Identify the null and alternative hypothesis and find the critical t-value(s), t0, and the rejection region(s) for a t-test to test the claim that μ1 ≠ μ2. Assume that the variance is equal between the populations and use α = 0.10. Assume n1 = 50 and n2 = 45.
H0:
Ha:
T0 =
Rejection Region =
Identify the null and alternative hypothesis and find the critical t-value(s), t0, and the rejection region(s)...
Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance a, and sample sizes n1 and n2. Assume that the samples are independent, normal, and random Answer parts (a) and (b) Ha H1H2, 0.005, n1 12, n2 10 (a) Find the critical value(s) assuming that the population variances are equal. Construct a 90% confidence interval for -H2 with the Bakery A Bakery B sample statistics for mean calorie content of two bakeries specialty...
3) Use critical values to test the null hypothesis H0: μ1 − μ2 = 20 versus the alternative hypothesis Ha: μ1 − μ2 ≠ 20 by setting α equal to .05. How much evidence is there that the difference between μ1 and μ2 is not equal to 20?
2) Use critical values and p-values to test the null hypothesis H0: μ1 − μ2 ≤ 20 versus the alternative hypothesis Ha: μ1 − μ2 > 20 by setting α equal to .10. How much evidence is there that the difference between μ1 and μ2 exceeds 20?
Find the critical values, t0, to test the claim that μ1 = μ2. Two samples are random, independent, and come from populations that are normal. The sample statistics are given below. Assume that σ 2 1 ≠ σ 2 2 . Use α = 0.05. n1 = 32 n2 = 30 x1 = 16 x2 = 14 s1 = 1.5 s2 = 1.9
Find the critical value, t 0 t0, to test the claim that mu 1 μ1 not equals ≠ mu 2 μ2. Two samples are randomly selected and come from populations that are normal. The sample statistics are given below. Assume that sigma Subscript 1 Superscript 2 σ21 not equals ≠ sigma Subscript 2 Superscript 2 σ22. Use alpha equals 0.02 . Use α=0.02. n 1 n1 equals =11, n 2 n2 equals =18, x overbar 1 x1 equals = 8.6...
(b) Use technology to find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic, t. (d) Decide whether to reject or fail to reject the null hypothesis. (e) Interpret the decision in the context of the original claim. 7.3.23-T Question Help Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.33 parts per million. It was found that the mean amount of cartxon monoxide in...
Suppose we have taken independent, random samples of sizes n1 = 7 and n2 = 7 from two normally distributed populations having means μ1 and μ2, and suppose we obtain x1=240, x2=210, s1=5, and s2 = 6 Use critical values and p-values to test the null hypothesis H0: μ1 − μ2 ≤ 20 versus the alternative hypothesis Ha: μ1 − μ2 > 20 by setting α equal to .10. How much evidence is there that the difference between μ1 and...
A magazine claims that the mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World. The results for samples of customer transactions for the two fast food restaurants are shown below. At alphaαequals=0.05 can you support the magazine's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. Burger Stop Fry World...
Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. Male BMI Female BMI μ μ1 μ2 n 45 45 x 27.3958 24.7599 s 7.837628 4.750044 a. Test the claim that males and females have...
Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance alphaα,and sample sizes n1and n2. Assume that the samples are independent, normal, and random. Answer parts (a) and (b). Ha: u1 2μ1≠μ2, alphaα=0.20 n1=10, n2=2 (b) Find the critical value(s) assuming that the population variances are not equal.