The average life of a smartphone is 7 years with a standard deviation of 1 year. Assuming that the livesof these phones follow approximately a normal distribution, using a random sample of n=9 find theprobability that the mean life of such smartphones fall between 6.4 and 7.2 years.A 28.60%B68.98%30.50%D42.42%

Obtain the probability that the mean life of such smart phones fall between 6.4 and 7.2 years. The…

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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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In a certain state, the daily amounts of industrial waste are normally distributed with a mean of 8,000 tons and a standard deviation of 2.000 tons. Find the probability that on a randomly selected day, the amount of industrial waste is greater than 6,000 tons. a.0.6826 b.0.1587 c.0.8413 d.0.3413
In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 68.9 inches and a standard deviation of 3.0 inches. A study participant is randomly selected. a. Find the probability that a study participant has a height that is between 68 and 72 inches.
The lifespans of domesticated cats are normally distributed, with a mean of 15.7 years and a standard deviation of 1.6 years. What is the probability that a given cat will live at least 15.7 years? one: O O O 100% 50% 68%
The average grade for an exam is 74, and the standard deviation is 7. If 11.9% of the class is given A’s (including A-, A, and A+), and the grades follow a normal distribution, what is the lowest possible grade for an A- and what is the highest possible grade for a B+? We assume that the numerical grades the students receive are always integers. Answer using z tables.
The scores of a reference population on the Wechsler Intelligence Scale for children(WISC) are normally distributed with mean 100, and standard deviation 15. If a child is selected at random, find probability that he or she has score between 100 and 120. Select one: O a. 0.4187 O b. 0.5012 O c. 0.618 O d. 0.4082
Assume that adults have IQ scores that are normally distributed with a mean of m = 105 and a standard deviation s =15. Find the probability that a randomly selected adult has an IQ between 91 and 119. The probability that a randomly selected adult has an IQ between 91 and 119 is ____.
Suppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed. 0.157, 0.182, 0.206, 0.217, 0.218, 0.236, 0.238, 0.248, 0.257, 0.264,0.275, 0.284, 0.283, 0.303, 0.321, 0.340 Using the correlation coefficient of the normal probability plot, is it reasonable to conclude that the population is normally distributed?
The Normal model N(150,10) describes the distribution of scores on the LSAT, a standardized test required by most law schools. Which of the following questions asks for a probability, and which asks for a measurement? Identify the type of problem and then answer the given question. a. A law school applicant scored at the 60th percentile on the LSAT. What was the applicant's LSAT score? b. A law school applicant scored 164 on the LSAT. This applicant scored higher than what percentage of LSAT test takers? a. Identify the type of problem. Statement a asks for a What was the applicant's LSAT score? (Round to the nearest integer as needed.) b. Identify the type of problem. Statement b asks for a This applicant scored higher than what percentage of LSAT test takers? |% (Round to the nearest integer as needed.)
1
The football coach randomly selected fifteen players and timed how long each player took to perform a certain drill. The times (in minutes) were: 3.5, 3.3, 3.2, 4.7, 4.4, 3.5, 3.9, 4.5, 4.8, 5.2, 5.4, 4.0, 4.3, 4.1, 5.1 (a) Show that this data approximates a normal distribution. (b) Determine a 90% confidence interval for the mean time for all players.
A study shows that the normal time that a customer occupied a table in a fine dine restaurant is 1.2 hours with a standard deviation of 0.4 hour. A food entrepreneur wants to find the probability that customers occupying 25 tables would have an average time of less than 1 hour. Question: 1. What is the value of the standard deviation of the sampling distribution? A. 0.08 B. 0.4 C. 1.2 D. 1

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