Homework Answers
3
and
question 1
we know, as the confidence level increases, value of z score
increases which in turn increases the margin of error (refer
formula (a)
so, here, OPTION A is correct
question 2
OPTION D: As the confidence ilevel increases,
confidence interval gets wider. refer formula (b)
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QUESTION 3 All things being equal, which is correct? As the confidence level increases, the margin...
Find the margin of error for a 95% confidence interval for estimating the population mean when...
Find the margin of error for a 95% confidence interval for estimating the population mean when the sample standard deviation equals 92, with a sample size of (a) 400,(b) 1800. What is the effect of the sample size? 2. The margin of error for a 95% confidence interval with a sample size of 400 is (Round to the nearest tenth as needed.) b. The margin of error for a 90% confidence interval with a sample size of 1600 is (Round...
What would happen (other things being equal) to a confidence interval if you calculated a 99%...
What would happen (other things being equal) to a confidence interval if you calculated a 99% confidence interval rather than a 95% confidence interval? Question 11 options: It will not change. It will be wider. It will be narrower.
Which statement about a confidence interval estimate of is true? A. Increasing the sample size decreases...
Which statement about a confidence interval estimate of is true? A. Increasing the sample size decreases the error margin. B. Increasing the level of confidence decreases the error margin. OC. Decreasing the error margin makes the confidence interval wider. OD. Increasing the population mean increases the error margin, QUESTION 10 The fishing industry is interested in the mean weight of salmon caught by a certain fishing company. From previous years' data, the standard deviation of the weights of salmon caught...
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....
In a recent poll of 1 adults current debt during the next three months. A more...
In a recent poll of 1 adults current debt during the next three months. A more detailed poll surveyed 1288 adult groups, 18-29, 30-49, 50-64, and 65+. Complete parts a and b below ) Do you expect the 95% confidence interval for the true proportion of all 18-to 29-year-olds who are wormed to be wider or narrower than the 95% c for the true proportion of all consumers? Explain Choose the correct answer below O A The interval for the...
17. If the confidence level for a confidence interval is 98%. then the error rate α...
17. If the confidence level for a confidence interval is 98%. then the error rate α is ______. a. 98% b. 2% c. 95% d. 5% 18. Suppose the sample mean is μ and the confidence interval for population mean is (μ-E, μ+E). E will be getting smaller if: (18.a) the sample size is getting ___________; a. smaller b. larger (18.b) the standard deviation of the data in the sample is __________; a. smaller b. larger (18.c) the allowed error...
Which of the following does NOT correctly describe how the width of a confidence interval for...
Which of the following does NOT correctly describe how the width of a confidence interval for a population mean changes when the population standard deviation is known? The interval changes if the sample size decreases. The interval changes if the sample size increases. The interval narrows if the sample size increases and confidence level stays the same. The interval widens if the sample size decreases and the confidence level stays the same. The interval widens if the sample size stays...
Which of the following correctly describes how the width of a confidence interval for a population...
Which of the following correctly describes how the width of a confidence interval for a population mean changes when the population standard deviation is known? There is no change if just the sample size increases. The interval widens if the sample size stays the same and confidence level decreases. The interval narrows if the sample size increases and confidence level stays the same. The interval narrows if the sample size decreases and confidence level stays the same. The interval widens...
(C) If the confidence levels were 99.5% rather than 99.9% would the margin of error be...
(C) If the confidence levels were 99.5% rather than 99.9% would
the margin of error be larger or smaller than the result in part
(a) ? Explain.
The margin of error would be ( larger or smaller ) , since ( an
increase or a decrease ) in the confidence level will ( decrease or
increase ) the critical value z a/2.
SAT scores: A college admissions officer takes a simple random sample of 100 entering freshmen and computes their...
Which one is the right one? Keeping all the other things the same, if there is...
Which one is the right one?
Keeping all the other things the same, if there is an increase in the sample size the confidence interval would become O No change Wider 0 Change from a 99% to a 95% level of confidence Narrower
Find the margin of error for a 95% confidence interval for estimating the population mean when the sample standard deviation equals 92, with a sample size of (a) 400,(b) 1800. What is the effect of the sample size? 2. The margin of error for a 95% confidence interval with a sample size of 400 is (Round to the nearest tenth as needed.) b. The margin of error for a 90% confidence interval with a sample size of 1600 is (Round...
Which statement about a confidence interval estimate of is true? A. Increasing the sample size decreases the error margin. B. Increasing the level of confidence decreases the error margin. OC. Decreasing the error margin makes the confidence interval wider. OD. Increasing the population mean increases the error margin, QUESTION 10 The fishing industry is interested in the mean weight of salmon caught by a certain fishing company. From previous years' data, the standard deviation of the weights of salmon caught...
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....
In a recent poll of 1 adults current debt during the next three months. A more detailed poll surveyed 1288 adult groups, 18-29, 30-49, 50-64, and 65+. Complete parts a and b below ) Do you expect the 95% confidence interval for the true proportion of all 18-to 29-year-olds who are wormed to be wider or narrower than the 95% c for the true proportion of all consumers? Explain Choose the correct answer below O A The interval for the...
(C) If the confidence levels were 99.5% rather than 99.9% would
the margin of error be larger or smaller than the result in part
(a) ? Explain.
The margin of error would be ( larger or smaller ) , since ( an
increase or a decrease ) in the confidence level will ( decrease or
increase ) the critical value z a/2.
SAT scores: A college admissions officer takes a simple random sample of 100 entering freshmen and computes their...
Which one is the right one?
Keeping all the other things the same, if there is an increase in the sample size the confidence interval would become O No change Wider 0 Change from a 99% to a 95% level of confidence Narrower
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