According to a survey, the average monthly income of minimum wage earners is P17,000with the standard deviation of the population at P6,245.00. Labors groups think that theactual average income of minimum wage earners is less than the pubished amount.Taking a random sample of 15 workers, it was found that their average income is P14,375.Test the claim at 5% significance level.The test should be used is (z-test or t-test) Blank 1The test statistic is Blank 2 while the p-value is Blank 3Input answers in TWO (2) decimal places include the negative (-) symbol if necessary.(i.e. #.##)Blank 1 Add your answerBlank 2Add your answerBlank 3 Add your answer

We have given that Sample size n= 15 Sample mean = 17000 Population standard deviation = 6245

Answered: According to a survey, the average…

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 waiting time for patients at a local walk-in health clinic follows a normal distribution with a mean of 15 minutes and a population standard deviation of 5 minutes. The quality-assurance department sampled 50 patients and found that the mean waiting time was 14.25 minutes. a) What is the value of the test statistic? (Rounded to three decimal places.)
A poll of 100 randomly selected car owners revealed that the mean length of time that they plan to keep their cars is 6.75 years and standard deviation is 3.60 years. Test the claim that the mean length of time for all car owners to keep their cars is less than 7.50 years. Use a 0.05 significance level.
The mean of the commute time to work for a resident of a certain city is 27.3 minutes. Assume that the standard deviation of the commute time is 7.1 minutes. What minimum percentage of commuters in the city has a commute time within 2.5 standard deviations of the mean? What are the commute times within 2.5 standard deviations of the mean?
According to official data, the average annual expenditure on dental care in Kingston, Jamaica is at least $60,000 per person. A random sample of 125 persons showed that they spent an average of $55,000 on dental care last year with a standard deviation of $10,500. Test at the 5% significance level whether last year’s mean annual dental care expenditure per person in the parish was less than $60,000. a) find p value.
A survey found that women's heights are normally distributed with mean 63.3 in. and standard deviation 2.9 in. The survey also found that men's heights are normally distributed with mean 69.7 in. and standard deviation 3.6 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 55 in. and a maximum of 64 in. What's the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park?
Total blood volume (in ml) per body weight is important in medical research. For healthy adults, the red blood cell volume mean is about 34 ml/kg. Red blood cell that is too low or too high can indicate a medical problem. Suppose that Roger has 20 blood tests and the mean is 35.4 ml/kg. Suppose that red blood cell volume follows normal distribution with standard deviation 2.34 ml/kg. With 5% significance level, test that the mean blood cell volume is different from 28ml/kg. Which test to use? a.) None of the answer choices b.) T-test for the Mean c.) T-test for Proportion d.) Z-test for the Mean e.) Z-test for Proportion
Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women
A particular IQ test is standardized to a Normal model, with a mean of 80 and a standard deviation of 8. A group of 8,000 people had participated in a study based on IQ. Using the Empirical rule determine about how many of them should have IQ scores more than 72?
The mean mathematics SAT score for all people who took the SAT in a particular year was 514 with a standard deviation of 117. Assume the mathematics SAT score is normally distributed. d) Use the Empirical Rule to approximate the percentage of people who take the SAT that will have a mathematics SAT score between 163 and 631 . There is about % of people who take the SAT that will have a mathematics SAT score between 163 and 631 . e) Use the Empirical Rule to approximate the percentage of people who take the SAT that will have a mathematics SAT score of at least 280 ? There is about % of people who take the SAT that will have a mathematics SAT score of a least 280 .
According to official data, the average annual expenditure on dental care in Kingston, Jamaica is at least $60,000 per person. A random sample of 64 persons showed that they spent an average of $55,000 on dental care last year with a standard deviation of $10,350. Test at the 5% significance level whether last year’s mean annual dental care expenditure per person in the parish was less than $60,000. c) find value of test statistic.

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