Question

In: Statistics and Probability

Using the simple random sample of weights of women from a data​ set, we obtain these...

Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: n=50 and x overbar=142.71 lb. Research from other sources suggests that the population of weights of women has a standard deviation given by sigma=31.7631.76 lb.

a. Find the best point estimate of the mean weight of all women.

b. Find a 90​% confidence interval estimate of the mean weight of all women.

Solutions

Expert Solution

Solution :

Given that,

= 142.71

= 31.76

n = 50

(a) best point estimate of the mean = 142.71

(b)At 90% confidence level the z is ,

= 1 - 90% = 1 - 0.90 = 0.10

/ 2 = 0.10 / 2 = 0.05

Z/2 = Z0.05 = 1.645

Margin of error = E = Z/2* ( /n)

= 1.645 * (31.76 / 50)

= 7.3886

At 90% confidence interval estimate of the population mean is,

- E < < + E

142.71 -7.3886 < < 142.71 +7.3886

135.3214< < 150.0986

(135.3214 , 150.0986)

orchestra answered 3 years ago
Next > < Previous

Related Solutions

Using the simple random sample of weights of women from a data​ set, we obtain these...
Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: the sample size is 40 and the sample mean was 151.83 pounds. Research from other sources suggests that the population of weights of women has a standard deviation of 30.43 pounds. Find the 90% confidence interval estimate of the mean weight of all women.
Using the simple random sample of weights of women from a data set, we obtain these...
Using the simple random sample of weights of women from a data set, we obtain these sample statistics: n=50and xbar=140.23lb. Research from other sources suggests that the population of weights of women has a standard deviation given by σ=32.31 lb. a. Find the best point estimate of the mean weight of all women. b. Find a 99 % confidence interval estimate of the mean weight of all women.
Using the simple random sample of weights of women from a data​ set, we obtain these...
Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: n=45 and x over bar=144.44 lb. Research from other sources suggests that the population of weights of women has a standard deviation given by sigma=30.15 lb. The best point estimate is ____lb The 95% confidence interval estimate is ___lb<μ<___lb
Using the simple random sample of weights of women from a data​ set, we obtain these...
Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: nequals=4040 and x overbarxequals=147.53 lb. Research from other sources suggests that the population of weights of women has a standard deviation given by sigmaσequals=32.57 lb. a. Find the best point estimate of the mean weight of all women. b. Find a 95% confidence interval estimate of the mean weight of all women.
Using the simple random sample of weights of women from a data​ set, we obtain these...
Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: n equals = 35 and x =146.25 lb. Research from other sources suggests that the population of weights of women has a standard deviation given by sigma σ equals = 30.78 lb. a. Find the best point estimate of the mean weight of all women. b. Find a 95​% confidence interval estimate of the mean weight of all women.
The weights of a random sample of 121 women between the ages of 25 and 34...
The weights of a random sample of 121 women between the ages of 25 and 34 had a standard deviation of 12 pounds. The weights of 121 women between the ages of 55 and 64 had a standard deviation 15 pounds. Test the claim that the older women are from a population with a standard deviation greater than that for women in the 25 to 34 age group. Use α = 0.05.
Consider class data set to represent a simple random sample of the student. Construct the confidence...
Consider class data set to represent a simple random sample of the student. Construct the confidence intervals required and also write sample statistics calculated for each. a) Calculate the 9% t-confidence interval for the mean pulse of all the student B) Calculate the 95%confidence interval for the true proportion of all student who are registered Voter Reg    Pulse Rate 64 75 74 65 72 72 60 66 60 69 89 64 71 50 80 80 62 85 60 65...
​​​​ A simple random sample of birth weights in the United States has a mean of...
​​​​ A simple random sample of birth weights in the United States has a mean of 3433g. The standard deviation of all birth weights (for the population) is 495g. If this data came from a sample size of 75, construct a 95% confidence interval estimate of the mean birth weight in the United States. If this data came from a sample size of 7,500, construct a 95% confidence interval estimate of the mean birth weight in the United States. Which...
A simple random sample of pulse rates of 20 women from a normally distributed population results...
A simple random sample of pulse rates of 20 women from a normally distributed population results in a standard deviation of 12.2beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal​ range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.01 significance level to test the claim that pulse...
A simple random sample of pulse rates of 60 women from a normally distributed population results...
A simple random sample of pulse rates of 60 women from a normally distributed population results in a standard deviation of 12.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal​ range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.01 significance level to test the claim that...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT