Concept explainers
For Exercises 1 through 12, use the Kruskal-Wallis test and perform these steps.
a. State the hypotheses and identify the claim.
b. Find the critical value.
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.
12. Prices of Vitamin/Mineral Supplements The prices for 30-count packages of randomly selected store-brand vitamin/mineral supplements are listed from three different sources. At the 0.01 level of significance, can a difference in prices be concluded?
Grocery store | Drugstore | Discount store |
6.79 | 7.69 | 7.49 |
6.09 | 8.19 | 6.89 |
5.49 | 6.19 | 7.69 |
7.99 | 5.15 | 7.29 |
6.10 | 6.14 | 4.95 |
Want to see the full answer?
Check out a sample textbook solutionChapter 13 Solutions
Elementary Statistics: A Step By Step Approach
Additional Math Textbook Solutions
APPLIED STAT.IN BUS.+ECONOMICS
University Calculus: Early Transcendentals (4th Edition)
Introductory Statistics
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Elementary Statistics: Picturing the World (7th Edition)
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
- The critical boundaries for a hypothesis test are z = +1.96 and -1.96. If the z-score for the sample data is z =-1.90, what is the correct statistical decision? Question options: a. Reject H1 b. Fail to reject H1 c. Fail to reject H0 d. Reject H0arrow_forwardDescribe type I and type II errors for a hypothesis test of the indicated claim. A furniture store claims that at least 40% of its new customers will return to buy their next piece of furniture. Describe the type I error. Choose the correct answer below. OA. A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is at least 0.40, but you fail to reject Ho: p20.40. OB. A type I error will occur when the actual proportion of new customers who return to buy their next piece furniture is at least 0.40, but you reject Ho: p20.40. OC. A type I error will occur when the actual proportion of new customers who return to buy their next piece of furniture is no more than 0.40, but you reject Ho: p ≤ 0.40. OD. A type I error will occur when the actual proportion of new customers who return to buy their next piece f furniture is no more than 0.40, but you fail to reject Ho: p ≤0.40. Describe the type II error. Choose the correct answer…arrow_forwardThe critical boundaries for a hypothesis test are z = +1.96 and -1.96. If the z-score for the sample data is z = 1.90, then what is the correct statistical decision? a. Fail to reject H0 b. Fail to reject H1 c. Reject H1 d. Reject H0arrow_forward
- a. Let p be the population proportion of correct polygraph results. Identify the null and alternative hypotheses. Choose the correct answer below. b. The test statistic is z= c. The P-value is enter your response here d. Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim.arrow_forwardConsider the hypothesis test below, with n = 65 and p = 0.46. Ho: p=0.38 HA:p#0.38 a = 0.05 a. State the decision rule in terms of the critical value of the test statistic. b. State the calculated value of the test statistic. c. State the conclusion. a. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) O A. Reject the null hypothesis if the calculated value of the test statistic, z, is greater than and less than Otherwise, do not reject the null hypothesis. O B. Reject the null hypothesis if the calculated value of the test statistic, z, is less than Otherwise, do not reject the null hypothesis. O C. Reject the null hypothesis if the calculated value of the test statistic, z, is greater than Otherwise, do not reject the null hypothesis. O D. Reiect the null hvpothesis if the calculated value of the test statistic. z. is areater than or less than Otherwise. do not reiect the null hvpothesis.arrow_forwardGaynor Advertising conducted a survey to determine individual’s main source of news as well astheir educational level. 2500 individuals were surveyed and the results are given in the attached table. a. State both the null and alternative hypotheses. b. Provide the decision rule for making this decision. Use an alpha level of 5%. c. Show all of the work necessary to calculate the appropriate statistic. d. What conclusion are you allowed to draw? e. Would your conclusion change at the 10% level of significance? f. Confirm test results in part (c) using JASParrow_forward
- Q2) Paired-Samples t Test A research project has been tracking the health and cognitive functions of the elderly population in Arizona. The table below shows the memory test scores from some elderly residents, tested first when they were 65 years old and again when they were 75 years old. The researcher wants to know if there is a significant decline in memory functions from age 65 to age 75 based on this sample. In other words, it is hypothesized that the memory score at age 75 is significantly lower than the memory score at age 65. So the null and alternative hypotheses should be directional. The alpha level was set at a = .05 for a one-tailed hypothesis test. Memory score Subject 1 2 3 4 5 6 7 8 9 10 Age 65 62 95 55 90 98 73 73 71 82 66 Age 75 65 88 56 89 90 75 70 70 80 62arrow_forwardYou are given the null and alternative hypotheses and the sample information shown below. Complete parts a and b below. Ho H-H2=0 H H-H2#0 Sample 1 n, = 120 S, = 31 X = 130 Sample 2 n = 135 $2 = 39 X = 155 a. Develop the appropriate decision rule, assuming a significance level of 0.10 is to be used. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) O A. Reject Ho ift OC. Reject H, ift b. Test the null hypothesis and indicate whether the sample information leads you to reject or fail to reject the null hypothesis Use the test statistic approach. Calculate the value of the test statistic t=(Round to two decimal places as needed.) Since the test statistic in the rejection region, the null hypothesis. There is evidence at a=0.10 to conclude that the two population means are differentarrow_forwardplease answer A and B Thank Youarrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning