2) Suppose that x has a normal distribution with o = 3. a) Find the minimal sample size required so that for a 90% confidence interval, the maximal margin of error is E = 0.5. Wee date Tevai c= b) Based on the sample size and the x distribution, can we assume that the x distribution is approximately normal? Explain.
Q: Use the sample information x¯x¯ = 44, σ = 6, n = 17 to calculate the following confidence intervals…
A: Given The data is as follows: x¯=44σ=6n=17CL=0.90
Q: Suppose that the pulse rates of adult males vary from a low of 30 bpm to a high of 110 bpm. Assume…
A: pulse rates of adult males vary from Low =30 bpm High=110 bpm confidence level=95% Margin of…
Q: Suppose that the pulse rates of adult males vary from a low of 35 bpm to a high of 115 bpm. Assume…
A: Minimum value=M=35, Maximum value=Mo=115, Margin of error=E=3
Q: A simple random sample of size n=16 is drawn from a population that is normally distributed. The…
A: Given information : Sample size = n = 16 Sample mean = x = 66 Sample standard deviation = s = 19…
Q: An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population…
A: Given data,σ=12E=5z-value at 99% confidence is Zc=2.576n=?
Q: An IQ test is designed so that the mean is 100 and the standard deviation is 13 for the population…
A: Givenmean = 100standard deviation = 13Margin of error = 5Using Ti 84 calculator the critical value…
Q: An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population…
A:
Q: A simple random sample of size n=17 is drawn from a population that is normally distributed. The…
A:
Q: An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population…
A: Givenstandard deviation(σ)=12Marign of error(E)=7c=99%α=1-0.99=0.01α2=0.005zα2=z0.005=2.5758 (from…
Q: The minimum sample size is (Round up to the nearest integer.) ...
A: It is given that Margin of error, E = 0.008 Confidence level = 95%
Q: Use the confidence level and sample data to find a confidence interval for estimating the population…
A:
Q: An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population…
A: The provided data is,
Q: Create a 95% confidence interval for the population proportion of Orange candies. sample size is…
A: From the provided information, Confidence level = 95% Sample size (n) = 30 Point estimate (p̂) =…
Q: An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population…
A:
Q: A sample of size n = 47 has a sample mean x = 58.2 and sample standard deviation s = 9.6 a) A 99.8%…
A:
Q: Assume that the population standard deviation is known and decide whether use of the z-interval…
A:
Q: Determine the point estimate of the population mean and margin of error for the confidence interval…
A:
Q: An IQ test is designed so that the mean is 100 and the standard deviation is 14 for the population…
A:
Q: An IQ test is designed so that the mean is 100 and the standard deviation is 25 for the population…
A: Obtain the sample size needed. The sample size needed is obtained below as follows : Obtain the…
Q: A simple random sample of size n=15 is drawn from a population that is normally distributed. The…
A: Given information: n=15 x=57 s=20 Confidence level is 95% Significance level is 5%=0.05…
Q: An IQ test is designed so that the mean is 100 and the standard deviation is 17 for the population…
A: Givenstandard deviaion(σ)=17Margin of error(E)=4confidence level =…
Q: An IQ test is designed so that the mean is 100 and the standard deviation is 22 for the population…
A: The given information, α = 0.10 ; E = 5 ; σ = 22 The critical value for the significance level α =…
Q: A random sample of size 30 is taken from a normal distribution with standard deviation 9. The…
A: A random sample of size 30 is taken from a normal distribution with standard deviation 9. The sample…
Q: For a data set obtained from a sample n=20 and x=31.5. It is know that the standard deviation = 3.5.…
A: Given information Sample size(n) = 20 Sample mean x̅ = 31.5 Population standard deviation = 3.5…
Q: An IQ test is designed so that the mean is 100 and the standard deviation is 25 for the population…
A:
Q: An IQ test is designed so that the mean is 100 and the standard deviation is 15 for the population…
A: Given information Standard deviation σ= 15 Confidence interval = 0.99 Significance level(α) = 1-…
Q: An IQ test is designed so that the mean is 100 and the standard deviation is 13 for the population…
A: Since we know population standard deviation, use z-distribution to find z-critical value. Find…
Q: 3) A random sample with the prices of 20 sleeping bags have a sample mean i = $83, and the…
A: Given : A random sample with the prices of 20 sleeping bags have a sample mean x = $83, and the…
Q: Using the simple random sample of weight a woman from a data sets we obtain these sample statistics:…
A:
Q: An 1Q test is designed so that the mean is 100 and the standard deviation is 21 for the population…
A: It is given that the confidence level is 0.95, the population standard deviation is 21, and the…
Q: Suppose that the population of heights of all fully grown male West African giraffes is…
A: Followings are the explanation of the question Use the one sample t test and its confidence level…
Q: An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population…
A: Answer Given,The confidence interval = 90%The margin of error [E] = 2The mean = 100The standard…
Q: An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population…
A: Since we know population standard deviation, use z-distribution to find z-critical value. As…
Q: An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population…
A: Determine the sample size n needed. Use EXCEL MEGASTAT to obtain the sample size. EXCEL MEGASTAT…
Q: An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population…
A: It is given that Mean, μ = 100 Standard deviation, σ = 10 Margin of error, E = 3 Confidence level =…
Q: The number of square feet per house are normally distributed with a population standard deviation of…
A: We have to calculate 80% confidence level margin of error.
