Individuals filing federal income tax returns prior to March 31 received an average refund of $1,080. Consider the population of "last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15).a. A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lowerrefunds than do early filers. Develop appropriate hypotheses such that rejection of Ho will support the researcher's contention.Ho: µ is SelectHa: u is Selectb. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $920. Based on priorexperience a population standard deviation of o = $1,800 may be assumed. What is the p-value (to 4 decimals)?c. Using a = .05, can you conclude that the population mean refund for "last minute" filers is less than the population mean refundfor early fliers?Select vAnswer the next three questions using the critical value approach.d. Using a = .05, what is the critical value for the test statistic (to 3 decimals)?If your answer is negative use minus"-"sign.e. State the rejection rule: Reject H o if z is Selectf. Using a = .05, can you conclude that the population mean refund for "last minute" filers is less than the population mean refund|the critical value.for early filers?Select v

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Answered: a. A researcher suggests that a reason…

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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2. The owner of a small convenience store is trying to decide whether to discontinue sellingmagazines. He suspects that only 5% of the customers buy magazines and thinks that hemight be able to sell something more profitable. Before making a final decision, he keepstrack of the number of customers who buy magazines on a given day.a. On one day, he had 280 customers. Assuming this day was typical, what would be themean and standard deviation of the number of customers who buy magazines eachday?b. What is the probability that less than 10 people will buy a magazine that day? c. What is the probability that more than 20 people will buy a magazine that day?
The National Assessment of Educational Progress (NAEP) is a nationwide assessment of students' proficiency in nine subjects: mathematics, reading, writing, science, the arts, civics, economics, geography, and U.S. history. The main NAEP assessments are conducted annually on samples of students from grades 4, 8, and 12. Suppose in 2001, the geography scores for male students had a mean of 264 with a standard deviation of 34. Assume that these scores are normally distributed with the given mean and standard deviation. The normal curve representing this distribution of the scores is symmetrical about a vertical line through The value 162 is under the curve between 162 and 366 is approximately below the mean, and the value 366 is Similarly, 95.44% of the male students scored between and above the mean. The area
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State the conclusion based on the results of the test. According to the Federal Housing Finance Board, the mean price of a single-family home two years ago was $299,600. A real estate broker believes that because of the recent credit crunch, the mean price has decreased since then. The null hypothesis is not rejected. Choose the correct answer below. O A. There is not sufficient evidence to conclude that the mean price of a single-family home has decreased from its level two years ago of $299,600. O B. There is sufficient evidence to conclude that the mean price of a single-family home has decreased from its level two years ago of $299,600. O C. There is sufficient evidence to conclude that the mean price of a single-family home has increased from its level two years ago of $299,600. O D. There is not sufficient evidence to conclude that the mean price of a single-family home has increased from its level two years ago of $299,600.
2. Workers in a large service industry have an average wage of $13.00 per hour with a standard deviation of $0.50. The industry has 64 workers of certain ethnic group. These workers have an average wage of $12.80 per hour. Is it reasonable to assume that the wage rate of the ethnic group is equivalent to that of a random sample of workers from those employees in the service industry?
Suppose population 1 is all blue cars sold at used car auctions, and the mean sale price of all such blue cars is $24,579 with a standard deviation of $3,691. Additionally suppose population 2 is all red cars sold at used car auctions, and the mean sale price of all such red cars is $21,948 with a standard deviation of $4,028. If a simple random sample of 47 blue cars sold at used car auctions is selected and the mean sale price of the 47 blue cars in the sample is determined, and if an independent simple random sample of 59 red cars sold at used car auctions is selected and the mean sale price of the 59 red cars in the sample is determined, if appropriate describe completely the sampling distribution of X₁ - X₂ 1 Do we have 2 independent simple random samples? No Yes
An auditor, pressed for time and on a low budget, is concerned with account errors on customer credit. She takes a sample of 25 accounts, and finds the account error, on average, is $-23, with a standard deviation of $16. Is the claim of the manager that errors average only $-10 supported? In this case, the null hypothesis is what?
2) A job placement director claims that the average starting salary for nurse is $26000. A sample of 18 nurses has a mean salary of $25620 and a standard deviation of $680. Is there enough evidence to reject the directors claim at a = 5% LOS?
In each part, we have given the value obtained for the test statistic, z, in a one-mean z-test.We have also specified whether the test is two tailed, left tailed, or right tailed. Determine the P-value in each case and decide whether, at the 5% significance level, the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis. a. z = -1.25; left-tailed testb. z = 2.36; right-tailed testc. z = 1.83; two-tailed test
The lecturer are concerned that students who enrolled for the course this semester are spending more time playing online games than revising for their upcoming test. In order to pass the test, students need to spend at least 6 hours per week on the course materials. They conducted a survey of 120 students from Section 10G and 15P for which the result shows that the mean time they spent studying for the course in a week is 5.7667 hours with a standard deviation of 1.6487 hours. Using the critical value z0.025 =1.96 , perform hypothesis testing for mean to test whether or not students spent at least 6 hours weekly to study for the course.
In a sample of 80 business trips taken by employees in the HR department, a company finds that the average amount spent for the trips was $1580 with a standard deviation of $350. In a sample of 80 trips taken by the employees in the sales department is $1750 with a standard deviation of $550. When testing the hypothesis that the averageamount spent on trips taken by the salesepartment are higher than those taken by the HR department, if the test statistic is 2.33 and the critical value is 1.96 then what is your conclusion concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesis

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