4. In a population of 10,000 businesses, we want to estimate the averagesales Y For that, we sample n = = 100 businesses using simple randomsampling. Furthermore, we have at our disposal the auxiliary information'number of employees', denoted by x, for each business. The datacoming from the sample are:-- X = 50 employees (true mean for x ),- Ŷ = 5.2 × 10 Euros (average sales in the sample),- X = 45 employees (sample mean),- s² = 25 x 1010 (sample variance of y₁),-2- s² = 15 (sample variance of x^),xp=0.80 (sample linear correlation coefficient between x and y ),a. Calculate the ratio estimate of Ỹ. Is this estimate unbiased orbiased? Explain.b. What is the ‘true' variance formula for this estimate?c. Calculate an estimate of the true variance. Is the variance estimateunbiased or biased? Explain.d. Give a 95% confidence interval for Y.

answers are given below clearly.Explanation:

Answered: 4. In a population of 10,000…

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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5. True or false The sampling distribution of the mean will have the same mean as the original population from which the samples were drawn.
25) A data set has a mean equals (7), if we multiply all values of the data set by (3), then the mean will become (21). Select one: True False
Suppose that the average salary of health systems professionals is normally distributed with µ=KES 40,000 and σ = KES 10,000. What proportion of professionals will earn KES 24,800 or less? What proportion of professionals will earn KES 53,500 or more? What proportion of professionals will earn between KES 45,000 and KES 57,000? Calculate the 80th percentile. Calculate the 27th percentile
13. Twenty-five students were randomly selected and asked “How many hours of TV did you watch this weekend?" The sample mean for the data is = 5 hours. The dotplot below shows the distribution of the sample mean hours of TV watched for 500 random samples of size 25 taken with replacement from the original sample. (a) Use the results of the simulation to approximate the margin of error for the estimate of the mean number of hours of television watched. (b) Interpret the margin of error. 4.5 Simulated sample mean 5.5 Distribution of Simulated Mean #samples mean SD 500 4.969 0.288
6. For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.How hard is it to reach a businessperson by phone? Let p be the proportion of calls to businesspeople for which the caller reaches the person being called on the first try. (a) If you have no preliminary estimate for p, how many business phone calls should you include in a random sample to be 80% sure that the point estimate p̂ will be within a distance of 0.03 from p? (Round your answer up to the nearest whole number.)____phone calls(b) A report states that businesspeople can be reached by a single phone call approximately 22% of the time. Using this (national) estimate for p, answer part (a). (Round your answer up to the nearest whole number.)____phone calls
6. A kinesiologist wanted to examine the effects of temperature and humidity on exercise performance. Each participant was asked to walk on a treadmill at a normal pace for 60 minutes, and the kinesiologist recorded the distance walked (miles). She assigned participants to one of 4 conditions that varied in temperature (normal or high) and humidity (normal or high). Mean distance walked by the four groups are shown in the table below. Assume a = .05 and Tukey HSD = 0.39. Normal temperature High temperature Normal humidity M = 3.00 M = 2.80 High humidity M = 2.80 M = 2.00 Complete the following conclusion: The factorial ANOVA revealed significant main effects of temperature [F (1, 24) = 25.00, p<.05] and humidity [F (1, 24) = 19.65, p<.05] and a significant Temperature x Humidity interaction [F (1, 24) = 9.25, p < .05].
b. The compensation received by the highest-paid executives of 12 international companies (in $'000) is as follows: 801 820 2215 803 850 856 899 846 902 856 911 947 i. Find the mean and the median compensation of the executives. Comment on the skewness of the distribution of the executives' compensations. 2
The number of hours worked (per week) by 400 statistics students are shown below in Table 1. Number of Hours Frequency 0 - 9 20 10 - 19 80 20 - 29 200 30 - 39 100 Refer to Table 1. ' 1. The class width for this distribution Group of answer choices is 39, which is: the largest value minus the smallest value or 39 - 0 = 39. is 10. is 9. varies from class to class. 2.The number of students working 19 hours or less Group of answer choices is 180. is 300. is 100. is 80. 3.The relative frequency of students working 9 hours or less Group of answer choices is 0.95. is 100. is 20. is 0.05.
The Longmont Computer Leasing Company wishes to estimate the mean number of pages that will be printed in a month on its leased printers. The plan is to select a random sample of printers and record the number on each printer's counter at the beginning of May. Then, at the end of May, the number on the counter will be recorded again and the difference will be the number of copies on that printer for the month. The company wants the estimate to be within ±140 pages of the true mean with a 98%confidence level. Complete parts a and b below. a. The standard deviation in pages printed is thought to be about 1,100 pages. How many printers should be sampled? How many many printers should be sampled?b.Suppose the standard deviation is off+- by 10%. What percentage change in the required sample size would this produce?
12. x: 471.7 659.3 740.5 790.5 781.3 1047.3 969.5 1206.1 y: 446.3 680.2 725.2 765.3 740.4 1005.6 936.3 1156.8 Using the data find the y mean 219.60 833.28 205.42 807.01
1. Kindly help me to answer this problem with complete solution. Thank you’
23. A TV station claims to its advertisers that the mean number of minutes people view the station is 30. The station conducted a survey of 500 of their viewers who commute. The sample statistics are shown below. 29.11 Sx 20.718 A simulation was run 1,000 times based on the results of the survey. The results of the simulation appear below. 40 samples = 1000 mean = 29.101 SD = 0.934 30- 10 27.0 28.0 29.0 30.0 31.0 32.0 Time Based on the simulation results, is the claim that viewers watch the station for an average of 30 minutes plausible? Explain your response, including an interval containing the middle 95% of the data, rounded to the nearest hundredth. Frequency

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