Q: You are asked to advise a researcher the estimator they should use to find the value of 0 from a set…
A: We have a uniform distribution U0, θ. We are interested in estimating θ and two estimators are taken…
Q: An IQ test is designed so that the mean is 100 and the standard deviation is 25 for the population…
A: Solution
Q: An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population…
A: GIVEN DATA 90% ci for meanσ = 12E = 4 n = ?
Q: An IQ test is designed so that the mean is 100 and the standard deviation is 13 for the population…
A:
Q: The pulse rates of 215 randomly selected adult males vary from a low of 33 bpm to a high of 121 bpm.…
A: Solution: From the given formation, smallest pulse rate is 33 bpm, the largest pulse rate is 121 bpm…
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- An IQ test is designed so that the mean is 100 and the standard deviation is 19 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of nurses such that it can be said with 90% confidence that the sample mean is within 5 IQ points of the true mean. Assume that o = 19 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is (Round up to the nearest integer.) Would it be reasonable to sample this number of nurses? No. This number of IQ test scores is a fairly large number. No. This number of IQ test scores is a fairly small number. Yes. This number of IQ test scores is a fairly large number. Yes. This number of IQ test scores is a fairly small number. O o o OSuppose a certain species of bird has an average weight of sample mean= 3.60 grams. Based on previous studies, we can assume that the weights of these birds have a normal distribution with σ=0.36 grams. Find the sample size necessary for a 95% confidence level with a maximal error of estimate E = 0.18 for the mean weights of the hummingbirds 4 61 16 8 31An IQ test is designed so that the mean is 100 and the standard deviation is 19 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 6 IQ points of the true mean. Assume that o = 19 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is (Round up to the nearest integer.)
- Suppose that the population of lengths of all fully grown male killer whales is approximately normally distributed. A recent article published in the Zoology Now journal claims that the mean of this population is 6.99 m. You want to test the claim made in the article, so you select a random sample of 10 fully grown male killer whales and record the length of each. Follow the steps below to construct a 90% confidence interval for the population mean of all lengths of fully grown male killer whales. Then state whether the confidence interval you construct contradicts the article's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. (b) Take Sample Point estimate: 0 Sample standard deviation: 0 Critical value: 0 Compute Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your 90% confidence interval. (Choose the correct critical value…Assume that the population standard deviation is known and decide whether use of the z-interval procedure to obtain a confidence interval for the population mean is reasonable. Explain your answers. The sample data contain no outliers, the variable under consideration is roughly normally distributed, and the sample size is 20.The pulse rates of 176 randomly selected adult males vary from a low of 40 bpm to a high of 116 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 95% confidence that the sample mean is within 2 bpm of the population mean.
- A simple random sample of size n=40 is drawn from a population. The sample mean is found to be x=121.3 and the sample standard deviation is found to be x=12.3. Construct a 99% confidence interval for the population mean.9. In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were obtained: 0.19, 0.06, 0.09, 0.18, 0.18, 0.13, 0.08. Assuming that this sample is representative of the cars in use and the population is normally distributed, construct a 98% confidence interval estimate of the mean amount of nitrogen-oxide emissions for all cars. g/mi < µ <, g/mi If the EPA requires that nitrogen-oxide emissions be less than 0.165 g/mi, can we safely conclude that this requirement is being met? OA. Yes, because the confidence interval contains 0.165 g/mi. O B. Yes, we can definitely conclude that the requirement is met for all cars. O C. No, because the confidence interval does not contain 0.165 g/mi. O D. No, it is possible that the requirement is being met, but it is also very possible that the mean is not less than 0.165 g/mi.Suppose that the population standard deviation of a student's score is 20. Choose a sample size so that the resulting 95% confidence interval for the population mean score has a margin of error no larger than 5.
- An IQ test is designed so that the mean is 100 and the standard deviation is 23 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 8 IQ points of the true mean. Assume that o = 23 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is (Round up to the nearest integer.)An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 2 IQ points of the true mean. Assume that o = 10 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is (Round up to the nearest integer.) Enter your answer in the answer box and then click Check Answer. ? 1 part remaining Check Answer 1 Clear AllAssume that a sample is used to estimate a poplulation mean. Find the 98% confidence interval for a sample of size 863 with a mean of 65.7 and a standard deviation of 19.2. Enter your answer as a tri-linear inequaliy accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).