A minority representation group accuses a major bank of racial discrimination in its recent hires for financial añalysts. Exactly 10% ofall applications were from minority members, and exactly 9% of the 900 open positions were filled by members of the minority.Answer the following. (If necessary, consult a list of formulas.)(a) Find the mean of p, where p is the proportion of minority member applications in a randomsample of 900 that is drawn from all applications.(b) Find the standard deviation of p .y Compute an approximation for P(ps0.09), which is the probability that there will be 9%or fewer minority member applications in a random sample of 900 drawn from allapplications. Round your answer to four decimal places.Save For LaterSubmit AssigninReserved. Terms of Use Privacy CenterAccessi

Sample size (n) = 900 Population mean (p) = 0.10

Answered: A minority representation group accuses…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that Mairin has knit a collection of wool‑blend infinity scarves that she wants to sell in her Etsy shop for $28.00 each. However, she is worried that if the average price of comparable scarves is less than $28.00, hers would be less likely to sell. Mairin selected a random sample of 9 similar hand‑knit, wool‑blend infinity scarves, and their prices are as follows. $21.75,$24.00,$27.25,$29.95,$23.00,$26.00,$27.80,$33.50,$27.00$21.75,$24.00,$27.25,$29.95,$23.00,$26.00,$27.80,$33.50,$27.00 Use a left‑tailed one‑sample ?t‑test to determine whether the average price of hand‑knit, wool‑blend infinity scarves sold on Etsy is less than $28.00. Assume that the prices of all comparable scarves are normally distributed. Mairin should (reject, accept, fail to accept) her null hypothesis. There is (sufficient, no, insufficient) evidence that the mean price of hand‑knit, wool‑blend infinity scarves is (greater than, different from, less than, equal two) $28.00.
Mensa requies a test score to be in the top 2%. The test has a mean of 100 and Std. Dev. of 15.and scores are normally distributed. If 4 subjects take the test and they have a mean of 132 but the individual scores are lost, can we conclude that all 4 of them are eligible for Mensa?
A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. Exactly 12% of all applications were from minority members, and exactly 10% of the 1650 open positions were filled by members of the minority. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of minority member applications in a random sample of 1650 that is drawn from all applications. 5 ? (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.1), which is the probability that there will be 10% or fewer minority member applications in a random sample of 1650 drawn from all applications. Round your answer to four decimal places.
If P(high) = 0.36, P(low) = 0.64, P(favorable | high) = 0.94, and P(unfavorable | low) = 0.63, then what is P(favorable)? 0.0600 0.3384 0.3600 0.5752
The 2006 Statistical Abstract of the United States reports on a survey that asked a national sample of 80,000 American households about pet ownership. Suppose (for now) that one-third of all American households own a pet cat. Still supposing that one-third of all American households own a pet cat, between what two values do you expect 95% of all sample proportions to fall?
(6) A student surveys some students on campus in the evening and finds that 16 out of 20of the students she interviewed are part time students. She uses the data to estimatethe percentage of all students who are part time. What type of bias is present in hersample?(7) A pollster surveys people at a boxing match, asking them if they had even strucktheir spouse. Of the 32 people surveyed, 30 said no and the other 2 did not respond.What type of bias is in this sample?
Suppose you compile all possible samples of 25 children of preschool age in your school district. If you calculate the mean of each sample (M) and create a frequency distribution of these means, this distribution is referred to as the
Suppose that 67% of voters in a state oppose concealed carry handguns. Repeated random samples of 400 voters were collected. Use the Empirical Rule to find the interval in which the sample proportion of opponents should fall 95% of the time. Select one: A. (64.6%,69.4%)(64.6%,69.4%) B. (63.8%,70.2%)(63.8%,70.2%) C. (60.7%,73.3%)(60.7%,73.3%) D. (61.5%,72.5%)(61.5%,72.5%) E. None of the above
Truffles are a great delicacy, sending thousands of mushroom hunters into the forest each fall to find them. A set of plots of equal size in an old-growth forest in Northern California was surveyed to count the number of truffles (Water et al. 1997). The resulting distribution is pre- sented in the following table. Are truffles ran- domly located around the forest? If not, are they clumped or dispersed? How can you tell? (The mean number of truffles per plot, calculated from these data, is 0.60.) Number of truffles per plot 0 1 2 3 > 3 Frequency 203 39 18 13 15
Use the following scenario to answer the next 6 questions: M&Ms are your favorite vending machine snack and you purchase them often. Lately, it seems like the bags have been having a disproportionate distribution of the colors. The company claims that 24% of the candies per bag should be blue. You decide to test this claim for yourself. You purchase a large bag and find that 38 of the 224 candies are blue. Before complaining to the company, you want to be fairly sure of your accusation, so you set a 1% significance level for your test. Do you have sufficient evidence that the color distribution is different than advertised? Based on the data, the value of the test statistic is:
Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. A bank categorizes its customers into one of three groups based on their banking habits. A random sample of 30 customers from each group was selected, and the number of times each customer visited the bank during the past year was recorded. The following table shows the summary statistics. Group n x¯ s A 30 48 7 B 30 51 8 C 30 54 10 The bank manager will investigate whether there is a significant difference in mean numbers of bank visits for the groups. Multiple two-sample t-tests will be conducted, each at the significance level of α=0.05.

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