The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is skewed right. However, records indicate that the mean time is 16.4 minutes, and the standard deviation is 4.6 minutes. Complete parts (a)through (c).(a) To compute probabilities regarding the sample mean using the normal model, what size sample would be required?O A. The normal model cannot be used if the shape of the distribution is skewed right.O B. The sample size needs to be greater than or equal to 30.OC. Any sample size could be used.O D. The sample size needs to be less than or equal to 30.(b) What is the probability that a random sample of n= 35 oil changes results in a sample mean time less than 15 minutes?The probability is approximately.(Round to four decimal places as needed.)(c) Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 35 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, therewould be a 10% chance of the mean oil-change time being at or below what value? This will be the goal established by the manager.There is a 10% chance of being at or below a mean oil-change time of minutes.(Round to one decimal place as needed.)

The distribution of average oil-change time for a defined sample size (i.e., sample number of oil…

Answered: (a) To compute probabilities regarding…

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 distribution of income in some Third World countries is considered very right skewed (many very poor people, very few middle income people, and even fewer wealthy people). Suppose we pick a country with a severely right skewed distribution. Let the average salary be $2,000 per year with a standard deviation of $8,000. We randomly survey 1,000 residents of that country. a. What is the sampling distribution of the sample mean, including name of the distribution, its mean, error, and standard ?
In addition to equal variances, what other assumption is necessary in (a)? A. In addition to equal variances, it must be assumed that the population sizes are equal. B. In addition to equal variances, no other assumptions must be made because the sample sizes are large enough (greater than or equals 30 for each sample). C. In addition to equal variances, it must be assumed that the samples are specifically chosen and not independently sampled. D. In addition to equal variances, it must be assumed that the sample means are equal.
1. Stephen would like to check if his claim is true upon knowing that the average grade in Mathematics of his class is at least 85%. He got a sample from his classmates listed as follows: 93, 88 , 90,95 , 83, 85, 77 , 78 , 90, 80 a. What statistical tool is suited to determine if his class is true? Why? b. Assume that the distribution is normal, what would Stephen's conclusion be if the level of significance is 5%?
Distribution of sample means e.
4. For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, α is the level of significance, p is the sample proportion, and n is the sample size. If it can be used, test the claim. Claim: p>0.44; α=0.08. Sample statistics: p=0.52, n=350 Question content area bottom Part 1 Let q=1−p and let q=1−p. A normal sampling distribution ▼ can cannot be used here, since ▼ n ModifyingAbove p with caretnp npnp ▼ less than< greater than or equals≥ 5 and ▼ nqnq n ModifyingAbove q with caretnq ▼ less than< greater than or equals≥ 5.
1. We want to investigate whether traffic accidents are more likely on certain days of the week on certain road sections. Which of the following tests best fits the situation?Choose one:a. Two-way analysis of variance OR b. Compatibility test OR c. Paired t-test 2. In which of the following can it be assumed that the sample comes from a normal distribution?Choose one:a. In the Runs test (random test)b. In the compatibility testc. In a two-way analysis of variance
1. A sample size of 36 is to be selected from a population that has a mean of u- 45 and standard deviation a of 10. a. Find the mean of the sampling distribution b. Find the standard error of the sampling distribution. c. What is the probability that this sample mean will be between 40 and 50?
what assumptions are required for a z-score hypthesis test? A. all of the above B. The score in the sample are independant observations C. the scores are obtained by random sampling D. the distribution of sample means is normal
The distribution of income in some Third World countries is considered very right skewed (many very poor people, very few middle income people, and even fewer wealthy people). Suppose we pick a country with a severely right skewed distribution. Let the average salary be $2,000 per year with a standard deviation of $8,000. We randomly survey 1,000 residents of that country. a. What is the sampling distribution of the sample mean, including name of the distribution, its mean, error, and standard ?
a) Determine the standard deviation (s) of sunflower heights in the test plot which wasnot fertilized and the Pseudo-Standard deviation (PSD) of sunflower heights in the test plotwhich was fertilized. b) Consider the following three statements A.If the median of X is greater than the mean of X than the distribution of X ispositively skewed. B.For Normal populations the median and the mean are approximately equal. C.The median and the Inter-quartile range are measures of variability in apopulation. c) Consider the following three statements A.The correlation between two positive quantities is always positive. B.If the correlation between X and Y is negative than the slope of the regressionline for predicting Y from X is negative. C.Pearsons correlation coefficient is always between -1 and +1. This is notnecessarily true for Spearmans correlation coefficient
a. Determine the value of ‘***’? b. Explain what is meant by Sampling Distribution ofthe Mean in the context of MBA graduates’ startingsalaries? c. What type of distribution will the SamplingDistribution of the Mean for MBA graduates’ startingsalaries follow? Give reasons for your answer. d. What are the available point estimator andestimate of the population mean starting salary? e. Which of these estimators in ‘Part (c)’ above isunbiased? Give reasons for your answer? f. Identify an available point estimate for thepopulation variance? g.

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