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25> Consider a variable known to be Normally distributed with unknown mean μ and known standard...
Question 2 2 marks A population is normally distributed with an unknown mean μ and unknown...
Question 2 2 marks A population is normally distributed with an unknown mean μ and unknown standard deviation σ. You collect a random sample of 24 measurements with sample mean7-55.9 and standard deviation-7.53. Use this information to answer the questions below (a) [0.5 mark] What is your 95% confidence İnterval for the population mean μ? (b) [1 mark] what is your best estimate for the population standard deviation σ? (c) [0.5 mark] If a fellow enginer tells you that the...
Suppose scores of a standardized test are normally distributed and have a known population standard deviation...
Suppose scores of a standardized test are normally distributed and have a known population standard deviation of 8 points and an unknown population mean. A random sample of 25 scores is taken and gives a sample mean of 93 points. Find the margin of error for a confidence interval for the population mean with a 98% confidence level. z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576 You may use a calculator or the common z values above. Round...
Suppose the speeds of vehicles traveling on a highway are normally distributed and have a known...
Suppose the speeds of vehicles traveling on a highway are normally distributed and have a known population standard deviation of 7 miles per hour and an unknown population mean. A random sample of 32 vehicles is taken and gives a sample mean of 64 miles per hour Find the margin of error for the confidence interval for the population mean with a 98% confidence level Z005 Z0.025 Z0.0 Z0.005 0.10 1.282 1.645 1.960 2.326 2.576 You may use a calculator...
Q12. a) Suppose the given confidence interval estimates the true population mean as 3.5<μ<13.1 with a...
Q12. a) Suppose the given confidence interval estimates the true population mean as 3.5<μ<13.1 with a 95% level of confidence when σ is known. (i) Find the point estimates for the unknown population mean. (ii) Find the margin of error. (iii) Give the interpretation of the confidence interval. (iv) Name two ways of decreasing the width of the confidence interval. b) State the assumptions necessary for linear regression model Y=A+Bx+ε c) Let p^ be a sample proportion based on a...
Let X be a normally distributed random variable with expected value and standard deviation 5. being...
Let X be a normally distributed random variable with expected value and standard deviation 5. being 60 and 20, respectively. Let X, be the sample mean of a random sample of size n from X. A random sample of size 25 from X is given in the following table: 84.75534 37.3332 56.2749 27.09361 63.11717 46.38288 73.65585 50.46811 44.61746 91.7605 78.05359 33.82873 86.2026 51.86157 75.01817 52.57203 19.59978 80.21883 72.44076 42.92938 68.02203 68.10625 61.5187 81.53383 60.46798 (i) Determine a 95% confidence interval...
Answers only is okay! Construct the indicated confidence interval for the population mean μ using the...
Answers only is okay! Construct the indicated confidence interval for the population mean μ using the t-distribution. Assume the population is normally distributed. c=0.99, x=13.1, s=3.0, n= 6 Construct the indicated confidence interval for the population mean μ using the t-distribution. Assume the population is normally distributed. c=0.95, x=14.5, s=0.55, n= 15 Use the given confidence interval to find the margin of error and the sample mean. (12.7,19.9The sample mean is In a random sample of 18 people, the mean...
2. Consider a large population with mean μ and known standard deviation σ = 5. There are two inde...
2. Consider a large population with mean μ and known standard deviation σ = 5. There are two independent simple random samples of this population, one with n 150, and the other with n2 = 400, Denote the two sample means by , and X2, respectively. Let Cli and C12 be the usual 95% confidence intervals, constructed from each of the two samples. What is the probability that at the same time, X E CI2 and X2 E CI?
2....
The pages per book in a library are normally distributed with an unknown population mean. A...
The pages per book in a library are normally distributed with an unknown population mean. A random sample of books is taken and results in a 95% confidence interval of (237,293) pages. What is the correct interpretation of the 95% confidence interval? Select the correct answer below: We estimate with 95% confidence that the sample mean is between 237 and 293 pages. We estimate that 95% of the time a book is selected, there will be between 237 and 293...
Suppose that the wait times for patients in an emergency room are normally distributed with an...
Suppose that the wait times for patients in an emergency room are normally distributed with an unknown mean and standard deviation. A random sample of 18 patients is taken and gives a sample mean of 25 minutes and a sample standard deviation of 2 minutes. As found above, the EBM, margin of error, for a 95% confidence interval estimate for the population mean using the Student's t-distribution is 0.99. Find a 95% confidence interval estimate for the population mean using...
The life in hours of a 75-watt light bulb is known to be normally distributed with...
The life in hours of a 75-watt light bulb is known to be normally distributed with = 23 hours. A random sample of 20 bulbs has a mean life of X= 1011 hours. Suppose that we wanted the margin of error in estimating the mean life from the two-sided confidence interval to be five hours at 95% confidence. What sample size should be used? Round up the answer to the nearest integer. Statistical Tables and Charts
Question 2 2 marks A population is normally distributed with an unknown mean μ and unknown standard deviation σ. You collect a random sample of 24 measurements with sample mean7-55.9 and standard deviation-7.53. Use this information to answer the questions below (a) [0.5 mark] What is your 95% confidence İnterval for the population mean μ? (b) [1 mark] what is your best estimate for the population standard deviation σ? (c) [0.5 mark] If a fellow enginer tells you that the...
Suppose the speeds of vehicles traveling on a highway are normally distributed and have a known population standard deviation of 7 miles per hour and an unknown population mean. A random sample of 32 vehicles is taken and gives a sample mean of 64 miles per hour Find the margin of error for the confidence interval for the population mean with a 98% confidence level Z005 Z0.025 Z0.0 Z0.005 0.10 1.282 1.645 1.960 2.326 2.576 You may use a calculator...
Let X be a normally distributed random variable with expected value and standard deviation 5. being 60 and 20, respectively. Let X, be the sample mean of a random sample of size n from X. A random sample of size 25 from X is given in the following table: 84.75534 37.3332 56.2749 27.09361 63.11717 46.38288 73.65585 50.46811 44.61746 91.7605 78.05359 33.82873 86.2026 51.86157 75.01817 52.57203 19.59978 80.21883 72.44076 42.92938 68.02203 68.10625 61.5187 81.53383 60.46798 (i) Determine a 95% confidence interval...
2. Consider a large population with mean μ and known standard deviation σ = 5. There are two independent simple random samples of this population, one with n 150, and the other with n2 = 400, Denote the two sample means by , and X2, respectively. Let Cli and C12 be the usual 95% confidence intervals, constructed from each of the two samples. What is the probability that at the same time, X E CI2 and X2 E CI?
2....
The life in hours of a 75-watt light bulb is known to be normally distributed with = 23 hours. A random sample of 20 bulbs has a mean life of X= 1011 hours. Suppose that we wanted the margin of error in estimating the mean life from the two-sided confidence interval to be five hours at 95% confidence. What sample size should be used? Round up the answer to the nearest integer. Statistical Tables and Charts
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