Mli

From the given information we find the correct Option regarding confidence interval.

Answered: f you have two samples with the same…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 441 randomly selected caterpillars observed, 59 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 99% confidence the proportion of all caterpillars that lived to become a butterfly is between and b. If many groups of 441 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about percent will not contain the true population proportion.
A statistics practitioner took a random sample of 57 observations from a population whose standard deviation is 25 and computed the sample mean to be 103. Note: For each confidence interval, enter your answer in the form (LCL, UCL). You must include the parentheses and the comma between the confidence limits. A. Estimate the population mean with 95% confidence. Confidence Interval = B. Estimate the population mean with 95% confidence, changing the population standard deviation to 58; Confidence Interval = C. Estimate the population mean with 95% confidence, changing the population standard deviation to 7; Confidence Interval =
You are interested in constructing a 99% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 381 randomly selected caterpillars observed, 42 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 99% confidence the proportion of all caterpillars that lived to become a butterfly is between and b. If many groups of 381 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about percent will not contain the true population proportion.
You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 377 randomly selected caterpillars observed, 42 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between and b. If many groups of 377 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about percent will not contain the true population proportion.
Suppose that the coach from Question 3 decides he wants to be more confident. The coach uses the same sample data as before, but recalculates the confidence interval using a 99% confidence level. How will increasing the confidence level from 95% to 99% affect the confidence interval? A B с D It is impossible to say without seeing the sample data. Increasing the confidence will increase the margin of error resulting in a wider interval. Increasing the confidence will decrease the margin of error resulting in a narrower interval. Increasing the confidence will have no effect on the interval.
Help Solve b,c,d
Tina catches a 14-pound bass. She does not know the population mean or standard deviation. So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds. Find the t and calculate a 95% (α = .05) confidence interval.
Which one of the following statements is true? The sample proportion is a parameter. A confidence interval is computed in order to estimate an unknown sample statistic. The margin of error is affected by the size of the sample proportion. If you construct a confidence interval for a population proportion and the interval ends up being from 0.48 to 0.59, this means the population proportion is definitely larger than 0.50. If a 95% confidence interval is given as 0.32 to 0.46, this means the sample proportion must be 0.38.
suppose that you take 1000 simple random samples from a population and that, for each sample, you obtain a 95% confidence interval for an unknown parameter. Approximately how many of those confidence intervals will continue the value of the unknown parameter?
You are interested in constructing a 95% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 390 randomly selected caterpillars observed, 60 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 95% confidence the proportion of all caterpillars that lived to become a butterfly is between and . b. If many groups of 390 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about percent will not contain the true population proportion.
Abe and Betty want to estimate the mean of a population with known standard deviation o. Abe takes 50 samples whereas Betty takes 80 samples. Which of the following statements are correct? (A) If both Abe and Betty use confidence intervals of the same width, then the confidence level of Abe's interval is smaller than that of Betty's (B) If both Abe and Betty use confidence intervals of the same width, then the confidence level of Abe's interval is larger than of Betty's (C) If Abe and Betty construct confidence intervals with the same confidence level, then the width of Abe's interval is smaller than that of Betty's (D) If Abe and Betty construct confidence intervals with the same confidence level then the width of Abe's interval is larger than that of Betty's (B) and (C). (A) and (D) (B) and (D) (A) and (C)
A statistics practitioner took a random sample of 54 observations from a population whose standard deviation is 29 and computed the sample mean to be 98. Note: For each confidence interval, enter your answer in the form (LCL, UCL). You must include the parentheses and the comma between the confidence limits. A. Estimate the population mean with 95% confidence. Confidence Interval = B. Estimate the population mean with 95% confidence, changing the population standard deviation to 43; Confidence Interval = C. Estimate the population mean with 95% confidence, changing the population standard deviation to 10; Confidence Interval =

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