1. Let a population be normally distributed with mean u and standard deviation o = 5....
For the provided sample mean, sample size, and population standard deviation, complete parts (a) through (c) below. Assume that x is normally distributed x= 27, n=9, 0 = 6 a. Find a 95% confidence interval for the population mean The 95% confidence interval is from to (Round to two decimal places as needed.) b. Identify and interpret the margin of error. The margin of error is (Round to two decimal places as needed.) Interpret the margin of error. Choose the...
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...
For the provided sample mean, sample size, and population standard deviation, complete parts (a) through (c) below. x= 23, n= 36, 3 = 3 a. Find a 95% confidence interval for the population mean. The 95% confidence interval is from to (Round to two decimal places as needed.) b. Identify and interpret the margin of error. The margin of error is (Round to two decimal places as needed.) Interpret the margin of error. Choose the correct answer below. O A....
(1) A population has mean u = 6 and standard deviation o = 4. Find My and for samples of size n = 25. (2) A population has mean y = 17 and standard deviation o = 20. Find My and Og for samples of size n= 90. (3) A population has mean u = 193 and standard deviation o = 42. Find My and oz for samples of size n = 64 (4) A sample of size n =...
5. Suppose X follows a normal distribution with mean u = 200 and standard deviation o = 40. Find each of the following probabilities. (8 points) a. P(160 < x < 232) b. P(X > 160) C. P(X < 100) d. P(230 < x < 284) 6. Sup Suppose we know that SAT scores have a population average u = 1080 and a standard deviation o = 200. A university wants to give merit scholarships to all students with an...
What would be the minimum sample size, taken from a normal population with standard deviation 1, to ensure we are 95% confident our estimate within .01 of the true population mean?
Suppose that pizza delivery times are normally distributed with a population standard deviation of 6 minutes. A random sample of 50 pizza delivery restaurants is taken and has a sample mean delivery time of 36 minutes. Construct a 90% confidence interval for the population mean delivery time. What is the sample mean? 6 1.87 36 1.64 What is the sample size? 8.33 90 50 36 What is the population standard deviation? 0.85 50 36 6 What is the confidence level?...
Suppose the population standard deviation is believed to be $812 and the salaries are normally distributed. Find the sample size needed to construct a 98% confidence interval to estimate the average salary of accountants, within +/- $200.
A normally distributed population has a mean of 500 and a standard deviation of 80. a. Determine the probability that a random sample of size 25 selected from this population will have a sample mean less than 463 . b. Determine the probability that a random sample of size 16 selected from the population will have a sample mean greater than or equal to 538. A company makes windows for use in homes and commercial buildings. The standards for glass...
Assume the random variable x is normally distributed with mean u 84 and standard deviation o 5. Find the indicated probability. P(x< 81) P(x <81)(Round to four decimal places as needed.)