The weight of a certain machined part has a standard deviation of 4 grams. How many parts from the assembly line would you need to sample to calculate a 95% confidence interval estimate of the average weight of the parts being manufactured with a margin of error of 2.27 grams?

Q: A survey of 100 retailers revealed that the mean after-tax profit was $80,000. Assuming that the…

A: Given data,n=100σ=15,000x=80,000z-value at 95% confidence is Zc=1.96

Q: The number of M&Ms in a 6 oz bag is normally distributed with a mean of 18.45 and a standard…

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

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Q: How large a sample should be selected to provide a 99% confidence interval with a margin of error of…

A: Given,standard deviation(σ)=50margin of error (E)=10α=1-0.99=0.01α2=0.005Z0.005=2.58

Q: What is the smallest sample size that guarantees that the margin of error is less than 6 when…

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Q: What is the minimum sample size necessary to construct a 90% confidence interval for with a margin…

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Q: A quality control manager wants to be sure that the standard deviation of oil containers is below a…

A: Let Xi be the amount of oil in the ith container,i=1,2,...,n.

Q: A sample of 49 managers reveals a sample mean of $45,420. The standard deviation of the samp is…

A: As the population standard deviation is not known, we will use t-distribution. The number of degrees…

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: A wildlife study is designed to find the mean weight of salmon caught by an Alaskan fishing company.…

A: Given information Standard deviation σ= 2.10 Confidence interval = 0.95 Significance level(α) = 1-…

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: According to the National Health Statistics Report, a sample of 360 one year old baby boys in the US…

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Q: In a survey, 24 people were asked how much they spent on their child's last birthday gift results…

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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: A random sample of 25 four-person families visiting New Orleans was selected, and the average amount…

A: From the provided information, Sample size (n) = 25 Sample mean (x̅) = $724.00 Sample standard…

Q: A financial institution wishes to estimate the mean balances owed by its credit card customers. 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: An advertising company wishes to estimate the mean household income for all single working…

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Q: On the Standford-Binet test, the mean IQ is 100. A class of 21 kindergarten pupils were tested with…

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Q: The mean for the verbal component of the SAT is reported as 500, with a standard deviation of 100. A…

A: It is given that the sample mean is 498 and the population standard deviation is 100.

Q: A group of automotive engineers decided to conduct a study of its school buses and found that for 32…

A: (a) Obtain the margin of error at the 99% confidence interval for the mean. The margin of error at…

Q: in a preliminary sample of men from a certain geographical region, the standard deviation of their…

A: Determine the sample size The sample size is obtained below as follows: The formula of sample size…

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

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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: Find the sample size necessary for an 80% confidence level with a maximal margin of error E= 0.07…

A: Given that s.d =0.34,alpha =0.2,E =0.07 ( e) n= ?

Q: Find the smallest sample size needed to estimate the population proportion for a margin of error of…

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Q: If a sample has 20 observations and a 90% confidence estimate for μ is needed, the appropriate…

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Q: A group of automotive engineers decided to conduct a study of its school buses and found that for 20…

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Q: A sample of 30 beams has an average strength of 1908.8 lbs. and s = 327.1. what is the 95%…

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Q: The average weight of 50 randomly selected minivans was 4,200 pounds. The minivan population…

A: Introduction: The 100 (1 – α) % confidence interval for the population mean, μ, when the population…

Q: For a confidence level of 96%, find the critical value for a confidence interval on a one sample…

A: It is given that the confidence level is 0.96.

Q: In a sample of 15 small candles, the weight is found to be 3.72 ounces with a standard deviation of…

A: It is given that,Sample mean = 3.72 ounces.Sample standard deviation, s is 0.963 ounces.The sample…

Q: The mean time it takes for a random sample of 758 airplanes to fly from Florida to New York was…

A: airplanes to fly from Florida to New York μ=165  standard deviation σ=45 The mean time n=758…

Q: 3. Another engineer studies the strength of cables, which has a known population standard deviation…

A: Here we need to obtain the minimum sample size required to obtain a 97% confidence interval.

Q: Find the desired sample size for a 90% confidence interval with a margin of error equal to 0.03

A: Given information: Denote the population proportion as p. Since, the preliminary estimate of the…

Q: blood pressure. A health department researcher found that 634 out of a random sample of 1713 county…

A: We have given that, Favorable cases (X) = 634 and sample size (n) = 1713

Q: argin of

A: Let X be the random variable such that the height of college football players. σ : The population…

Q: A sample from a normal population is given with mean 54 and the standard deviation 12. Find the…

A: Given : n = 25 x¯=54 S = 12

Q: Construct a 95% confidence interval for the population standard deviation σ if a sample of size 10…

A: Solution

Q: The average weight of 31 randomly selected minivans was 4150 pounds. The sample standard deviation…

A: Given that, Mean = 4150 Standard deviation = 480 Sample size = 31 99% confidence level

Q: What is the minimum required sample size to make a 96% confidence interval for a population mean if…

A: Margin of error=E=2 Standard deviation=σ=12 96% confidence interval  E=Zc×σ/√n n=sample size

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: For a confidence level of 98%, find the critical value for a confidence interval on a one sample…

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Q: Given a certain 98% confidence interval is (0.05,0.29), what is the exact value of the margin of…

A: We have given that 98% confidence interval is (0.05,0.29) Since we know that Lower bound = x̅ - E…

Q: A wildlife study is designed to find the mean weight of salmon caught by an Alaskan fishing company.…

A:

Q: The average weight of 35 randomly compact automobiles was 2680. The sample standard deviation was…

A: From the provided information, Sample size (n) = 35 Sample mean (x̅) = 2680 Sample standard…

Q: How much do students pay, on the average, for textbooks during the first semester of college? From a…

A: Margin of Error (MoR): It is the Range of values that has the sample statistics in the confidence…

Q: The determination of copper in a seawater sample gave a mean value of 77.81 mg/L and a ndard…

A: Critical value: The confidence level is 100*(1–α)% = 95%. The critical value is obtained as 1.96…

Q: Construct a 99% confidence interval for the population standard deviation σ if a sample of size 11…

A: Confidence Interval: A confidence interval, in statistics, refers to the probability that a…

Q: Given that the population standard deviation is 1, determine the minimum sample size needed in order…

A: Given : population standard deviation = σ = 1 margin of error = E = 0.2 level of confidence = 95% At…

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.