In a random sample of eight cell phones, the mean full retail price was $486.00 and the standard deviation was $187.00. Assume the population isnormally distributed and use the t-distribution to find the margin of error and construct a 95% confidence interval for the population mean u. Interpret theresults.Identify the margin of error.(ROLxampledollarssquare dollarscell phonesis needed.)Get more help.Clear allCheck answer

Let X be the full retail price.Given,

Answered: In a random sample of eight cell…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 33 beats per minute, the mean of the listed pulse rates is x = 71.0 beats per minute, and their standard deviation is s = 14.8 beats per minute. a. What is the difference between the pulse rate of 33 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 33 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 33 beats per minute significant? a. The difference is (Type an integer or a beats per minute. decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal places as needed.) c. The z score is z = (Round to two decimal places as needed.) d. The lowest pulse rate is significantly high. significantly low. not significant. C
The net weight in pounds of a packaged chemical herbicide is uniform for 49.75 < x < 50.25 pounds.Answer the following questions:a. Calculate the PDF, mean and variance of the weight of packages
The average monthly, entry-level salary for fresh graduates was reported as $2,800. A recruiting agency believed that the mean salary of fresh entry is lower than this. The recruiting office randomly surveyed 25 entry-level graduates and found that the sample means salary is $2,200, and the sample standard deviation is $1800. Assuming t- distribution is followed, answer the following questions. Use: H0 : u>2800 H1 : u
Miss Romero noted that the mean scores of a random sample of 15 Grade 8 students who had taken a special test was 80.5. If the standard deviation of the scores was 3.1, and the sample came from an approximately normal population, find the point and interval estimate of the population mean, using 95% confidence.
The mean value of land and buildings per acre from a sample of farms is $1600, with a standard deviation of $300. The data set has a bell-shaped distribution. Using the empirical rule, determine which of the following farms, whose land and building values per acre are given, are unusual (more than two standard deviations from the mean). Are any of the data values very unusual (more than three standard deviations from the mean)? $1305 $2449 $1069 $666 $1447 $1061 Which of the farms are unusual (more than two standard deviations from the mean)? Select all that apply. A. $666 B. $1447 C. $1305 D. $2449 E. $1069 F. $1061 000000
The mean value of land and buildings per acre from a sample of farms is $1600, with a standard deviation of $100. The data set has a bell-shaped distribution. Using the empirical rule, determine which of the following farms, whose land and building values per acre are given, are unusual (more than two standard deviations from the mean). Are any of the data values very unusual (more than three standard deviations from the mean)? $1473 $1868 $1729 $1238 $1609 $1616 Which of the farms are unusual (more than two standard deviations from the mean)? Select all that apply. A. $1729 B. $1609 C. $1868 D. $1238 E. $1473 F. $1616 Which of the farms are very unusual (more than three standard deviations from the mean)? Select all that apply. A. $1609 B. $1729 C. $1473 D. $1616 E. $1238 F. $1868 G. None of the data values are very unusual.
Calculate the P-value for the given scenario. Use 4 decimal places.: A researcher claims that the mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960. A random sample of 500 children (age 2) has a mean cost of $13,725. Assume the population standard deviation is $2345.
Suppose you buy a new car whose advertised mileage is 20 miles per gallon (mpg). After driving your car for several months, you find that its mileage is 16.5 mpg. You telephone the manufacturer and learn that the standard deviation of gas mileages for all cars of the model you bought is 1.02 mpg. a. Find the z-score for the gas mileage of your car, assuming the advertised claim is correct. b. Does it appear that your car is getting unusually low gas mileage? Question content area bottom Part 1 a. z=enter your response here (Round to two decimal places as needed.)
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 34 beats per minute, the mean of the listed pulse rates is x=72.0 beats per minute, and their standard deviation is s=13.8 beats per minute. a. What is the difference between the pulse rate of 34 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 34 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 34 beats per minute significant?
You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 21 Model A washing machines is $215. Assume the population standard deviation is $19. The mean repair cost of 22 Model B washing machines is $221. Assume the population standard deviation is $20. At α=0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed.
Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest
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?

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