After applying the NWC Rule for the initial tableau of the given transportation model, evaluate the vacant cells. What is the cell which has the most negative evaluation value and what is the cell evaluation value? SOURCE X Y DEMAND N OY-S; -1 OX-S; -1 OY S: 2 OX-R1 P 75 8 12 11 DESTINATION a 80 5 8 11 R 7 10 10 S 50 11 13 14 SUPPLY 100 125 100 325
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- Dr. Dommer is interested in testing whether the gender breakdown in his introductory biology class isrepresentative of the gender breakdown of the college population. There are 20 females and 25 males in his class. If the college population is 60 percent female, what should Dr. Dommer conclude about the representativeness of his class? Complete the 6 steps of hypothesis testing. Show your work for each step. Report your results and conclusion in APA style. Assume that alpha is set at .05.Every corporation has a governing board of directors.The number of individuals on a board varies from onecorporation to another. One of the authors of the article“Does Optimal Corporate Board Size Exist? AnEmpirical Analysis” (J. of Applied Finance, 2010:57–69) provided the accompanying data on the numberof directors on each board in a random sample of 204corporations.No. directors: 4 5 6 7 8 9Frequency: 3 12 13 25 24 42No. directors: 10 11 12 13 14 15Frequency: 23 19 16 11 5 4 No. directors: 16 17 21 24 32Frequency: 1 3 1 1 1a. Construct a histogram of the data based on relativefrequencies and comment on any interestingfeatures.b. Construct a frequency distribution in which thelast row includes all boards with at least 18 directors.If this distribution had appeared in the citedarticle, would you be able to draw a histogram?Explain.c. What proportion of these corporations have at most10 directors?d. What proportion of these corporations have morethan 15 directors?Every corporation has a governing board of directors.The number of individuals on a board varies from onecorporation to another. One of the authors of the article“Does Optimal Corporate Board Size Exist? AnEmpirical Analysis” (J. of Applied Finance, 2010:57–69) provided the accompanying data on the numberof directors on each board in a random sample of 204corporations.No. directors: 4 5 6 7 8 9Frequency: 3 12 13 25 24 42 No. directors: 10 11 12 13 14 15Frequency: 23 19 16 11 5 4 No. directors: 16 17 21 24 32Frequency: 1 3 1 1 1 a. Construct a histogram of the data based on relativefrequencies and comment on any interestingfeatures.
- Table 11.52 provides a recent survey of the youngest online entrepreneurs whose net worth is estimated at one million dollars or more. Their ages range from 17 to 30. Each cell in the table illustrates the number of entrepreneurs who correspond to the specific age group and their net worth. Are the ages and net worth independent? Perform a test of independence at the 5% significance level. Age Group\Net Worth Value (in millions of US dollars) 1-5 6-24 _>25 Row Total 17-25 8 7 5 20 26-30 6 5 9 20 Column Total 14 12 14 40At 5% level of significance, test if the Penicillium roqueforti colonies grown on malt extract agar are bigger than when grown on Czapek yeast autolysate agar using the given R-software output:Fill-up the following as the answer: Ho, Ha,Test procedure, Decision Rule, Computed test statistic and p-value, Decision, ConclusionA study of the characteristics of subcarriers—telecommunication signals carried on top of one another—for underwater acoustic communications was conducted. A sub-carrier can be classified as either a data subcarrier (used for data transmissions), a pilot subcarrier (used for channel estimation and synchronization), or a null subcarrier (used for direct current and guard banks transmitting no signal). In a sample of 1,024 subcarrier signals transmitted off the coast of Martha’s Vineyard, 672 were determined to be data subcarriers, 256 pilot subcarriers, and 96 null subcarriers. Suppose a communications engineer who works near Martha’s Vineyard believes that fewer than 70% of all subcarrier signals transmitted in the area are data subcarriers. Is there evidence to support this belief? Test using a significance level of .05. Write all steps.
- A professor at the University of Iowa was interested in evaluating whether domestic dispute calls were more dangerous to officers than other types of calls. Collecting information on call for service and whether the call resulted in officer injury. The data is displayed in the contingency table below Using an alpha level of 0.05, are domestic calls more dangerous for officers than other types of calls? Compute Cramer’s V and identify if it is a small, medium, or large effectA recent poll found that 664 out of 1026 randomly selected people in a particular country felt that colleges and universities with big sports programs placed too much emphasis on athletics over academics. Assuming the conditions for the CLT are met, use the accompanying Minitab output to complete parts a and b below. N Event Sample p 95% CI for p 1026 664 0.647173 (0.617934, 0.676413) Question content area bottom b. Suppose a sports blogger wrote an article claiming that a majority of adults from this country believe that colleges and universities with big sports programs place too much emphasis on athletics over academics. Does this confidence interval support the blogger's claim? Explain your reasoning. A. No, it is not a plausible claim because the confidence interval contains 50%. B. No, it is not a plausible claim because the confidence interval does not contain only values above 50%. C. Yes, it is a…State the hypothesis, establish the critical region and compute the t statistic of these two groups.
- Compute for the Two way ANOVA or F-Test in an experiment designed to evaluate three detergents, a laboratory ran three loads of washing at each combination of detergents and water temperatures and obtained the following whiteness readings: Detergent A Detergent B Detergent c Cold Water 45, 39, 46 43, 46, 41 55, 48, 53 Warm Water 37, 32, 43 40, 37, 46 56, 51, 53 Hot Water 42, 42, 46 44, 45, 38 46, 49, 42 Use the 0.01 level of significance to test for differences among the detergents, differences due to water temperature, and differences due to interactions.An ornithologist thinks that injections of follicle-stimulating hormone (FSH) increase the singing rate of his captive male cotingas (birds). To test this hypothesis, he randomly selects 20 singing cotingas and divides them into two groups of 10 birds each. The first group receives injections of FSH and the second gets injections of saline solution, as a control for the trauma of receiving an injection. He then records the singing rate (in songs per hour) for both groups. The results are given in the following table. Note that two of the FSH birds escaped during injection and were not replaced. a.) What is the alternative hypothesis? Use a directional alternative hypothesis. b.) What is the null hypothesis? c.) Using the Mann-Whitney U test and alpha=0.05tail what is your conclusion?An industrial-organizational psychologist believes that implementing a 2-hour lunch break at US companies will have an effect on employee productivity. On a productivity scale from 1 to 15, the average productivity score for all companies in the US is 8 (u = 8.00, ỡ = 4.00). The IO psychologist randomly samples 5 companies and has the companies implement a 2-hour lunch break for 1 month. At the end of the month, the lO psychologist measures the productivity scores for the five companies and obtains the following scores: 9, 14, 10, 12, 15 Using the appropriate hypothesis test and the six steps of hypothesis testing, determine what the 10 psychologist should conclude about the effect of a 2-hour lunch break on employee productivity. 1) What are the null and alternative hypotheses 2)Construct a sampling distribution of means representing the null hypothesis. Specify the sampling distribution's mean and standard error 3)Using a two-tailed alpha of .05 (a = 05), determine the critical…