Increasing the sample mean would cause a confidence interval to (a) shift left (b) shift right (c) decrease in width (d) increase in width (e) It would have no effect on the interval.

Q: Find the value of ta for a 99% confidence interval when sample size is 30

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: What is the one exception to using the z score for confidence intervals?

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Q: In a random sample of 500 people eating lunch at a cafeteria on various Fridays, it was found that…

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Q: What are the conditions for a confidence interval?

A: A confidence interval tells the possible range around the estimate and also how stable the estimate…

Q: 1. How is the expected length of a confidence interval related to the margin of error?

A: here use basic of confidence interval

Q: Generally speaking, what is the difference between a confidence interval and a prediction

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Q: Suppose you calculate a 99% confidence interval to be: 13.05 to 20.75. Determine the margin of error

A: Given data: The given upper limit is b=20.75. The given lower limit is a=13.05.   The expression for…

Q: Construct the confidence interval for the population mean.

A: Answer:

Q: Is the difference between the two indicators significant at the 95% confidence level?

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Q: Suppose you had a sample size of 41 and the population distribution was normal. Which approach would…

A: Here we use basic criteria for getting best interval estimation of mean

Q: What is the impact on the confidence interval estimate if a larger sample is used?

A: Confidence interval:

Q: What is the confidence interval estimate for the population mean? If the sample mean is 13 and error…

A: Given information: The sample mean is, M = 13 The error bound for the mean is, E = 3.2 It is…

Q: using the confidence interval method, to test that population mean equals 14, a researcher obtains…

A: Solution: State the hypotheses. Null hypothesis: H0: µ=14. That is, the population mean is equal to…

Q: Determine from a confidence interval whether a test is significant?

A: Null hypothesis states that there is no difference between populations or a set of given…

Q: confidence interval for the mean of five measurements is smaller than for a single result.

A: Here we use confidence interval formula for explanations as given in step 2

Q: What is the value of Z for this confidence interval?

A: Given,sample size(n)=14795no.of people who said yes=2219no.of people who said no =12576

Q: . If she wants to make a 95% confidence interval for the mean with the margin of error of 5 cm, at…

A: here from given information , σ = 17 cm MOE = 5cm here Z-critical for 95 % confidence level = 1.96…

Q: B. Construct a 95% confidence interval estimate of 4-4, the difference between the mean weight of…

A: Given Information: B) 95% confidence interval estimate of difference between the mean weight of…

Q: What is the effect of sample size on the width of a confidence interval?

A: If the sample size is increased, then the corresponding margin of error is decreased. Hence, the…

Q: Increasing the sample size will decrease the margin of error in your confidence interval.

A: Use the theory of confidence interval to solve this problem.

Q: b. Construct a confidence interval suitable for testing the claim that the mean IQ scores for…

A: b. Here, medium lead level is the first sample and high-level lead is the second sample.   The…

Q: As the sample standard deviation increases when all other parts of the confidence interval stay the…

A: We want tell the sample standard deviation increases when all other parts of the confidence interval…

Q: It was observed that 30 of the 100 randomly selected students smoked. Find the confidence interval…

A: It is given that, 30 out of 100 randomly selected students smoked i.e. proportion of the student who…

Q: Suppose you calculate a 95% confidence interval for a proportion to to be: 0.39 to 0.78. Determine…

A: Given,   Lower bound = 0.39​ Upper bound = 0.78   Here, we use to determine the margin of error.

Q: Explain the steps in computing a confidence interval for ρ?

A: Introduction: The steps to construct a confidence interval in general are: Identify a sample…

Q: Identify the y-score for a 99% confidence interval if the sample size is 35.

A: We have to find critical value for given data..

Q: Explain when you would use the z value or the t-value to calculate a confidence interval

A: Z value: The z value is used for finding the confidence intervals for single population proportion,…

Q: What happens in a confidence interval if the size of the sample increases the length of interval

A: WIdth of a confidence interval = W Margin of error = E

Q: What effect does increasing the sample size have on the width of a confidence interval? I know that…

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Q: What is the difference between a prediction interval and a confidence​ interval? And when is it…

A: Confidence Interval :  Confidence intervals tell you how well you have determined a parameter of…

Q: if you increase the sample size and confidence level at the same time. what will happen to the width…

A: The formula for the confidence interval (say) for population mean is :  C.I= x ± zα/2.s2n As the…

Q: We plan to sample parents in order to construct a 99% confidence interval for the proportion who…

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Q: Identify the y-score for a 95% confidence interval if the sample size is 15.

A: The confidence level is 0.95.

Q: 1. How can you make a 95% confidence interval smaller without changing the confidence level?

A: Confidence interval is an interval such that the probability of the unknown parameter to be included…

Q: d) Provide the appropriate interpretation for the confidence interval.

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Q: The 95% confidence interval for the mean contains the sample mean with 95% certainty.TrueFalse

A: The confidence interval provides us a different range at different levels of significance. Since,…

Q: The values in the middle of a confidence interval are more likely to be the true value for the…

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Q: When computing a confidence interval, the size of the error term depends on what?

A: The formula to calculate the error term for confidence interval is as follow:

Q: Wisconsin Public Radio wants to duplicate a survey conducted in 2011 that found that 68% of adults…

A: From the provided information, Sample proportion (p̂) = 0.68 The z critical value at 90% confidence…

Q: Identify the at-score for a 99% confidence interval if the sample size is 70.

A: givensample size(n)=70α=1-0.99=0.01

Q: Suppose we know that a confidence interval for a population proportion is (0.105,0.355), with a…

A: Obtain the margin of error. The margin of error is obtained below: Margin of Error: The margin of…

Q: What is meant by saying that a 1−α confidence interval is a. exact? b. approximately correct?

A: a) 1−α confidence interval is Exact means that the probability that the unknown value of population…

Q: The owner of the Gas station wishes to determine the proportion of customers who use credit card. he…

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Q: What two conditions will result in the use of the student-t distribution when constructing a…

A: Confidence interval for mean: When the sample size is large (n>30) and population variance (or…

Q: A 95% confidence interval for the mean weight of bags of potato chips packed by a machine was found…

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Q: What will happen to the precision of a confidence interval if the variability of a sample gets…

A: Farmula  Length of Confidence interval=2xZcxσ/√n

Q: What effect does increasing the sample size have on the length of a Confidence Interval (CI)?…

A: The confidence interval depends on the three factors: Confidence level: The width of the confidence…

Q: Suppose that based on a random sample, a 95% confidence interval for the mean hours slept (per day)…

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Q: For what type of variable does it make sense to construct a confidence interval about a population​…

A: Qualitative variable: A variable which cannot be measured in numerically is known as a Qualitative…