An overseas shipment of 5 foreign automobiles contains 2 that have slight paint blemishes. If the agency receives 3 of these automobiles at random, list the elements of the sample space S using the variables B for “blemished” and N for “non blemished”, respectively, and to each sa
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An overseas shipment of 5 foreign automobiles contains 2 that have slight paint blemishes. If the agency receives 3 of these automobiles at random, list the elements of the sample space S using the variables B for “blemished” and N for “non blemished”, respectively, and to each sample point, assign a value x of the random variable X representing the number of automobiles purchased by the agency with paint blemishes and their associated probabilities.
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- 58% of all statistics classes require a statistical calculator and 30% require the use of a computer that has statistical software. Of the classes that require a statistical calculator, 16% also require the use of a computer. If a statistics course is selected at random find: (round to 4 decimal places where possible) a. P(Statistical Calculator) = b. P(Statistical Software) = c. P(Require a Statistical Calculator and Statistical Software) = d. P(Require a Statistical Calculator GIVEN Require Statistical Software) =A research team is working on a project to study the time (in seconds) for high school male runners to finisha 400-meter race. Jimmy, a junior researcher in the team, has randomly selected a sample of 25 male runnersfrom a high school and the time (in seconds) for each of them to complete a 400-meter race was recorded.The sample mean running time was 53 seconds. It is assumed that the running time in a 400-meter racefollows a normal distribution with a population standard deviation of 5.5 seconds.(a) Give a point estimate of the population mean running time for a 400-meter race.(b) Calculate the sampling error at 95% confidence level.(c) Construct a 95% confidence interval estimate of the population mean running time for a 400-meter race. (d) If instead of 25, 80 male runners are selected for the study, what is the sampling error at 95% confidencelevel? When the 95% confidence interval is constructed based on a sample with 80 male runners, wouldyou expect the interval will be (I)…Three balls are selected from a bag that contains 3 blue, 2 green, and 5 yellow balls. Here, we define random variables as B = number of blue balls drawn, G = number of green balls drawn, Y = number of yellow balls drawn. Please list the following values:
- When two births are randomly selected, the sample space for genders is bb, bg. gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is , and this is not affected by how many boys or girls have previously been born. 2 Determine the probabilities of each sample proportion. Probability Sample proportion of girls Tune intanare or cimnlifiad frartinneSuppose 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?
- Suppose that three of your family (ex: mother,father and you) drop their cell phones at your house and that each of them picks up the cellphone at random, list the elements of the sample space S using using the letter O and N for own phone and not his/her own phone to be picked, respectively. To each sample point assign a value x of the random variable X representing the number of people who get their right cell phone . Complete the table below.Assume that 900 births are randomly selected and 443 of the births are girls. Use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high.2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
- A group of 100 BSSE girls from Riphah were selected to participate in a survey conducted by HEC to assess the satisfaction of students with online studies provided by the university. 48 % of the girls were high scorers while the rest were average scorers. 51 girls showed a lack of satisfaction with the studies including only 9 high scorers. Construct a 2 way cross tabulation and answer the following questions a. If a randomly selected student is an average score what is the probability that she would be satisfied with the studies b. What is the probability that a randomly picked student is a high scorer not satisfied with the studies c. What is the probability that a randomly picked students who is satisfied with the studies is a high-scorer girlFortune publishes data on sales, profits, assets, stockholders' equity, market value, and earnings per share for the 500 largest U.S. industrial corporations every year. Assume that you want to select a simple random sample of 10 corporations from the Fortune 500 list. Use the last three digits in column 10 of the table of random numbers, beginning with 945. Read down the column and identify the numbers of the 10 corporations that would be selected. (Enter your answers as a comma-separated list.)
