a:
Calculate the z value and p value with boys.
a:
Explanation of Solution
The null hypothesis (H0) is
The calculated Z value and p value can be obtained using the statistical software. The result is given below:
The Z value is 2.49 and the p value is 0.0065. Since the p value is nearly equal to 0, the alternate hypothesis is accepted.
b:
Calculate the z value and p value with girls.
b:
Explanation of Solution
The null hypothesis (H0) is
The calculated Z value and p value can be obtained using the statistical software. The result is given below:
The Z value is 0.893 and the p value is 0.1859. Since the p value is significantly different from 0, the alternate hypothesis is not accepted.
c:
Calculate the z value and p value with boys and girls.
c:
Explanation of Solution
The null hypothesis (H0) is
The calculated Z value and p value can be obtained using the statistical software. The result is given below:
The Z value is 2.61 and the p value is 0.0045. Since the p value is nearly equal to 0, the alternate hypothesis is accepted.
Want to see more full solutions like this?
Chapter 13 Solutions
Statistics for Management and Economics (Book Only)
- A salesman for a new manufacturer of cellular phones claims not only that they cost the retailer less but also that the percentage of defective cellular phones found among his products, ( p1 ), will be no higher than the percentage of defectives found in a competitor's line, ( p2 ). To test this statement, the retailer took a random sample of 185 of the salesman's cellular phones and 150 of the competitor's cellular phones. The retailer found that 22 of the salesman's cellular phones and 11 of the competitor's cellular phones were defective. Does the retailer have enough evidence to reject the salesman's claim? Use a significance level of α=0.05 for the test. Step 1 of 6 : State the null and alternative hypotheses for the test.arrow_forwardThe manager of a men’s clothing catalog measured the market’s response to a $6 decrease in the usual price of his company’s oxford shirts by conducting a sales experiment. An A-B split was used to divide the company’s 120,000-customer mailing list into two groups. Customers in the control group were sent catalogs listing oxford shirts at their usual price of $40. Customers in the test group were sent catalogs listing the price of oxford shirts at $32.80. During the period of the test, customers in the control group purchased 700 oxford shirts, and customers in the test group purchased 889 oxford shirts. What is the independent variable in this sales experiment? What is the dependent variable in this sales experiment? What is the percent change in price in this experiment? What is price elasticity indicated by the results of this experiment.arrow_forwardYou are helping a friend that owns a local store. Their costs are per unit, so the only way they can maximize profits are by increasing revenue. Therefore, you would like to help identify the price that will maximize revenues. Below is data from a previous period. Complete the chart. (For the TR Test, consider that prices are increasingarrow_forward
- A government study found that people who eat chocolate frequently weighless than people who don’t. Researchers questioned 1000 individuals fromCalifornia between the ages of 20 and 85 about their eating habits, andmeasured their weight and height. On average, participants ate chocolatetwice a week and had a body mass index (BMI) of 28. There was anobserved difference of five to seven pounds in weight between those whoate chocolate five times a week and those who did not eat any chocolate atall, with the chocolate eaters weighing less on average. Frequent chocolateeaters also consumed more calories, on average, than people who consumedless chocolate. Based on this summary, would you recommend thatAmerican’s who do not presently eat chocolate, consider eating chocolateup to five times a week if they want to lose weight? Why or why not?Explain.arrow_forwardA salesman for a new manufacturer of cellular phones claims not only that they cost the retailer less but also that the percentage of defective cellular phones found among his products, ( p1 ), will be no higher than the percentage of defectives found in a competitor's line, ( p2 ). To test this statement, the retailer took a random sample of 130 of the salesman's cellular phones and 110 of the competitor's cellular phones. The retailer found that 10 of the salesman's cellular phones and 5 of the competitor's cellular phones were defective. Does the retailer have enough evidence to reject the salesman's claim? Use a significance level of α=0.05 for the test. Step 5 of 6 : Determine the decision rule for rejecting the null hypothesis H0 . Round the numerical portion of your answer to three decimal places.arrow_forwardHas the researcher tested for representativeness: comparing the sex distribution ofthe population and of respondents, for example, or their ages, ethnicity, education, orincome?arrow_forward
- Textbook authors must be careful that the reading level of their book is appropriate for the target audience. Some methods of assessing reading level require estimating the average word length. We've randomly chosen 20 words from a randomly selected page in Intro Stats and counted the number of letters in each word: 5, 5, 2, 11, 3, 5, 6, 8, 5, 4, 7, 2, 9, 4, 8, 10, 4, 7, 6, 9 Suppose that our editor was hoping that the book would have a mean word length of 6.8 letters. Does this sample indicate that the authors failed to meet this goal? With a significance level of 0.05, test an appropriate hypothesis and state your conclusion. (i.e state the appropriate null and alternative hypotheses, calculate the test statistic, conclude and interpret it).arrow_forwardWhat is differance between three sector ecnomoy and four sector ecnomoyarrow_forwardPls answer 54arrow_forward
- the college of science surveys its graduating students to determine the starting salaries and the job market for the new graduates. the population of graduating students according to majors is recorded as follows: BS bio (85), BSM-CS (102), BSM-BA (78), and BSM-AS(75). If you would like to select 100 samples, how large must a sample be for each major using proportionate allocation?arrow_forwardResearchers conducted a prospective cohort study to assess the association between dietary supplements and cognitive ability among children. A total of 500 children age 12-17 years who take an omega-3 fatty acid supplement are compared with 500 children age 12-17 years who do not take an omega-3 fatty acid supplement. Researchers follow the children for 2 years. During this time, 300 children who take the supplement earn what is classified as a “high” score on a cognitive test while 200 children who do not take the supplement earn what is classified as a “high” score on the same cognitive test. Show calculations. a) Construct a 2x2 table from the information presented above b) The risk difference is:arrow_forward“Business Ethics is the application of ethical and moral principles or in a business environment. It deals with what is right and what wrong while doing business”. But to the contrary, evidences show that some business organizations are involved in different unethical practices to increase their profit at the risk of many people’s money, health and lives. As a business ethics student you are required to address the following questions: Q1. Describe five unethical practices adopted by business organizations in Oman. You may find it form newspapers, magazines etc. or from your own experiences and observation if any. Q2. Analyze each of these unethical practices and explain how these unethical practices affect the people and society as a whole. Q3. Suggest the ways to overcome each of these unethical practices.arrow_forward
- Principles of Economics (12th Edition)EconomicsISBN:9780134078779Author:Karl E. Case, Ray C. Fair, Sharon E. OsterPublisher:PEARSONEngineering Economy (17th Edition)EconomicsISBN:9780134870069Author:William G. Sullivan, Elin M. Wicks, C. Patrick KoellingPublisher:PEARSON
- Principles of Economics (MindTap Course List)EconomicsISBN:9781305585126Author:N. Gregory MankiwPublisher:Cengage LearningManagerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage LearningManagerial Economics & Business Strategy (Mcgraw-...EconomicsISBN:9781259290619Author:Michael Baye, Jeff PrincePublisher:McGraw-Hill Education