The human resources department of a consulting firm gives a standard creativity test to a randomly selected group of new hires every year. This year, 65 newhires took the test and scored a mean of 113.2 points with a standard deviation of 13.4. Last year, 100 new hires took the test and scored a mean of 116.8standard deviation of 14.6. Assume that the population standard deviations of the test scores of all new hires in the current year and the testscores of all new hires last year can be estimated by the sample standard deviations, as the samples used were quite large. Construct a 95% confidence intervalpoints withfor 4-, the difference between the mean test score u, of new hires from the current year and the mean test score , of new hires from last year. Then findthe lower limit and upper limit of the 95% confidence interval.Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list offormulas.)Lower limit:Upper limit:ExplanationCheck2021 McGraw H Education. All Rights Reserved Terms of Use I Privacy I AccessibilityMacBook Air888 4FI%23&12356.8QER.YADHKCValtalttioncommandcommandoption

The confidence interval is the combined value of sample statistic, standard error and the critical…

Answered: The human resources department of a…

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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For a study conducted by the research department of a pharmaceutical company, 245 randomly selected individuals were asked to report the amount of money they spend annually on prescription allergy relief medication. The sample mean was found to be $17.80 with a standard deviation of $4.30. A random sample of 225 individuals was selected independently of the first sample. These individuals reported their annual spending on non-prescription allergy relief medication. The mean of the second sample was found to be $18.20 with a standard deviation of $3.60. As the sample sizes were quite large, it was assumed that the respective population standard deviations of the spending for prescription and non-prescription allergy relief medication could be estimated as the respective sample standard deviation values given above. Construct a 90% confidence interval for the difference H₁ H₂ between the mean spending on prescription allergy relief medication (₁) and the mean spending on non-prescription…
The VP of HR for a large company is interested in the distribution of sick leave hours for employees at the company. A recent study revealed that the distribution was consistent with a normal model, with a mean of 58 hours per year, and a standard deviation of 14 hours. An office manager of one division believes that during the past year, two of the division’s employees have taken excessive sick leave. One took 74 hours and the other used 90 hours. What would you conclude about the division manager’s claim
The City of Calgary reports that the number of vehicles that use the Crowchild Trail bridge various on weekdays. This variation can be modeled by the Normal distribution with a mean of 107500 vehicles and a standard deviation of 8800 vehicles per day. You pick a weekday at random and set out a traffic counter on both the north-bound and south-bound lanes of the Crowchild Trail bridge. At the end of a 24-hour period, you are to download the data from the traffic counter and add the two figures to represent the total vehicle usage,X. (a) What is the probability that the total vehicle usage figure will be more than 120500 vehicles? P(X≥120500)= (b) What is the probability that the total vehicle usage figure will be between 80000 and 101000? P(80000≤X≤101000)= (c) Find the 91 percentile. That is, 91% of the time, the total number of vehicles that use the Crowchild Trail bridge in a 24-hour weekday period is at most how many? (d) 9% of the time, the total number of vehicles that use the…
A Statistics instructor wanted to compare the scores on the same final exam given to students at a local community college and local university. The Statistics instructor feels that students at the community college would be better prepared and have higher exam scores on the final exam. After grading the final exams from both institutions, the Statistics instructor found that for a sample of 36 community college students, the sample had a mean score of 84 with a standard deviation of 3.4. A sample of 45 university students had a mean score 79 with a standard deviation of 2.6. Construct a 95% confidence interval for the difference between population mean exam scores. Round your final results to one decimal place. _____________ ≤ ??? − ????? ≤ ______________
