13. Explain why the null hypothesis Upper H 0 : mu 1 equals mu 2 is equivalent to the null hypothesis Upper H 0 : mu 1 minus mu 2 equals 0. Choose the correct answer below. A. They are equivalent through algebraic manipulation. B. They are equivalent because the null hypothesis, Upper H 0, is always assumed to be true. C. By definition, the null hypothesis is always equal to 0. Therefore, these hypotheses are equivalent. D. The values of mu 1 and mu 2 are equivalent in every population. Therefore, these hypotheses are equivalent.
They are equivalent because it is only an algebraic manipulation by taking mu 2 on the right side.
Option A is correct.
13. Explain why the null hypothesis Upper H 0 : mu 1 equals mu 2 is...
Consider the hypotheses below. Upper H 0: mu equals 50 Upper H 1: mu not equals 50 Given that x overbar equals 53, s equals 8, nequals20, and alphaequals0.01, answer the questions below. a. What conclusion should be drawn? b. Use technology to determine the p-value for this test. a. Determine the critical value(s). The critical value(s) is(are) ___?
Assume that both populations are normally distributed. (a) Test whether mu 1 not equals mu 2 at the alpha equals 0.05 level of significance for the given sample data. (b) Construct a 95% confidence interval about mu 1 minus mu 2. Population 1 Population 2 n 15 15 x overbar 18 20.3 s 4.3 4.4 (a) Test whether mu 1 not equals mu 2 at the alpha equals 0.05 level of significance for the given sample data. Determine the null...
Examine the given statement, then express the null hypothesis Upper H 0 and the alternative hypothesis Upper H 1 in symbolic form. The mean weight of women who won a beauty pageant is equal to 119 lb. Which of the following is the hypothesis test to be conducted? A. Upper H 0: muequals119 Upper H 1: muless than119 B. Upper H 0: muequals119 Upper H 1: munot equals119 C. Upper H 0: muless than119 Upper H 1: muequals119 D. Upper...
Consider the following hypothesis statement using alpha equals0.05 and data from two independent samples. Assume the population variances are equal and the populations are normally distributed. Complete parts a and b. Upper H 0 : mu 1 minus mu 2 equals 0 x overbar 1 equals 14.7 x overbar 2 equals 12.0 Upper H 1 : mu 1 minus mu 2 not equals 0 s 1 equals 2.7 s 2 equals 3.3 n 1 equals 20 n 2 equals 15...
The data to the right show the average retirement ages for a random sample of workers in Country A and a random sample of workers in Country B. Complete parts a and b. Country A Country B Sample mean 0064.9 years 0067.5 years Sample size 0030 0030 Population standard deviation 0004.4 years 0005.2 years nbsp a. Perform a hypothesis test using alpha equals0.05 to determine if the average retirement age in Country B is higher than it is in Country...
Consider the following hypothesis statement using alpha =0.01and data from two independent samples. Assume the population variances are not equal and the populations are normally distributed. Complete parts a and b. Upper H 0 : mu1 - mu 2= 0 x overbar 1= 116.5 x overbar 2 = 121.0 Upper H 1 : mu 1 - mu 2 not equals 0 s 1 = 25.7 s 2 = 15.4 n 1 = 14 n 2 = 21 a. Calculate the...
Suppose a student organization at a university collected data for a study involving class sizes from different departments. The following table shows the average class size from a random sample of classes in the business school vs. the average class size from a random sample of classes in the engineering school. Data for the sample sizes and standard deviations are also shown. Use this data to complete parts a through c. Business Engineering Sample mean 38.5 31.2 Sample standard deviation...
1.)What is the p-value if, in a two-tail hypothesis test, Upper Z Subscript STAT Baseline equals negative 2.29? (ROUND FOUR DECIMAL PLACES) 2.) If you use a 0.05 level of significance in a (two-tail) hypothesis test, what will you decide if ZSTATequals=+1.93. Determine the decision rule. Select the correct choice below and fill in the answer box(es) within your choice. (Round to THREE decimal places as needed.) A.Reject H0 if ZSTAT<−( ) or ZSTAT>+( ) B.Reject H0 if ZSTAT <−(...
A certain drug can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than 94% of patients taking the drug are healed within 8 weeks. In clinical trials, 223 of 235 patients suffering from acid reflux disease were healed after 8 weeks. Test the manufacturer's claim at the alpha equals 0.05 level of significance. Choose answers from the parenthesis when needed....
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...