The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomesbetween $30,000 and $60,000 itemized deductions on their federal income tax return.The mean amount of deductions for this population of taxpayers was $16,137. Assumethat the standard deviation is o = $2,397. Use z-table.a. What is the probability that a sample of taxpayers from this income group who haveitemized deductions will show a sample mean within $250 of the population mean foreach of the following sample sizes: 30, 50, 100, and 400? Round your answers to fourdecimals.n = 30n = 50n = 100n = 400b. What is the advantage of a larger sample size when attempting to estimate thepopulation mean? Round your answers to four decimals.A larger sample - Select your answer -within a specified distance of the population mean. In the automobile insuranceexample, the probability of being within +250 of u ranges fromthe probability that the sample mean will befor a sampleof size 30 tofor a sample of size 400.

Here AS PER POLICY I SHOULD HAVE TO CALCULATE 3 SUBPART ONLY EVEN THOUGH I HAVE CALCULATED 4

Answered: a. What is the probability that a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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a. In a classic example the student in an Engineering Mathematics class argue that the volume of water contained in the wiper reservoir of the Mazda Mantis brand of car was not 0.25 liter whilst some of the student said the volume was more. To test the volume of the wiper reservoir of Mazda Mantis, some students with this brand of car brought their cars to the University's mechanical workshop where the volume of the wiper reservoirs were measured by the Mechanical Instructor. The mean was µ = 0.22 and standard deviation o = 0.09. If 25 students brought their cars to the mechanical workshop, what conclusion did they reach at 5% level of significance?
A random sample of 1756 Texas government employees were selected for a study on race. The table below shows the results of the survey. Observed Frequencies of Race from the Sample Outcome Observed Frequency White 720 Hispanic 755 Black 158 Other 123 The racial distribution for the state of Texas is shown in the second column below. Fill in the expected frequencies. (Round to the nearest whole number). Frequencies of Race Outcome Expected Percent Expected Frequency White 42 Hispanic 40 Black 10 Other 8
A set of N-8 scores has a mean of a11. I 16 points are added to one of the scores, what is the new value for the population mean? O 12 O 10 O 13 O 11
The General Social Survey is an annual survey given to a random selection of about 1500 adults in the United States. Among the many questions asked are "What is the highest level of education you've completed?" and "If you're employed full-time, how many hours do you spend working at your job during a typical week?" In a recent year, 1079 respondents answered both questions. The summary statistics are given in the chart below. (The sample data consist of the times, in hours per week, that were given by the respondents.) Sample Sample Sample size Groups mean variance Less than h.s. High school Bachelor's 258 40.9 101.8 263 41.8 97.5 270 42.2 94.4 Graduate 288 43.0 98.7 Send data to calculator Send data to Excel To decide if there are any differences in the mean hours per week worked by these different groups, we can perform a one-way, independent-samples ANOVA test. Such a test uses the following statistic. Variation between the samples F= Variation within the samples For the data from…
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My electric bills for June, July, and August last summer were $75, $75, and $150, respectively. What was the mean amount for the three bills? Question 14 options: $75 $100 $125 $150
The General Social Survey is an annual survey given to a random selection of about 1500 adults in the United States. Among the many questions asked are "What is the highest level of education you've completed?" and "If you're employed full-time, how many hours do you spend working at your job during a typical week?" In a recent year, 1116 respondents answered both questions. The summary statistics are given in the chart below. (The sample data consist of the times, in hours per week, that were given by the respondents.) Sample Sample Sample Groups size mean variance Less than 281 41.6 115.8 h.s. High school 260 43.3 96.3 Bachelor's 294 42.5 100.5 Graduate 281 44.2 108.2 Send data to Excel Based on these summary statistics, we perform a one-way, independent-samples ANOVA test to determine if there is a difference in the mean hours worked in a typical week among the four populations of workers. (a) The results of this ANOVA are given in the incomplete ANOVA table below. Complete the…
d. Let’s define a “binge watcher” as someone in the upper 5% of the distribution of minutes watching TV. How many minutes does a “binge watcher” spend per day watching TV? (Round your intermediate calculations and final answer to 1 decimal place.)
A researcher collects data from six groups with four individuals in each group. If the means square between groups is 5.08, what is the value of the sums of squares between groups? Type your answer...
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it is assumed that a production process may produce some defective items. it is found that 12 item are defective out of 100 randomly selected items. What is the point estimate of the population production of non-defective item of this production process? a. 0.12 b. 0.92 c. 0.08 d. 0.88

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a. What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $250 of the population mean for each of the following sample sizes: 30, 50, 100, and 400? Round your answers to four decimals. n = 30 n = 50 n = 100 n= 400