Q1: A population distribution is approximated by normal with known standard deviation 20. Determine the p-value...

Q1: A population distribution is approximated by normal with known standard deviation 20. Determine the p-value of a test of the hypothesis that the population mean is equal to 50, if the average of a sample of 64 observations is 55.

Solutions

Expert Solution

p = 0.0455

orchestra answered 1 year ago

Next > < Previous

Related Solutions

For a population with a normal distribution with mean 23.5 and a standard deviation 2.6, determine...

For a population with a normal distribution with mean 23.5 and a standard deviation 2.6, determine the following. (a) About 68% of the population lies between what limits? (b) About 95% of the population lies between what limits? (c) About 99.7% of the population lies between what limits

A random sample of size 16 from a normal distribution with known population standard deviation �...

A random sample of size 16 from a normal distribution with known population standard deviation � = 3.1 yields sample average � = 23.2. What probability distribution should we use for our sampling distributions of the means? a) Normal Distribution b) T-distribution c) Binomial Distribution d) Poisson Distribution What is the error bound (error) for this sample average for a 90% confidence interval? What is the 90% confidence interval for the population mean?

Consider a normal population distribution with the value of σ known.

Consider a normal population distribution with the value of σ known.(a) What is the confidence level for the interval \(\bar{x} \pm 2.81 \sigma / \sqrt{n} ?\) (Round your answer to one decimal place.) \(\%\)(b) What is the confidence level for the interval \(\bar{x} \pm 1.43 \sigma / \sqrt{n} ?\) (Round your answer to one decimal place.) \(\%\)(c) What value of \(z_{\alpha / 2}\) in the CI formula below results in a confidence level of \(99.7 \% ?\) (Round your answer...

A confidence interval for the population mean when the population follows the normal distribution and the population standard deviation is known is computed by? Provide examples.

Question 3 A confidence interval for the population mean when the population follows the normal distribution and the population standard deviation is known is computed by? Provide examples. Question 6 What are the factors that determine the sample size? How is sample size calculated for estimating the population mean? Provide examples

Scores on an aptitude test are known to follow a normal distribution with a standard deviation...

Scores on an aptitude test are known to follow a normal distribution with a standard deviation of 32.4 points. A random sample of 12 test scores had a mean score of 189.7 points. Based on the sample results, a confidence interval for the population mean is found extending from 171.4 to 208 points. Find the confidence level of this interval. Margin of Error (ME)= ? Z-Score (Z-a/2)= ? Confidence Level= ?

A population has a normal distribution with a mean of 51.4 and a standard deviation of...

A population has a normal distribution with a mean of 51.4 and a standard deviation of 8.4. Assuming n/N is less than or equal to 0.05, the probability, rounded to four decimal places, that the sample mean of a sample size of 18 elements selected from this population will be more than 51.15 is?

A population has a normal distribution with a mean of 51.5 and a standard deviation of...

A population has a normal distribution with a mean of 51.5 and a standard deviation of 9.6. Assuming , the probability, rounded to four decimal places, that the sample mean of a sample of size 23 elements selected from this populations will be more than 51.15 is:

For normal population with known standard deviation, the x% confidence interval for the population mean µ...

For normal population with known standard deviation, the x% confidence interval for the population mean µ has a lower end point (z times the standard error) below the sample mean and a upper end point (z times the standard error) above the sample mean. That is, the x% CI is given as Sample mean ± z *standard error For 95% CI, the value for z is Answer 1Choose...2.581.6451.280.9751.96 For 80% CI, the value for z is Answer 2Choose...2.581.6451.280.9751.96 For 90%...

Write mu for the mean of a Normal distribution. The value of the standard deviation is...

Write mu for the mean of a Normal distribution. The value of the standard deviation is unknown. We want to test H0: mu = 8 vs H1: mu > 8. A random sample of 15 observations is taken from this distribution, and the sample mean (x-bar) and sample standard deviation (s) are calculated. Then t = (x-bar - 8)/[s/square_root(15)] is calculated, and is found to equal = 1.85. At what levels of significance could we reject H0

A population of values has a normal distribution with mean of 165.7 and standard deviation of...

A population of values has a normal distribution with mean of 165.7 and standard deviation of 60.2. a) Get the z-score for a value of 163. For this problem you use the z score formula z=x−μσz=x-μσ b) This z-score tells you how many the score of 163 is above or below the population mean μμ . c) Find the probability that a randomly selected value is greater than 163. Part 2 A population of values has a normal distribution with mean...

Subjects