Answer Happy

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.(14 points) A hand cream company was interested in whether customers' preferences for hand cream are elated to their parental status. On a recent survey of a random sample of 304 customers, the company asked: Do you have children under five years of age that live with you?" The customer answered "Yes" if they had hildren under 5 years of age, and "No" if they did not. The customers were also asked: "What is the most mportant characteristic you consider when choosing a hand cream?" The answer choices were: nice scent; long- esting; non-greasy; and all-natural. The company would like you to perform a Test of Independence to determine if hand cream preference is elated to parental status, at the a = 0.05 significance level. Is there evidence that these two variables are elated in the population of customers? he observed frequencies from the sample are given in the following table: Observed Frequencies (f) Children under 5 at home? Hand Cream Preference ice scent Row Total Yes 36 No 48 ong-lasting 28 30 on-greasy 35 43 Jl-natural 52 32 Column Total re is the calculation table for the Chi-Square test statistic: Children at home Observed Frequency Expected Frequency Difference squared/expected Preference ce scent Yes No ce scent Yes ng-lasting No ng-lasting Yes on-greasy No en-greasy Yes -natural No -natural xiest = er you calculate and fill out the tables, write the four steps for the hypothesis test on the report the test statistic in Step 2, since the calculation is shown at length above.
est is open book, open-note, open-Excel, and open-internet but you are NOT allowed to consist with w students or any other people about either the problems or the answers. och problem, show at minimum: a The null and alternative hypotheses, written using proper notation (2 points) The test statistic calculation showing: For the first problem, show the letter of the test statistic (chi-square or F), the formula for the test statistic, the numbers filled into the formula, and the final result. Round yes test statistics to three decimals; round Frest test statistics to two decimals. (3 points) b. For the second problem, show one example calculation of each type, and then fill in the calculation tables. You do not need to write out repetitive calculations. Keep four decimals on intermediate calculations. The test statistic can be rounded to three. (5 points) The rejection step showing BOTH the p-value approach (2 points) AND the CV approach (2 points). You do not need to draw the rejection diagram unless you want to. You must show the proper p-value and proper CV or CVs, and the rejection rule (whether in numbers or with the diagram) that led you to you decision about the null hypothesis. State what happened to the null and the alternative hypotheses to get full credit. Interpret the test result, referencing the alpha significance level (or percent confidence level), and answering all questions asked. (3 points) ut your answers and upload them to Canvas by 11:59pm on Friday, Apr 1. If you need to use extra pa ne, just scan all of your work. If you cannot print this test, that is fine just write your answers on a e page and number them. tion of the exam will be scored out of 26 total points possible. Partial credit will be awarded if you merit it. This portion of the exam is worth 35% of your Exam 1 grade; the multiple-choice part wil 5% of your Exam 1 grade. each out to me as soon as possible if you have any questions, by email (au4367 @wayne.edu).
2 points) A manufacturer has been implementing a just-in-time inventory system for its production line. product requires a hinge to be installed at a particular station on the assembly line. Ideally, the next hin d arrive at the station just when the operator needed it. However, due to various factors, some buildu es at the station is to be expected. ncern is the variance of the inventory of hinges. The company wants to ensure that the variance is 49 ce is not 49, then adjustments must be made to bring it under control. given day, an analyst at the company records the inventory of hinges at 26 randomly selected time- nce of the sample is calculated to be 80.4. uct a hypothesis test at the a = 0.05 significance level to find out if the population variance of hing ent than 49. Based on your results, do adjustments need to be made?