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- A U.S. Food Survey showed that Americans routinely eat beef in their diet. Suppose that in a study of 49 consumers in Illinois and 64 consumers in Texas the following results were obtained from two samples regarding average yearly beef consumption: Illinois Texas = 49 = 64 = 54.1lb = 60.4lb S1 = 7.0 S2 = 8.0 Formulate a hypothesis so that, if the null hypothesis is rejected, we can conclude that the average amount of beef eaten annually by consumers in Illinois is significantly less than that eaten by consumers in Texas.Which New Jersey universities have students with higher GPAs? A researcher compares the GPA of 20 randomly selected students from each of the following 3 schools: Seton Hall, TCNJ, and Rowan. The mean GPAs were as follows: Seton Hall = 3.12, TCNJ = 3.39, Rowan = 2.90. (These are all made up, by the way.) SSwithin = 18.39 and SSbetween = 2.24. What can the researcher conclude at alpha .05?A researcher wishes to see whether there is any difference in the weight gains of athletes following one of three special diets. Athletes are randomly assigned to three groups and placed on the diet for 6 weeks. The weight gains (in pounds) are shown here. What can be concluded here? Diet A Diet B Diet C 3 10 8 6 12 3 7 11 2 4 14 5 8 6 A) At a 5% level of significance, there is enough evidence to reject the null hypothesis that there is no difference in the diets. B) The data prove that there is a difference in the diets. C) The data prove that there is no difference in the diets. D) A) At a 5% level of significance, there is not enough evidence to reject the null hypothesis that there is no difference in the diets E) None of the choices
- Suppose a research study uses two independent groups with 31 participants in each group. If a t-test analysis produces a calculated value of t of 2.22, which of the following is the correct decision? A. At the .05 level of significance, reject the null hypothesisB. At the .05 level of significance, fail to reject the null hypothesisC. At the .01 level of significance, reject the null hypothesisD. Impossible to answer without additional informationThe test statistic of z=2.19 is obtained when testing the claim that p>0.1. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α=0.05, should we reject H0 or should we fail to reject H0?A company manager wants to compare the satisfaction levels of his customers from two stores belonging to his company. According to his research, 249 out of 300 people are satisfied with shop A, and 348 out of 400 people are satisfied with shop B. Which of the following hypothesis states that there is a significant difference between customer satisfaction levels? H0 : P1 < P2, H1 : P1 ≥ P2 H0 : P1 ≥ P2, H1 : P1 < P2 H0 : P1 > P2, H1 : P1 < P2 H0 : P1 = P2, H1 : P1 ≠ P2 H0 : P1 ≠ P2, H1 : P1 < P2
- (a) The researcher is concerned that older persons may not be knowledgeable of the COFLU-20. As such, he is interested in investigating the association between the age of the respondents and their knowledge level. Table 2 below shows the knowledge level of respondents, by age group. Conduct a test, at the 5% level of significance, to determine whether the data provided sufficient evidence to conclude that an association exists between age group and knowledge level. (i) State the hypotheses to be tested: H0: H1: Calculate: (ii) state the degrees of freedom for this test (iii) the p-value for this test, given that the chi-square test statistic, c2, is 11.029. (iv) state the conclusion for the test. Give reason for your answer.Two samples of rats are timed for their maze running time. One group is taking a drug and the other is not. The times are given in the following table: Rats with drug Rats w/o drug 15 11 12 13 13 9 12 6 10 11 11 Determine whether the use of the test drug results in a different maze running time. Use the .05 level of significance. Question: How should the alternative hypothesis be stated? The test drug results of the rats who are given drugs ___ test drug result of the rats who were not given drugs. A. ≠ B. > C. <A researcher investigates whether cold medication effects mental alertness. It is known that scores on a standardized test containing a variety of problem-solving tasks are normally distributed with = 64 and = 8. A random sample of n = 16 teenage and a sample of n = 25 adults are given the drug and then tested. On average, the teenagers scored and average of ? = 58 and the adults scored and average of M = 65.5.a. Are the data sufficient to conclude that the medication significantly reduces mental alertness in teenagers? Test with = .01.b. Are the data sufficient to conclude that the medication significantly increases mental alertness in adults? Test with = .01.
- 11-The production numbers for five days in a factory producing three different products are given in the Table. Production numbers do not satisfy parametric assumptions . When investigating whether there is a difference between the production numbers of different products at the 0.05 significance level, which of the following is the test statistic? A) 6,43 B) 13,38 C) 10,53 D) 1,72 E) 2,56The test statistic of z=2.42 is obtained when testing the claim that p>0.1. a- identify the hypothesis test as being two-tailed, left-tailed or right tailed b- Find the P value c- Using a significance level of a=0.05, should we reject Ho or should we fail to reject Ho?A random sample of 15 male students and an independent random sample of 15 female students were asked to write essays at the conclusion of a writing course. These essays were then ranked from 1 (best) to 30 (worst) by a professor. The following rankings resulted: Male 26 24 15 16 8 29 12 6 18 11 13 19 10 28 7 Female 22 2 17 25 14 21 5 30 3 9 4 1 27 23 20 Test the null hypothesis that in the aggregate the two genders are equally ranked against a two-sided alternative.