2. For the following scenarios, identify whether you should use z or t in a confidence interval calcu-lation. (You don't have to do anything else.)(Scenario 1) Minnie owns a boutique that sells hair-bows and bow-ties. On a normal day, Minnie makesmany sales. The average selling price is approximately normally distributed with a standarddeviation of $0.72. Minnie is interested in the average selling price of products sold on oneday. A sample of 36 sales were investigated from that day, and it was found that theselling price was $4.78. A 93% confidence interval was created.average

The 93% confidence interval for the average selling price of products sold on one day, will signify…

Answered: 2. For the following scenarios,…

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 30 month study is conducted to determine the difference in rates of accidents per month between two departments in an assembly plant. If a sample of 12 from the first department averaged 12.3 accidents per month with a standard deviation of 3.5, and a sample of 9 from the second department averaged 7.6 accidents per month with standard deviation of 3.4, find: The t-value for a 95% confidence interval is: A. 2.09302 B. 1.724718 C. 2.08596 D. 1.729133 E. none of the preceding
For each of the following questions, indicate whether it is best assessed by using a confidence interval or a hypothesis test or whether statistical inference is not relevant to answer it. (answer all please!!) Do a majority of adults riding a bicycle wear a helmet? On average, how many more minutes do ladies spend in the restroom than men? Is the median Exam 1 score for STA 270 students in section 10 any different from that of STA 270 students in section 11? What is the average daily calorie intake of 20-year-old males? In 2010, what percent of the US Senate voted to confirm Elena Kagan as a member of the Supreme Court?
(c) An epidemiologist is worried about the ever increasing trend of malaria in a certain locality and wants to estimate the proportion of people infected in the peak malaria transmission period. If he takes a random sample of 150 people in that locality during the peak transmission period and finds that 60 of them are positive for malaria, find i. 99% confidence interval for the proportion of the whole infected people in that locality during the peak malaria transmission period.
1. The following table illustrates the BMI for a number of patients recently enrolled in a study investigating the relationship between BMI and type 2 diabetes. Participant BMI (kg/m2) A 26.5 B 19.2 C 29.7 D 27.4 E 30.2 F 28.9 A) Assuming the participants can be considered to be normally distributed, and that they comefrom a population with a σ=2.4 kg/m2, calculate a 95% confidence interval for the mean BMI ofthe population for which they represent.B) Correctly interpret the confidence interval you found above.
An automotive company is considering two types of batteries for its automobile. Sample information on the life of the battery is collected for 20 batteries of type A and 20 batteries of type B. The summary statistics are XA = 40.21, xB = 39.53, SA = 1.23, and SB= 1.59. Assume the data on each battery are normally distributed and assume σA = σB.(a) Find a 95% confidence interval on μA – μB.(b) Draw some conclusion from (a) that provides some insight into whether A or B should be adopted.
1. A recent survey showed that from a sample of 500 packages delivered by a Postal Service, 480were delivered on time. a) Construct a 95% confidence interval for the proportion of all packages that are deliveredon time by the Postal Service.
A psychologist is studying the effects of lack of sleep on the performance of various perceptual-motor tasks. After a given period of sleep deprivation, a measurement of reaction time to an auditory stimulus was taken for each of 36 adult male subjects. The reaction times (in seconds) are summarized as follows: x = 1.82, s = 0.22 Previous psychological studies show that the true mean reaction time for non-sleep-deprived male subjects is 1.70 seconds. b) Find a 95% confidence interval for the mean reaction time for sleep-deprived male subjects.
In exercise 7, the data on y = annual sales ($1000s) for new customer accounts andx = number of years of experience for a sample of 10 salespersons provided the estimatedregression equation yˆ = 80 + 4x. For these data x = 7, o(xi − x)2 = 142, and s = 4.6098.a. Develop a 95% confidence interval for the mean annual sales for all salespersons withnine years of experience.b. The company is considering hiring Tom Smart, a salesperson with nine years of experience.Develop a 95% prediction interval of annual sales for Tom Smart.c. Discuss the differences in your answers to parts (a) and (b).
The National Weight Control Registry tries to mine secrets of success from people who lost at least 30 pounds and kept it off for at least a year. It reports that out of 2,720 registrants, 439 were on a low-carbohydrate diet (less than 90 grams a day). a. Develop a 95% confidence interval for the proportion of people on a low-carbohydrate diet.b. Is it possible that the population percentage is 16%? c. How large a sample is needed to estimate the proportion within 0.55%?
In exploring possible sites for a convenience store in a large neighbourhood, the retail chain wants to know the proportion of ratepayers in favour of the proposal. If the estimate is required to be within 0.1 of the true proportion, would a random sample of size n = 100 from the council records be sufficient for a 95% confidence interval of this precision?
The director of the rabies control section in a city health department wishes to draw a sample from the department's records of dog bites reported during the past year in order to estimate the mean age of persons bitten. He wants a 95 percent confidence interval, he will be satisfied to let E = 2.5, and from previous studies he estimates the population standard deviation to be about 15 years. How large a sample should be drawn?
wo groups of men, those dressed as Luke Skywalker and those dressed as storm troopers were measured for height in inches. Data in table below: Lukes Storm Troopers xbar=67 xbar = 70 n=14 n=11 sd = 1 sd = 3 Using this data, and the assumption that the population variances are equal, give a 90% confidence interval for mu (storm troopers) - mu (lukes) = μS - μL

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