Course: Introduction to Statistics (Bus-172)Answer all the questions.Question: 1Seventy percent of the adults in Bangladesh favor some kind of government control on the pricesof medicines. Assume that this percentage is true for the current population of all adults. Let pbe the proportion of adults in a random sample of 200 who favor government control on theprices of medicines.(a) Find the mean and standard deviation of the sampling distribution of p.(b)Find the probability that the sample proportion p is at least 72%.(c) Find the probability that the sample proportion p is within 0.05 of the population proportion.(d) Comment on the shape of the sampling distribution of p. Justify your answer. State twoproperties of the type of distribution you assumed here.Formulae:µx = µ, 0g =Hô = p, Opz =えz =p – Hpz =Op

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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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The amount of time adults spend watching television is closely monitored by firms because this helps to determine advertising pricing for commercials. Complete parts (a) through (d). ..... (b) According to a certain survey, adults spend 2.35 hours per day watching television on a weekday. Assume that the standard deviation for "time spent watching television on a weekday" is 1.93 hours. If a random sample of 60 adults is obtained, describe the sampling distribution of x, the mean amount of time spent watching television on a weekday. x is approximately normal with H = 2.35 and o- = 0.249162. (Round to six decimal places as needed.) (c) Determine the probability that a random sample of 60 adults results in a mean time watching television on a weekday of between 2 and 3 hours. The probability is 0.9154 . (Round to four decimal places as needed.) (d) One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 55…
The weight in kilograms of the citizens of Fredonia has a mean of 50 kg and standard deviation of 24 kg (a) Find the mean of the sampling distribution of the sample mean. (b) Find the standard deviation of the sampling distribution of the sample mean.
Suppose a professor uses a normal distribution to assign grades in her math class. • She assigns an A to students scoring more than 1.9 standard deviations above the mean. • She assigns an F to students scoring more than 2.2 standard deviations below the mean. She assigns a B to students who Score between 1 and 1.9 standard deviations above the mean. • She assigns a D to students who Score between 1.2 and 2.2 standard deviations below the mean. • All other students get a C. Use the Cumulative Z-Score Table to answer the following questions. The Z-Score Table can be found below by selecting "Read". Write your answer as a percent using 2 decimal places. What percent of the class receives each grade assuming the scores are normally distributed? Hint % will recieve an A % will recieve a B % will recieve a C % will recieve a D % will recieve an F
Given a test that is normally distributed with a mean of 100 and a standard deviation of 12, find: (a) the probability that a single score drawn at random will be greater than 110 (b) the probability that a sample of 25 scores will have a mean greater than 105 (c) the probability that a sample of 64 scores will have a mean greater than 105 (d) the probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105
The grade point average for ALL juniors at a large college has a standard deviation of 0.50. A random sample of 20 students is to be used to estimate the population mean grade point average. What condition do you need to verify prior to computing the probability of obtaining a sample mean within plus or minus 0.2 of the population mean?
Recent studies have shown that about 39.9% of American adults fit the medical definition of being obese. A large medical clinic would like to estimate what percentage of their patients are obese, so they take a random sample of 400 patients and find that 136 are obese. Suppose that in truth, the same percentage holds for the patients of the medical clinic as for the general population, 39.9%. The standard deviation of the sampling distribution of was found to be 0.0245. If the clinic took repeated random samples of 400 observations and found the sample proportion who were obese, into what interval should those sample proportions fall about 95% of the time? (Use the Empirical Rule. Round your answers to two decimal places.) between and
The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million and a standard deviation of $2 million. The salaries of professional football players are also heavily skewed right with a mean of $1.9 million and a standard deviation of $1.5 million. A random sample of 40 baseball players’ salaries and 35 football players’ salaries is selected. The mean salary is determined for both samples. Let represent the difference in the mean salaries for baseball and football players. Which of the following represents the shape of the sampling distribution for ? skewed right since the populations are both right skewed skewed right since the differences in salaries cannot be negative approximately Normal since both sample sizes are greater than 30 approximately Normal since the sum of the sample sizes is greater than 30

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