# Question: Random sampling from two normal populations produced the following results

Random sampling from two normal populations produced the following results:

a. Can we infer at the 5% significance level that μ1 is greater than μ2?

b. Repeat part (a) decreasing the standard deviations to s1 = 31 and s2 = 16.

c. Describe what happens when the sample standard deviations get smaller.

d. Repeat part (a) with samples of size 20.

e. Discuss the effects of decreasing the sample size.

f. Repeat part (a) changing the mean of sample 1 to x̄1 = 409

g. Discuss the effect of decreasing x̄1.

a. Can we infer at the 5% significance level that μ1 is greater than μ2?

b. Repeat part (a) decreasing the standard deviations to s1 = 31 and s2 = 16.

c. Describe what happens when the sample standard deviations get smaller.

d. Repeat part (a) with samples of size 20.

e. Discuss the effects of decreasing the sample size.

f. Repeat part (a) changing the mean of sample 1 to x̄1 = 409

g. Discuss the effect of decreasing x̄1.

**View Solution:**## Answer to relevant Questions

For each of the following, determine the number of degrees of freedom assuming equal population variances and unequal population variances.a. n1 = 15, n2 = 15, s21 = 25, s22 = 15b. n1 = 10, n2 = 16, s21 = 100, s22 = 15c. n1 ...A growing concern among fans and owners is the amount of time to complete a major league baseball game. To assess the extent of the problem, a statistician recorded the amount of time (in minutes) to complete a random sample ...The president of a company that manufactures automobile air conditioners is considering switching his supplier of condensers. Supplier A, the current producer of condensers for the manufacturer, prices its product 5% higher ...Between Wendy’s and McDonald’s, which fast-food drive-through window is faster? To answer the question, a random sample of service times for each restaurant was measured. Can we infer from these data that there are ...Diners at a restaurant were informed on entering that they would be receiving a free glass of wine, which they were told was Cabernet Sauvignon. However, it was not. It was a cheap wine sold for $2 a bottle, popularly known ...Post your question