# Question

Are the following statements true or false? Explain your reasoning.

a. "If we see a standardized z-value beyond 63, the variable cannot be normally distributed."

b. "If X and Y are two normally distributed random variables measured in different units (e.g., X is in pounds and Y is in kilograms), then it is not meaningful to compare the standardized z-values."

c. "Two machines fill 2-liter soft drink bottles by using a similar process. Machine A has μ = 1,990 ml and σ = 5 ml while Machine B has μ = 1,995 ml and σ = 3 ml. The variables cannot both be normally distributed since they have different standard deviations."

a. "If we see a standardized z-value beyond 63, the variable cannot be normally distributed."

b. "If X and Y are two normally distributed random variables measured in different units (e.g., X is in pounds and Y is in kilograms), then it is not meaningful to compare the standardized z-values."

c. "Two machines fill 2-liter soft drink bottles by using a similar process. Machine A has μ = 1,990 ml and σ = 5 ml while Machine B has μ = 1,995 ml and σ = 3 ml. The variables cannot both be normally distributed since they have different standard deviations."

## Answer to relevant Questions

John can take either of two routes (A or B) to LAX airport. At midday on a typical Wednesday the travel time on either route is normally distributed with parameters μA = 54 minutes, σA = 6 minutes, μB = 60 minutes, and ...Among live deliveries, the probability of a twin birth is .02. (a) In 2,000 live deliveries, what is the probability of at least 50 twin births? (b) Fewer than 35? Use the sample information x-bar = 37, σ = 5, n = 15 to calculate the following confidence intervals for assuming the sample is from a normal population: (a) 90 percent confidence; (b) 95 percent confidence; (c) 99 percent ...Find the standard error of the mean for each sampling situation (assuming a normal population). What happens to the standard error each time you quadruple the sample size? a. σ = 24, n = 9 b. σ = 24, n = 36 c. σ = 24, n = ...Calculate the standard error of the sample proportion. a. n = 30, π = .50 b. n = 50, π = .20 c. n = 100, π = .10 d. n = 500, π = .005Post your question

0