I'm doing my review for stats, have the test later this week and going over the review I have a few questions since we don't have the answer sheet about the problems we've been working on. Was wondering if anyone could tell me if I got the right answer or not?
Suppose a random sample of size n = 25 from a normal population has a sample mean of x = 2:3 and a sample standard deviation of s = 1:1. (Assume the sample is not large enough to apply the central limit theorem.)
a.)Find a 99% confidence interval for the population mean μ.
I got the interval at (1.68466, 2.91534)
b.)Test the claim that actual mean is μ = 3 against the counter-claim that μ ≠ 3 at a significance level of α= .01.
I got a T-score of -3.182, and a P-value of .004 rounded three decimal places so the null hypothesis is rejected.
Assume that the data in Problem 1 is normally distributed, and test the claim that means of the x-population and the y-population are equal (i.e. that their difference is zero) against the counter-claim that the means are not equal at the α = .01 significance level.
x 5.04, 1.90, 2.45, 6.82, 6.91, 1.01, 5.38, 3.29
y 8.01, 0.23, 1.58, 12.46, 12.68, -1.99, 8.87, 3.66
Long problem short, got a p-value of .476 so null hypothesis was not rejected since there was not sufficient evidence at the .01 level of significance.
Suppose a random sample of size n = 25 from a normal population has a sample mean of x = 2:3 and a sample standard deviation of s = 1:1. (Assume the sample is not large enough to apply the central limit theorem.)
a.)Find a 99% confidence interval for the population mean μ.
I got the interval at (1.68466, 2.91534)
b.)Test the claim that actual mean is μ = 3 against the counter-claim that μ ≠ 3 at a significance level of α= .01.
I got a T-score of -3.182, and a P-value of .004 rounded three decimal places so the null hypothesis is rejected.
Assume that the data in Problem 1 is normally distributed, and test the claim that means of the x-population and the y-population are equal (i.e. that their difference is zero) against the counter-claim that the means are not equal at the α = .01 significance level.
x 5.04, 1.90, 2.45, 6.82, 6.91, 1.01, 5.38, 3.29
y 8.01, 0.23, 1.58, 12.46, 12.68, -1.99, 8.87, 3.66
Long problem short, got a p-value of .476 so null hypothesis was not rejected since there was not sufficient evidence at the .01 level of significance.