The data table contains waiting times of customers at a bank, where customers enter a single waiting line that feeds three tellerwindows. Teststandard deviation of waiting times is less than 2.4 minutes, which is the standard deviation of waiting times at the same bank when separate waiurng es areused at each teller window. Use a significance level of 0.01. Assume that the sample is a simple random sample selected from a normally distributedpopulation. Complete parts (a) through (d) below.E Click on the icon to view the data.that thea. Identify the null and alternative hypotheses. Choose the correct answer below.A. Hg: a=24 minutesHA o<24 minutesOB. Ho: o2 24 minutesHAa<24 minutesC. Hg: a = 2.4 minutesO D. Ho: a<24 minutesHAo24 minutesHA o424 minutesb. Compute the test statistic.(Round to two decimal places as needed.) Customer Waiting Times(in minutes)8.96.27.17.16.47.87.17.77.86.68.26.66.77.27.67.37.56.35.37.77.98.97.56.16.28.27.38.36.47.96.27.98.88.86.77.56.47.86.67.27.56.85.47.68.36.38.77.88.37.17.56.26.46.37.97.96.57.26.77.6

The random variable waiting time follows normal distribution. We have to test whether the standard…

Answered: The data table contains waiting times…

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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To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
With a mean of 10 and standard deviation of 5. Assume that the population data are normally distributed. Calculate the z-score for a raw score of 5. What proportion of the distribution is equal to or less than this score?
Speeds of cars in an expressway are monitored by high-speed camera units. The minimum speed of cars in the expressway is 60 kph and the maximum speed is 100 kph. Cars going below the minimum, or going above the maximum, are apprehended. Suppose that speed of the cars on the expressway are normally distributed with a mean of 75kph and a standard deviation of 10 kph. What percentage of the cars travelling on the expressway will not be apprehended? Note: Write your answer as percentage with two decimal places (i.e. 87.26%).
For a certain type of computers, the length of time between charges of the battery is normally distributed with a mean of 62 hours and a standard deviation of 11 hours. John owns one of these computers and wants to know the number of hours when the computer would have 12% of its battery life left. Sketch the region in question. Write a sentence describing what your answer represents about the problem's specefics.
Find out mean deviation from mean by applying direct method from the following distribution: Values: 48, 50, 46, 44, 40, 42, 35, 30, 20, 15.
The distribution of the student heights at a large college is approximately bell shaped. If the mean height is 66 inches,and approximately 95% of the heights fall between 32 and 100 inches, then, the standard deviation of the heightdistribution is approximately equal to
The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 2700 miles. What warranty should the company use if they want 96% of the tires to outlast the warranty?
A reading class can read an mean of 175 words per minute and a population standard deviation of 20 words per minutes. The top 3% of the class is to receive a special award for a random sample of 49 students. What is the minimum average number of words per minute a student would need to read in order to get the award for a random sample of 49 students? Assume the data is normally distributed.
Please write in complete thx. Two machines used to fill soft drink containers are being compared. The number of containers filled each minute is counted for 26 minutes for each machine. During the 26 minutes, machine 1 filled an average of 69.2 cans per minute with a sample standard deviation of 2.1 cans per minute, and machine 2 filled an average of 68.5 cans per minute with a sample standard deviation of 3.1 cans per minute. Assume both populations are normally distributed and the population standard deviations are unequal. Can you conclude that machine 1 is faster than machine 2 at the α = 0.05 level? State the relevant hypotheses, compute the test statistic and p- value, and state your conclusion in context. Describe what committing a Type I error would be in this situation. Describe what committing a Type II error would be in this situation.
Two companies, A and B, drill wells in a rural area. Company A charges a flat fee of 3095 dollars to drill a well regardless of its depth. Company B charges 1180 dollars plus 9 dollars per foot to drill a well. The depths of wells drilled in this area have a normal distribution with a mean of 240 feet and a standard deviation of 35 feet. Find the mean amount charged by Company B to drill a well. Enter the exact answer. μ = i dollars
A random sample of 18 light bulbs is drawn from a normally distributed population. The population has mean and standard deviation are 517 hours and 39 hours, respectively. What is the mean of the sampling distribution the sample mean?
he average amount of time boys and girls spend playing sports each week is believed to be the same. A sample of equal size n is taken from boys and girls , the mean of the boys is 29 hours with standard deviation 4 hours and the mean of the girls is 27 hours with standard deviation 3 hours Both populations have a normal distribution. The calculated value is 1.2 n =

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