A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the 99% confidence interval with a maximum error of 0.2 reproductions per hour. Assuming that the mean is 10.6 reproductions and the variance is known to be 5.76, what is the minimum sample size required for the estimate? Round your answer up to the next integer.

Q: You collect a random sample of 100 students and find that their average GPA is 3.2, with variance =…

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Q: An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city…

A: Given information:Mean income(μ) = $22.2 (in thousands of dollars)Variance (σ 2)= $136.89Standard…

Q: Suppose we have two normal populations denoted A and B, and we want to compare their population…

A: Let the sample variance of A be SA2, the according to question the variance of B will be…

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A: BASIC STATISTIC

Q: Assume average grade of Physics 1 was 74 in fall 2019. We estimated the average grade of Physics 1…

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Q: Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone…

A: Given Information :        μ=7.9σ=var=0.25=0.5σ=0.5x=8.1

Q: Dylan wants to determine a 95% confidence interval for the true proportion of high school students…

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Q: Use the information to answer the following question. A scientist is worried about a new disease…

A: Given: The sample number of mosquitos that were captured is n=137. The number of mosquitoes were…

Q: Find the standard error,  t statics Sample variance = .67 Sample size = 30 Population  size = 60…

A: Given information- Sample variance, s2 = .67 So, sample standard deviation, s = 0.819 Sample size, n…

Q: A recent study shows that out of 5, 000 people who moved to Arizona, 2, 350 did so to take a new…

A: From the given information, sample size n = 1000. Total number of people moved n(S) = 5000. Number…

Q: Random samples of female and male undergraduates are asked to estimate the number of times a week…

A: Females (Population 1): 6, 3, 2, 6, 6, 6, 5, 2, 3, 4                           x1 = 4.3…

Q: Sample 1 (n = 6) from population 1 has a mean of 42.00 and a variance of 29.00. Sample 2 (n = 8)…

A: The given summary statistics are as follows:

Q: Suppose you wanted to take another sample of dogs to find a 90% confidence interval of young dogs to…

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Q: how large of a sample is required to estimate the mean usage of electricity? Round your answer up to…

A: Given, Margin of Error (ME) =0.1Variance =σ2=4Mean = μ = 19.6

Q: Student advisors are interested in determining if the variances of the scores of day students and…

A: Student advisors are interested in determining if the variances of scores of day students and night…

Q: A researcher wants to make a ninety-five percent confidence interval for the population mean. She…

A: From the given information,Margin of error , E = 0.56 Population variance, 7.6 Using formula ,

Q: If you have a population standard deviation of 10 and a sample size of 4, what is your standard…

A: Given,population standard deviation(σ)=10sample size(n)=4

Q: You take a sample of size 190 and get 23 successes. Confirm that the sample size was large enough to…

A: Given that Sample size (n) = 190  probability of success (p) = 23/190 = 0.12

Q: Given a non-normal population with a variance of 49 and mean of 3. If the size of a sample is n =…

A: We have given that  Variance =49 , mean= 3 Sample size = 81 Then standard deviation = sqrt(…

Q: You have a population of 100 engineering students at a certain university and you want to interview…

A: Assume, n be the minimum sample size required. N be the population. p^ be the sample proportion of…

Q: Jeremiah wants to estimate the mean age of students at his large university. He'll sample n students…

A: Margin of error =E =1 Population standard deviation =3

Q: A Statistics professor wanted to know how much time in a week his students study his course. He…

A: Given data, 180, 150, 300, 200, 60, 120, 90, 180, 60

Q: A simple random sample of 100 observations was taken from a large population. The sample mean and…

A: According to the given information in this question We need to find standard error

Q: For a sample of n=16 scores, how many scores are used to calculate the sample variance?

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Q: A toy manufacturer wants to know how many new toys children buy each year. Assume a previous study…

A: It is given that, Population variance is 1.44. The z-critical value for 85% confidence interval is…

Q: A sample of n = 4 scores has a variance of s2 = 64. What is the estimated standard error for the…

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Q: A professor wants to make sure that two different versions of a test are equivalent. He decides to…

A: The data is given as:For version A:Sample size: Sample variance: For version B:Sample size: Sample…

Q: For the population with a mean of 50 and a standard devitation of 8, find the z-score and standard…

A: Let X denotes the random variable that measures the particular characteristic of interest. Let, X1,…

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Q: An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city…

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Q: It is known that the population variance equals 522. What is the sample size that needs to be taken…

A: It is given that:

Q: upermarket manager wishes to make an estimate of the average time in minutes a customer spends at…

A: given data, CI=0.95σ2=9.8σ=3.1305n=?E≤0.9

Q: Suppose that you want to perform a hypothesis test based on independent random samples to compare…

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Q: A given age group's average height is 53 inches, with a standard variation of 4 inches. Determine…

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Q: Suppose that we are interested in comparing the academic success of college students who belong to…

A: Fraternity member:Sample size Sample mean Population variance Nonmembers:Sample size Sample mean…

Q: you measure the weights of a random sample of twenty-five people. The sample mean is 60 kg. Suppose…

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Q: Tina catches a 14-pound bass.  She does not know the population mean or standard deviation.  So she…

A: From the provided information, The data values are as follow: 9, 12, 13, 10 and 10 Sample size (n) =…