For a study conducted by the research department of a pharmaceutical company, 235 randomly selected individuals were asked to report the amount of money they spend annually on prescription allergy relief medication. The sample mean was found to be $17.80 with a standard deviation of $4.30 . A random sample of 250 individuals was selected independently of the first sample. These individuals reported their annual spending on non-prescription allergy relief medication. The mean of the second sample was found to be $18.20 with a standard deviation of $4.00 . As the sample sizes were quite large, it was assumed that the respective population standard deviations of the spending for prescription and non-prescription allergy relief medication could be estimated as the respective sample standard deviation values given above. Construct a 90% confidence interval for the difference −μ1μ2 between the mean spending on prescription allergy relief medication ( μ1 ) and the mean…
A published study says that 95 percent of American children are vaccinated against measles, with a standard deviation of 1.5 percent. You draw a sample of 100 children from your community and check their vaccination records, to see if the vaccination rate in your community is the same as the nationalaverage. What distribution will you use for this test, and why?
You are a teacher at a gifted school, and you feel that the newest class of students is even brighter than usual. The mean IQ at your school is 127, and the mean IQ of this new class is 134. In total, there are 32 students in this new class. Also, the standard deviation of the school’s IQ is 8. Use the eight steps to test whether this new class of students is significantly more intelligent than the school’s student body overall.
Suppose that you randomly survey death records for people born in 1900 in Louisiana and compared the life span of two different ethnicities. Of the 109 individuals sampled from ethnicity 1, the mean life span was 45.5 years with a standard deviation of 18.2 years. Of the 105 individuals sampled from ethnicity 2, the mean life span was 44.9 years with a standard deviation of 11.4 years. Conduct a hypothesis test with a 10% level of significance to see if the mean life spans in Louisiana were the same for the two ethnicities. Step 1: State the null and alternative hypotheses. Ho: µ1 – µ2 =v Ha:H1 – µ2 # v (So we will be performing a two-tailed ♥ test.)
Brianna and Miranda began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Brianna took a test in Art History and earned a 78.3, and Miranda took a test in Social Studies and earned a 61.2. Use the fact that all the students' test grades in the Art History class had a mean of 71.3 and a standard deviation of 11.7, and all the students' test grades in Social Studies had a mean of 62.3 and a standard deviation of 8.2 to answer the following questions. a) Calculate the z-score for Brianna's test grade. [Round your answer to two decimal places.] = 2 b) Calculate the z-score for Miranda's test grade. [Round your answer to two decimal places.] c) Which person did relatively better? Brianna O Miranda They did equally well. Submit Question logi $22 3 FI F5 F7 % & W R T. Y. こ9 * CO
Five students took a self-confidence test. Their deviation scores were –4, +3, +1, –2, and +2. Assuming that these scores com form a normaldistribution, which deviation represents the highest raw score?
One year Terry had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school, with an ERA of 3.02. Also, Karen had the lowest ERA of any female pitcher at the school with an ERA of 3.24. For the males, the mean ERA was 4.364 and the standard deviation was 0.639. For the females, the mean ERA was 3.801 and the standard deviation was 0.959 Find their respective z-scores. Which player had the better year relative to their peers, Terry or Karen? (Note: In general, the lower the ERA, the better the pitcher.) Terry had an ERA with a z-score of Karen had an ERA with a z-score of (Round to two decimal places as needed) Which player had a better year in comparison with their peers? OA. Terry had a better year because of a higher z-score. OB. Karen had a better year because of a lower z-score. OC. Terry had a better year because of a lower z-score. O D. Karen had a better year because of a higher z-score. GIL
According to the historical data, the life expectancy in Belgium is less than the life expectancy in the United States. A new study has been made to see whether this has changed. Records of 260 individuals from Belgium who died recently are selected at random. The 260 individuals lived a mean of 78.4 years with a standard deviation of 8.8 years. Records of 285 individuals from the United States who died recently are selected at random and independently. The 285 Individuals lived a mean of 76.5 years with a standard deviation of 7.4 years. Assume that the population standard deviations of lifetimes in these two countries can be estimated by the sample standard deviations, as the samples used were quite large. Construct a 95% confidence interval for ₁-₂, the difference between the life expectancy μ₁ in Belgium and the life expectancy μ₂ in the United States. Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three…

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