Question

In: Statistics and Probability

Use the given degree of confidence and sample data to construct a confidence interval for the...

Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ. Assume that the population has a normal distribution.

a. A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185

milligrams with s = 17.6 milligrams. Construct a 99% confidence interval for the true mean

cholesterol content of all such eggs.

b. Suppose 60 eggs were tested. How would your calculation be altered? Construct a 99% CI for the mean cholesterol content, leaving all other values unchanged.

Solutions

Expert Solution

a)

b )


Related Solutions

Use the given degree of confidence and sample data to construct a confidence interval for the...
Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ. Assume that the population has a normal distribution. A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with s = 17.6 milligrams. Construct a 95% confidence interval for the true mean cholesterol content of all such eggs.
Use the given degree of confidence and sample data to construct a confidence interval for the...
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. n = 25, x = 10; 95% confidence.
Use the given degree of confidence and sample data to construct a confidence interval for the...
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Round to three decimal places. nequals70?, xequals16?; ?95% confidence A. 0.141less thanpless than0.316 B. 0.130less thanpless than0.327 C. 0.125less thanpless than0.332 D. 0.146less thanpless than0.311
Use the given degree of confidence and sample data to construct a confidence interval for the...
Use the given degree of confidence and sample data to construct a confidence interval for the population mean mu . Assume that the population has a normal distribution. Thirty randomly selected students took the calculus final. If the sample mean was 95 and the standard deviation was​ 6.6, construct a​ 99% confidence interval for the mean score of all students.
Use the given degree of confidence and sample data to construct a confidence interval for the...
Use the given degree of confidence and sample data to construct a confidence interval for the population mean µ. Assume that the population has a normal distribution. Show your work n = 30, x bar = 89.3, s = 18.9, 90 percent
Use the given degree of confidence and sample data to construct a confidence interval for the...
Use the given degree of confidence and sample data to construct a confidence interval for the population mean µ. The data below consists of the test scores of 32 students. Construct a 99% confidence interval for the population 80 74 61 93 96 70 80 64 51 98 93 87 72 77 84 96 100 67 71 79 99 85 66 70 57 75 86 92 94 61 80 99
Use the given degree of confidence and sample data to construct a confidence interval for the...
Use the given degree of confidence and sample data to construct a confidence interval for the population mean µ. Assume that the population has a normal distribution. n = 10, x = 12.8, s = 2.8, 95 percent
Use the given degree of confidence and sample data to construct a confidence interval for the...
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. nequals=​56, xequals=​30; ​95% confidence A. 0.426less than<pless than<0.646 B. 0.405less than<pless than<0.666 C. 0.425less than<pless than<0.647 D. 0.404less than<pless than<0.668
Use the given degree of confidence and sample data to construct a confidence interval for the...
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Of 125 adults selected randomly from one town, 31 of them smoke. Construct a 99% confidence interval for the true percentage of all adults in the town that smoke.n
Use the given degree of confidence and sample data to construct a confidence interval for the...
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. nequals​195, xequals​162; ​95% confidence A. 0.778less thanpless than0.883 B. 0.788less thanpless than0.873 C. 0.777less thanpless than0.884 D. 0.789less thanpless than0.873
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT