How large a sample should be selected to provide a 95% confidence interval with a margin of error of 4? Assume that the population standard deviation is 50. Round answer to the next whole number.

Q: When the standard deviation used to construct a confidence interval for a population mean increases,…

A: Given data: When the standard deviation used to construct a confidence interval for a population…

Q: How large a sample should be selected to provide a 95% confidence interval with a margin of error of…

A: Population standard deviation, sigma is 60.The z-critical value for 95% confidence interval is…

Q: How large a sample should be selected to provide a 90% confidence interval with a margin of error of…

A: Given,population standard deviation(σ)=60margin of error(E)=9α=1-0.90=0.1α2=0.05Z0.05=1.645

Q: A random sample of 54 four-year-olds attending day care centers provided a yearly tuition average of…

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Q: How large a sample should be selected to provide a  95% confidence interval with a margin of error…

A: The formula for the  sample size is as follows: Here, zα/2 is the critical value at 95% confidence…

Q: Suppose, according to a 1990 demographic report, the average U. S. household spends $90 per day.…

A: Sample mean = $84.5.Sample standard deviation, s is $14.5.The sample size, n is 30.

Q: 1. A recent study of 25 motorists showed that they spent an average of P750 per week. The standard…

A: Note: since you have posted multiple independent questions in the same request we will solve the…

Q: We take a sample of 50 people and obtain a sample mean of 147 pounds with a standard deviation of 15…

A: We have given that  Sample size n = 50 Sample mean = 147 Standard deviation = 15 90%confidence…

Q: Among various ethnic groups, the standard deviation of heights is known to be approximately three…

A: Using Excel formula “=NORM.S.INV(1-(0.04/2))”, the critical value for 96% confidence level is…

Q: In a survey, 26 people were asked how much they spent on their child's last birthday gift. The…

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Q: How large a sample should be selected to provide a 95%  confidence interval with a margin of error…

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Q: The population standard deviation for the height of college hockey players is 3.4 inches. If we want…

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Q: In a random sample of nine people, the mean driving distance to work was 25 miles the sample…

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Q: What sample size is needed to give a margin of error of ±8 in estimating a population mean with 95%…

A: Given At 95% confidence interval Standard deviation= 46 Margin of error= 8

Q: How large a sample should be selected to provide a 95% confidence interval with a margin of error of…

A: Population standard deviation, sigma is 50. The z-critical value for 95% confidence interval is…

Q: How large a sample should be selected to provide a 95% confidence interval with a margin of error of…

A:

Q: A random sample of 100 observations produced a mean x̅ =38.5 and a standard deviation of 3.2. find a…

A: Given information Sample size(n) = 100 Sample mean x̅ =38.5 Sample standard deviation = 3.2…

Q: A weekly tabloid reported that the average income of its subscribers is $39,100. Assume this…

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Q: A random sample of 81 credit sales in a department store showed an average sale of $75.00. From past…

A: Solution: Let X be the amount of sale. From the given information, n=81, x-bar=$75 and σ=$27.

Q: The tolerable level of a certain pollutant is 16 mg/l. A researcher takes a sample of size n=50, and…

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Q: What sample size would be needed to estimate the average body temperature of humans if you wished to…

A: Given data,E=0.1z-value at 99% confidence is Zc=2.576σ=0.6n=?

Q: How large a sample should be selected to provide a 95% confidence interval with a margin of error of…

A: Givenconfidence interval(c)=95%margin of error(E)=8standard deviation(σ)=10

Q: When preparing a national standardized test to be given to sixth graders, The Standard Test Company…

A: We have given that  Sample size n = 50 Sample mean = 135  Standard deviation = 20 95% confidence…

Q: A study of 64 bolts of carpet showed that their average length was 75 yards. The standard deviation…

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Q: How large a sample should be selected to provide a 95% confidence interval with a margin of error of…

A: Given, Margin error (E) = 6 Standard deviation = 20   The objective is to find the sample.…

Q: You measure 20 dogs' weights, and find they have a mean weight of 44 ounces. Assume the population…

A: Since we know population standard deviation, use z-distribution to find z-critical value. Find…

Q: In a sample of 80 light bulbs, the mean lifetime was 1217 hours with a standard deviation of 52…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: How large a sample should be selected to provide a 95% confidence interval with a margin of error of…

A: Given that, Confidence Interval = 95% Margin of error, M.E. = 4 Population Standard deviation, σ =…

Q: How large a sample should be selected to provide a 95% confidence interval with a margin of error of…

A: From the provided information, Population standard deviation (σ) = 50 Margin of error (E) = 8…

Q: that the scores have a standard deviation of 9. A psych Construct a 95% confidence interval for the…

A: An Existing inventory for a test measuring self-esteemσ=9 indicates that the scores have a standard…

Q: How large a sample should be selected to provide a 95% confidence interval with a margin of error of…

A: Solution: From the given information, σ=10 and E=9. The confidence level is 0.95.

Q: In a survey, 21 people were asked how much they spent on their child's last birthday gift. The…

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Q: How large a sample should be selected to provide a 95% confidence interval with a margin of error of…

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Q: A random sample of 80 customers, who visited a department store, spent an average of $75 at this…

A: Solution: Given information: n= 80 Sample size x= $75  Sample mean σ= $16 Population standard…

Q: To find the standard deviation of the diameter of wooden dowels, the manufacturer measures 19…

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Q: A sample of 15 items provides a sample mean of 18 and a sample variance of 16. Compute a 95%…

A: The known values are, The degree of freedom is, Critical values: By using the chi square table,…

Q: How large a sample should be selected to provide a 95%  confidence interval with a margin of error…

A: Given: Margin of error (E) = 8 Population standard deviation (σ) = 40 Confidence Interval = 0.95 α =…

Q: In a survey, 23 people were asked how much they spent on their child's last birthday gift. The…

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Q: A 95% confidence interval for the mean hours freshmen spent on social media per day was calculated…

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Q: What value of z would you use to calculate the 98% confidence interval for a population mean, given…

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Q: In a study it was found out of a random sample of 30 there was a sample standard deviation of 2.4.…

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Q: How large a sample should be selected to provide a  95% confidence interval with a margin of error…

A: It is given that the confidence level is 95% and the margin of error is 1. Assumed population…

Q: How large a sample should be selected to provide a 95% confidence interval with a margin of error of…

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Q: A random sample of 16 employees taken from the management level of the company gives a mean monthly…

A: Given that  Sample size = 16 , Mean = 17000 , Standard deviation = 5500

Q: How large a sample should be selected to provide a 95% confidence interval with a margin of error of…

A: Given dataStandard deviation = 20Confidence interval = 0.95Significance level(α) = 1- 0.95 = 0.05n =…

Q: How large a sample should be selected to provide a 95% confidence interval with a margin of error of…

A: Given information: Confidence interval(c)= 95%. Margin of error(E)=7. Population standard…

Q: The population standard deviation for the height of college basketball players is 3 inches. If we…

A: Given information: Population standard deviation for the height of college basketball players σ=3…

Q: A researcher wishes to estimate the average amount a college student makes over the summer. Assume…

A: (a)compute sample size  n  = (z a/2 *  s.d / me ) ^2z alpha/2 at 0.1 level of significance is =…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.