A random sample of n measurements was selected from a population with unknown mean mu and standard deviation sigma=30 for each of the situations in parts a through d. Calculate a 90% confidence interval for mu for each of these situations.
a. n=60, overbar x= 27
b. n=250, overbar x=113
c. n=80, overbar x= 13
d. n=80, overbar x= 4.56
e. Is the assumption that the underlying population of measurements is normally distributed necessary to ensure the validity of the confidence intervals in parts a through d? Explain.
A random sample of n measurements was selected from a population with unknown mean mu and...
If there is a recommended calculator or excel/ti-calculator formula please provide. Thanks! A random sample of n measurements was selected from a population with unknown mean u and standard deviation o = 15 for each of the situations in parts a through d. Calculate a 99% confidence interval for u for each of these situations. a. n=50, x=31 b. n=250, x= 112 c. n= 120, x = 16 d. n= 120, x=5.21 e. Is the assumption that the underlying population...
Suppose a random sample of nequals25 measurements is selected from a population with mean mu and standard deviation sigma. For each of the following values of mu and sigma, give the values of mu Subscript x overbar and sigma Subscript x overbar Baseline . a. muequals12, sigmaequals5 b. muequals144, sigmaequals25 c. muequals24, sigmaequals20 d. muequals12, sigmaequals110
A random sample of n measurements was selected from a population with unknown mean μ and standard deviation σ = 35 for each of the situations in parts a through d. Calculate a 99% confidence interval for μ for each of these situations. a. n = 75, x = 20 Interval: ( _____, _____ ) b. n = 150, x = 104 Interval: ( _____, _____ ) c. n = 90, x = 16 Interval: ( _____, _____ ) d....
Suppose a random sample of nequals=100100 measurements is selected from a population with mean muμ and standard deviation sigmaσ. For each of the following values of muμ and sigmaσ, give the values of mu Subscript x overbarμx and sigma Subscript x overbar Baseline .and σx. a. muμequals=5, sigmaσequals=2 b. muμequals=25, sigmaσequals=100 c. muμequals=10 sigmaσequals=80 d. muμequals=5, sigmaσequals=190 a. mu Subscript x overbarμxequals=55 sigma Subscript x overbarσxequals=2.2 (Type an integer or a decimal.) Both of your answers are incorrect. For a...
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x overbar x, is found to be 107, and the sample standard deviation, s, is found to be 10. (a) Construct a 98% confidence interval about mu μ if the sample size, n, is 18. (b) Construct a 98% confidence interval about mu μnif the sample size, n, is 12. c) Construct a 96% confidence interval about mu μ if...
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x overbar, is found to be 108, and the sample standard deviation, s, is found to be 10. (a) Construct a 95% confidence interval about mu if the sample size, n, is 25. (b) Construct a 95% confidence interval about mu if the sample size, n, is 12. (c) Construct a 70% confidence interval about mu if the sample size, n,...
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x overbar x, is found to be 108, and the sample standard deviation, s, is found to be 10. (a) Construct a 95% confidence interval about mu μ if the sample size, n, is 12. (b) Construct a 95% confidence interval about mu μ if the sample size, n, is 23. (c) Construct a a 96 96% confidence...
Suppose a random sample of n= 16 measurements is selected from a population with mean μ and standard deviation σ. For each of the following values of μ and σ, give the values of mu Subscript x over bar μ x and sigma Subscript x overbar Baseline .and σx. a. μ=5, σ=3 b. μ=25 σ=16 c. μ =10, σ=32 d. μ=55, σ=84 a. mu Subscript x over bar μ x= sigma Subscript x over bar σ x=_______(Type an integer or...
Suppose a random sample of n=64 measurements is selected from a population with mean μ and standard deviation σ. For each of the following values of μ and σ, give the values of mu Subscript x overbarμx and sigma Subscript x overbar Baseline .and σx. a. μ =11, σ=22 b. μ=121 σ=64 c. μ=22 σ=32 d. μ=11 σ=160 a. mu Subscript x over bar μ=_________ sigma Subscript x over bar σx=n_______(Type an integer or a decimal.) b. mu Subscript x...
A simple random sample of size nequals64 is obtained from a population with muequals43 and sigmaequals8. Does the population need to be normally distributed for the sampling distribution of x overbar to be approximately normally distributed? Why? What is the sampling distribution of x overbar? Does the population need to be normally distributed for the sampling distribution of x overbar to be approximately normally distributed? Why? A. Yes because the Central Limit Theorem states that only for underlying populations that...