A random sample of ?n measurements was selected from a population with unknown mean ?μ and standard deviation ?σ. Calculate a 95% confidence interval for ?μ for each of the following situations: (a)    n=24, x¯=66, s=2.92 ≤μ≤ (b)  n=28,  x¯=53.2, s=3.33 ≤μ≤ (c) n=17, x¯=12.4, s=3.6 ≤μ≤

A sample of size n=49 is drawn from a popular whose standard deviation is q=4.8. a. Find the margin of error for a 95% confidence interval for "u". b. If the sample size were n=60, would the margin of error be larger or smaller?

Suppose a randomly selected sample of n = 62 men has a mean foot length of x = 28 cm, and the standard deviation of the sample is 2 cm. Calculate an approximate 95% confidence interval for the mean foot length of men. (Round the answers to one decimal place.) In the study, n = 45 men were put on a diet. The men who dieted lost an average of 5.6 kg, with a standard deviation of 3.6 kg. (a) Compute the standard error of the mean for the men who dieted. (Round the answer to two decimal places.)kg(b) Compute an approximate 95% confidence interval for the mean weight loss for the men who dieted. (Round your answer to the nearest hundredth.)An approximate 95% confidence interval is to kg

4. The resilient moduli of 10 samples of a clay mixture are measured and the sample mean is x = 19.50. If an experimenter wishes to use a "known" value o = 1.0 for the standard deviation of the resilient modulus measurements based upon prior experience, construct appropriate 90%, 95%, and 99% two-sided confidence intervals for the average resilient modulus µ. Compare the lengths of the confidence intervals. Do you think it is plausible that the average resilient modulus is equal to 20.0?

Which alternative hypotheses will allow you to determine statistical significance at α = 0.05 using a 95% confidence interval?   H a: μ = 30 H a: μ > 30 H a: μ ≠ 30 H a: μ <30

A recent survey of 1050 U.S. adults selected at random showed that 647 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.