2. The average gasoline price of one of the major oil companies has been $1.00 pergallon. Because of shortages in production of crude oil, it is believed that therehas been a significant increase in the average price. In order to test this belief, werandomly selected a sample of 36 of the company's gas stations and determinedthat the average price for the stations in the sample was $1.04. Assume that thestandard deviation of the population (o) is $0.12.a) State the null and the alternative hypotheses for testing the belief.b) Describe a Type I error and a Type II error for this situation.c) What is the critical value at a = .05?d)what's yourWhat is the t-statistic or z-statistic associated with the above sampleresults?

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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 weights of 1,000 men in a certain town follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds. From the data, we can conclude that the number of men weighing more than 165 pounds is about , and the number of men weighing less than 135 pounds is about .
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 38 beats per minute, the mean of the listed pulse rates is x=79.0 beats per minute, and their standard deviation is s=22.1 beats per minute. a. What is the difference between the pulse rate of 38 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 38 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 38 beats per minute significant?
For a population with mean of 50 and standard deviation of 8, what is the raw score that corresponds to z=-1.50? а. 42 b. 52 C. 70 d. 38 е. 46
b. In a class of twenty-five 15-year old girls the average height is M = 62.60 inches. The national average for girls at this age is reported as follows: µ = 63.80 inches with a standard deviation, s = 2.66 inches. Compute z score
A population has a mean u= 81 and a standard deviation o = 21. Find the mean and standard deviation of a sampling distribution of sample means with sample size n = 255. (Simplify your answer.) (Type an integer or decimal rounded to three decimal places as needed.)
A NAPA Auto Parts supplier wants information about how long car owners plan to keep their cars. A simple random sample of 25 car owners results in x=7.01and s = 3.74 years, respectively. Assume that the sample is drawn from a normally distributed population. Find a 95% confidence interval estimate of the population mean. (Note: the sample standard deviation is a good estimate of the population standard deviation.
According to the Annual survey of drugs expenditure in country X, the annual expenditure forprescription drugs is $838 per person in the Northeast region of the country. A sample of 60 individualsin the Midwest shows a per person expenditure for prescription drugs of $745. Further, it is given thatthe population standard deviation of $300 Make the final conclusion based on the analysis
A scientist has just been funded by the National Institutes of Health to conduct a very expensive study. As it happens, the budget has been cut. Therefore, the choice of laboratory for analysis of sample data is being re-visited. Suppose the choice is between laboratory “A” and “B”. Laboratory “A” has a standard deviation of one milligram and each sample analysis costs $3. Laboratory “B” has a standard deviation of two milligrams but each sample analysis costs $1. All other things being equal, is the principal investigator better off spending $9 on laboratory “A” or spending $9 on laboratory “B”?
The results from a statistics class’ first test are as follows: The average grade obtained on the test by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based on this information: a. Approximately how many people received a failing grade (less than 65) b. What percentage of people received a grade between a 70 and a 91? c. What percentage of individuals received a score whose z-score was -.70 or less? d. What grade is required in order to be in the top 15 percent? The top 10 percent? e. What percentage of people received a grade between 85 and 95? f. What percentage of people received a grade of 94 or less? g. What grade is required to be in the bottom 20%? h. What z-score is required to be in the top 40%? i. What percentage of individuals have a z-score between -1 and 1.40? j. What percentage of individuals have a z-score between 1.05 and 1.40?
The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days and a standard deviation of 15 days.In what range would you expect to find the middle 95% of most pregnancies?Between and .If you were to draw samples of size 55 from this population, in what range would you expect to find the middle 95% of most averages for the lengths of pregnancies in the sample?Between and .

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