21. The mean BMI from a random sample of 30 men is 31.3 with standard deviation...

21. The mean BMI from a random sample of 30 men is 31.3 with standard deviation ? = 4.6. Suppose the distribution of BMI is approximately normal. Construct a 95% confidence interval of the population mean BMI.

22. (5 Points) A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription painkiller. She believes that the population is normally distributed with a standard deviation of σ = 21 minutes. From a sample of 120 patients, the mean time to relieve their headaches was 63 minutes. Construct a 90% confidence interval of the population mean time.

Solutions

Expert Solution

PL??

orchestra answered 2 years ago

Next > < Previous

Related Solutions

A random sample is drawn from a population with mean μ = 70 and standard deviation...

A random sample is drawn from a population with mean μ = 70 and standard deviation σ = 5.8. [You may find it useful to reference the z table.] a. Is the sampling distribution of the sample mean with n = 17 and n = 43 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n = 17 will have...

A random sample of 32 is obtained from a population with (mean = 32) (standard deviation=...

A random sample of 32 is obtained from a population with (mean = 32) (standard deviation= 10) A) Describe the sampling distribution of the sample mean. B) Find the sample that has the 60.5th percentile C) Find the probability of the mean is between 29 and 36

A random sample is drawn from a population with mean μ = 68 and standard deviation...

A random sample is drawn from a population with mean μ = 68 and standard deviation σ = 5.7. [You may find it useful to reference the z table.] a. Is the sampling distribution of the sample mean with n = 16 and n = 41 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n = 16 will have...

A random sample is selected from a population with mean μ = 98 and standard deviation...

A random sample is selected from a population with mean μ = 98 and standard deviation σ = 10. Determine the mean and standard deviation of the x sampling distribution for each of the following sample sizes. (Round the answers to three decimal places.) (a) n = 8 μ = σ = (b) n = 18 μ = σ = (c) n = 38 μ = σ = (d) n = 55 μ = σ = (f) n = 110...

A random sample is drawn from a population with mean μ = 72 and standard deviation...

A random sample is drawn from a population with mean μ = 72 and standard deviation σ = 6.0. [You may find it useful to reference the z table.] a. Is the sampling distribution of the sample mean with n = 17 and n = 45 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n = 17 will have...

A random sample is selected from a population with mean μ = 102 and standard deviation...

A random sample is selected from a population with mean μ = 102 and standard deviation σ = 10. Determine the mean and standard deviation of the x sampling distribution for each of the following sample sizes. (Round the answers to three decimal places.) (a) n = 11 μ = σ = (b) n = 14 μ = σ = (c) n = 37 μ = σ = (d) n = 65 μ = σ = (f) n = 130...

A random sample is drawn from a population with mean μ = 74 and standard deviation...

A random sample is drawn from a population with mean μ = 74 and standard deviation σ = 6.2. [You may find it useful to reference the z table.] a. Is the sampling distribution of the sample mean with n = 18 and n = 47 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n = 18 will have...

In a sample of 51 babies, the mean weight is 21 pounds and the standard deviation...

In a sample of 51 babies, the mean weight is 21 pounds and the standard deviation is 4 pounds. Calculate a 95% confidence interval for the true mean weight of babies. Suppose we are interested in testing if the true mean weight of babies is 19.4 vs the alternative that it is not 19.4 with an alpha level of .05. Would this test be significant? Explain your answer. Perform the t test and use a t-table to get the p-value

A sample has a mean of M = 30 and a standard deviation of s =...

A sample has a mean of M = 30 and a standard deviation of s = 8. Find the z-score for each of the following X values from this sample. X = 32 X = 34 X = 36 X = 28 X = 20 X = 18

Suppose ? is a random variable with mean ?=50 and standard deviation ?=49. A random sample...

Suppose ? is a random variable with mean ?=50 and standard deviation ?=49. A random sample of size ?=38 is selected from this population. a) Find ?(?¯<49).P(X¯<49). Round your answer to four decimal places. b) Find ?(X¯≥52).P(X¯≥52). Round your answer to four decimal places. c) Find ?(49.5≤X¯≤51.5).P(49.5≤X¯≤51.5). Give your answer to four decimal places. d) Find a value ?c such that ?(X¯>?)=0.15.P(X¯>c)=0.15. Round your answer to two decimal places.

Subjects