We are interested in estimating the proportion of graduates at a mid-sized universitywho found a job within one year of completing their undergraduate degree. We can doso by creating a 95% confidence interval for the true proportion p. Suppose we conducta survey and find out that 340 of the 430 randomly sampled graduates found jobs withinone year. Assume that the size of the population of graduates at this university is largeenough so that all our conditions for normality are satisfied.(a)who found a job within one year? In other words, what is p? Round your answerto two decimal places.What is the value of the point estimate for the proportion of graduates(b)Calculate the standard error of p.(c)the critical z-score in this case is approximately z* = 1.96. Then determine thelower and upper bounds of the interval.For a 95% confidence interval, determine the margin of error. Note that

We have given that Sample size n =430 Favorable cases x =340

Answered: We are interested in estimating the…

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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A researcher has 56 pairs of participants who each experience two different experimental conditions. The mean for the first condition was is 34.27 and the mean for the second condition is 33.67. Assuming that tcv(N = 55, α = .05) = 2.004 and sMD = .65, what is the value of the 95% confidence interval?
Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1550 miles per month. Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of 15 recent mileages of Citrus cars was taken. The mean of these 15 mileages was 1517 miles per month, and the standard deviation was 201 miles per month. Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the 0.05 level of significance, can it be concluded that the mean recent monthly mileage, μ, of Citrus cars is less than 1550 miles per month? Perform a one-tailed test. Then complete the parts below.
Health insurers and the federal government are both putting pressure on hospitals to shorten the average length of stay (LOS) of their patients. The average LOS in Canada is 4.6 days. A random sample of 18 hospitals in one province had a mean LOS of 3.8 days and a standard deviation of 1.7 days. Assume that the sampled population is approximately normal. You are to construct a 95% confidence interval to see if the population mean of 4.6 days is true. Answer the followings: a. What is/are the critical value(s)? b. What is the margin of error? c. Identify the 95% confidence interval for the mean. d. Interpret the interval in terms of this application. Circle the letter of the correct answer below. A. The state can be 95% confident that its mean LOS is within this interval. B. The state can be 5% confident that its mean LOS is within this interval. C. The state can be 95% confident that its mean LOS is outside this interval. D. The state can be 95% confident that its mean LOS is 3.8 days.…
A research scholar wants to know how many times per hour a certain strand of virus reproduces. He wants to construct the 80% confidence interval with a maximum error of 0.2 reproductions per hour. Assuming that the mean is 6.4 reproductions and the variance is known to be 5.29, what is the minimum sample size required for the estimate? Round your answer up to the next integer.
A research scholar wants to know how many times per hour a certain strand of virus reproduces. He wants to construct the 90 % confidence interval with a maximum error of 0.2 reproductions per hour. Assuming that the mean is 11.9 reproductions and the variance is known to be 5.29, what is the minimum sample size required for the estimate? Round your answer up to the next integer.
find the t sub alpha/2 when n=23 for the 95% confidence interval.
A researcher surveys a group of college students to determine the negative life events that they experienced in the past 5 years and their current feeling of well-being. For N = 18 participants with 2 or fewer negative experiences, the average well-being score was X = 42 with SS = 398. For the N = 16 participants with 5 to 10 negative experiences the average score is X = 48.6 with SS = 370. Construct a 95% confidence interval for the difference between the population means for the two groups.
In order to estimate the average GPA of all students at SCC, we selected a random sample of 36 students and found that their average GPA is 2.1 with a s. d. of 0.8.Construct a 95% confidence interval for the average GPA of all students at SCC.
Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1550 miles per month. Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of 13 recent mileages of Citrus cars was taken. The mean of these 13 mileages was 1425 miles per month, and the standard deviation was 209 miles per month. Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the 0.10 level of significance, can it be concluded that the mean recent monthly mileage, μ, of Citrus cars is less than 1550 miles per month? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary,…
A study is comparing the taste of instant coffee with fresh-brewed coffee. 50 individuals(random;y sampled) take part in the study. Each individual tastes both kinds of coffee, and declares which kind he or she prefers. The order in which the two kinds of coffee are given to each individual is randomized. 32 individuals in the sample prefer the fresh-brewed coffee. Use a suitable normal approximation to find a 95% confidence interval for the proportion of all individuals who would prefer fresh-brewed coffee. What is the lower limit of this confidence interval?
A random sample was selected from a population having a normal distribution. Calculate a 90% confidence interval estimate for for each of the following situations: (a). = 134, n = 10, s = 3.1 (b). = 3,744, n = 120, s = 8.2 (c). = 40.5, n = 9, = 2.9
A random sample of ni = 262 people who live in a city were selected and 104 identified as a "dog person." A random sample of n2 = 117 people who live in a rural area were selected and 50 identified as a "dog person." Find the 99% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area who identify as a "dog person." Round answers to to 4 decimal places. < pi - P2 -

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