PROBLEM 1: To determine the effect of a growth stimulant, 24 feedlot beef cattle were randomly assigned to three groups at eight per group. Cattles in group 3 were given an injection of 10 units of a growth hormone, cattle in group 2 received an injection of 5 units, and group 1 received no injection. The cattle are of the same breed and age and were fed identically at the same location. The weight gained, in pounds, were recorded after a specified period. 1. Give a possible randomization layout of the experiment. Specify legends if there is any. 2. Cite requisites of the experimental condition in the context of the problem for the completely randomized design to be a valid design. Explain your answer.
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.Question 4 A country club wants to exam the effects of a new marketing campaign that attempts to get more people within the community to become members. In many communities, when people buy a house in the area, they receive a “Welcome Wagon” gift basket containing coupons to local restaurants. The idea of the marketing campaign is to include a free two month membership to the country club in the gift basket with the hope that once “new” residents try the country club then at least a certain proportion will want to become real members. One member of the Club’s Executive Council believes that at least 25% of the people who receive the coupons for the free membership will use the coupon. When testing the hypothesis that at least 25% of the people who receive the coupons for the free membership will use the coupon, what is the null and alternative hypothesis?QUESTION 5 A country club wants to exam the effects of a new marketing campaign that attempts to get more people within the community to become members. In many communities, when people buy a house in the area, they receive a “Welcome Wagon” gift basket containing coupons to local restaurants. The idea of the marketing campaign is to include a free two month membership to the country club in the gift basket with the hope that once “new” residents try the country club then at least a certain proportion will want to become real members. One member of the Club’s Executive Council believes that at least 80% of the people who receive the coupons for the free membership will use the coupon. In a sample of 197 new residents who received the coupon for the two month free membership, there were 136 people who actually took advantage of the free two month membership. When testing the hypothesis that at least 80% of the people that receive the coupon actually use it, what is the test statistic?…
- Problem#1: On the desk of an office of a Banking Company, the arrivals of the customers follow poisson law and an average at every 10 minutes a customer arrives. The officer responsible takes on an average 6 minutes to serve a customer, assuming the exponentially distributed. Find out the average arrival rates for(a) 1 hour(b) 15 minutes(c) 8 hoursRework problem 15 in section 2 of Chapter 5 of your textbook about the growing suburb and the declining city using the following data: Assume that the suburb has a population of 808000 and is growing at a rate of 3000 per year. Assume that the city has a populatior of 1060000 and is declining at a rate of 15000 per year. In how many years will the populations of the suburb and the city be equal? What will the populations be when they are equal?question 10 Advertising You are the marketing director for a company that manufactures bodybuilding supplements and you are planning to run ads in Magazine A and Magazine B. Based on readership data, you estimate that each one-page ad in Magazine A will be read by 575,000 people in your target group, while each one-page ad in Magazine B will be read by 275,000 people in your target group. You would like your ads to be read by at least 5 million people in the target group, and, to ensure the broadest possible audience, you would like to place at least four full-page ads in each magazine during the year. Draw the feasible region showing how many pages you can purchase in each magazine. Find the corner points of the region. (Place Magazine A on the x-axis and Magazine B on the y-axis.) Find the corner points of the region. (Order your answers from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DNE. Round each coordinate to the nearest whole…
- Rework problem 15 in section 2 of Chapter 5 of your textbook about the growing suburb and the declining city using the following data: Assume that the suburb has a population of 628000 and is growing at a rate of 6000 per year. Assume that the city has a population of 832000 and is declining at a rate of 11000 per year. In how many years will the populations of the suburb and the city be equal? What will the populations be when they are equal?Question 23: The National Institute of Mental Health published an article stating that in any one-year period, approximately 9% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 10% of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that city suffering from depression or a depressive illness is more than the 9% in the general adult American population. Test the relevant hypotheses using a 10% level of significance. Give answer to at least 4 decimal places. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0: H1: Based on the hypotheses, find the following: Test Statistic = p-value = Based on the above we choose to The correct summary would be: that the true proportion of people in that city suffering from depression or a…QUESTION 3 The Research Unit for Cecilion Supermart conducted an experiment to estimate the strength of thecarrier bag from the starch-based biofilms made from two different jicamas (sengkuang) of type Aand type B. However, the researcher claims that jicama type A produces more strength comparedto type B. To support this claim, 10kg weight item was put into 100 carrier bags made from jicamatype A and 200 carrier bags made from jicama type B were randomly selected. As a result, 8 bagsfrom jicama type A burst while 12 bags from jicama type B burst. Calculate a 95% confidenceinterval for the difference in true proportion of the carrier bags which burst between jicama type Aand type B. Give comment on the parameter estimate.
- Problem 3. Suppose a test for detecting a certain rare disease has been perfected that is capable of discovering the disease in 97% of all afflicted individuals. Suppose further that when it is tried on healthy individuals, 5% of them are incorrectly diagnosed as having the disease. Finally, suppose that when it is tried on individuals who have certain other milder diseases, 10% of them are incorrectly diagnosed. It is known that the percentages of individuals of the three types being considered here in the populations at large are 1%, 96%, and 3%, respectively. Calculate the probability that an individual, selected at random from the population at large and tested for the rare disease, actually has the disease if the test indicates he is so afflicted.Question #11 A tamoxifen study claims that a combination of chemotherapy and the hormone therapy tamoxifen is more effective than tamoxifen alone in preventing breast cancer. In the study, a group of researchers from the U.S. and Canada studied 1477 postmenopausal women with early-stage breast cancer. The women were randomly assigned to one of three study groups. The first group of 361 received tamoxifen alone on a daily basis for five years. The second group of 566 received chemotherapy and tamoxifen for six months, and then completed five years of tamoxifen treatment. And the third group of 550 received chemotherapy alone for six months followed by five years of tamoxifen treatment. All 1477 patients knew which treatment they were receiving.In this study, which is the control group? the third group of 550 that received chemotherapy alone for 6 months and then tamoxifen for 5 years the second group of 566 that received tamoxifen and chemotherapy concurrently for 6 months the first…Question 8:Research at the University of Toledo indicates that 50% of students change their major area of study after their first year in a program. A random sample of 100 students in the College of Business revealed that 48 had changed their major area of study after their first year of the program. Has there been a significant decrease in the proportion of students who change their major after the first year in this program? Test at the .05 level of significance.