How will increasing the sample size without changing the level of confidence affect the width of a confidence interval for a population mean? Assume that the population standard deviation is unknown and the population distribution is approximately normal.
Select your answer from the choices below.
The margin of error will increase because the critical value will increase and the sample size, n, is located in the denominator of the formula for margin of error. The increased margin of error will cause the condence interval to be wider.
The margin of error will decrease because the sample standard deviation will decrease. The decreased margin of error will cause the condence interval to be narrower.
The margin of error will increase because the sample standard deviation will increase. The increased margin of error will cause the condence interval to be wider.
The margin of error will decrease because the critical value will decrease and the sample size, n, is located in the denominator of the formula for margin of error. The decreased margin of error will cause the condence interval to be narrower.
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How will increasing the sample size without changing the level of confidence affect the width of...
A sample of size n = 89 has sample mean x̄ = 87.2 and sample standard deviation s = 5.3. Construct a 95% confidence interval for the population mean ?. b. If the confidence level were 99%, would the confidence interval be narrower or wider? ( I am having trouble figuring out how the t-critical value of 1.963 is calculated as the answer for (a) and t-critical value for b) It does not make sense to me. Can someone explain?
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QUESTION 3 All things being equal, which is correct? As the confidence level increases, the margin of error gets larger. As the sample size increases, the confidence interval gets wider. As the standard deviation increases, the margin of error gets smaller. As the sample mean increases, the margin of error gets larger. Which of the following is correct? As the sample size increases, the confidence level decreases. As the confidence level increases, the width of the confidence interval decreases. As...
to estimate the population mean repair cost of microwave ovens in macomb, a random sample of 9 broken microwave ovens was selected and it is found that the sample mean repair cost was $80 with a sample standard deviation of $15. 1) what would be the “critical value” if you want to find a 95% confidence interval for the population mean? 2) what would be the “margin of error” if you want to find a 95% confidence interval for the...
QUESTION 1 Suppose we have a sample size of 100 and calculate a confidence interval. What will happen to that interval if we then get a sample size of 200 (all else equal). It will become narrower It will become wider. It will remain the same, because the mean is not changing It will get closer to 1.96.
QUESTION 1 Suppose we have a sample size of 100 and calculate a confidence interval. What will happen to that interval if...
A) Sample of size 15 is taken from among a population of egrets and used to calculate a 99% confidence interval for the true average wingspan in the population. Suppose the sample standard deviation is calculated to be s =6.2. What is the margin of error for the confidence interval? Round your answer to 3 decimal places. B) Suppose you are asked to construct a 99% confidence interval for an unknown population mean μ. The population standard deviation is unknown...
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