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# MATHS - WEEK 3 HOMEWORK

Question # 00013431
Subject: Mathematics
Due on: 04/25/2014
Posted On: 04/25/2014 05:01 AM

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WEEK 3 HOMEWORK
1) Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 79 and 2, respectively, and the distribution of scores is mound-shaped and symmetric. Suppose the trainee in question received a score of 76. Compute the trainee's z-score. 1) ________
Z= ( 76-79)/2= -1.5
A) z = 0.94 B) z = -1.50 C) z = -3 D) z = -6
2) The amount spent on textbooks for the fall term was recorded for a sample of five hundred university students. The mean expenditure was calculated to be \$500 and the standard deviation of the expenditures was calculated to be \$100. Suppose a randomly selected student reported that their textbook expenditure was \$700. Calculate the z-score for this student's textbook expenditure. 2) ________
Z= ( 700-500) / 100= 2
A) +2 B) +3 C) -3 D) -2
3) A radio station claims that the amount of advertising each hour has a mean of 15 minutes and a standard deviation of 1.5 minutes. You listen to the radio station for 1 hour and observe that the amount of advertising time is 9 minutes. Calculate the z-score for this amount of advertising time. 3) ________
Z= ( 9-15)/1.5= -4
A) z = -4.00 B) z = 0.50 C) z = 4.00 D) z = -9

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
4) A study was designed to investigate the effects of two variables ? (1) a student's level of mathematical anxiety and (2) teaching method ? on a student's achievement in a mathematics course. Students who had a low level of mathematical anxiety were taught using the traditional expository method. These students obtained a mean score of 310 and a standard deviation of 50 on a standardized test. Find and interpret the z-score of a student who scored 490 on the standardized test.
4) _______________

5) The following data represent the scores of 50 students on a statistics exam. The mean score is 80.02, and the standard deviation is 11.9.

39 51 59 63 66 68 68 69 70 71
71 71 73 74 76 76 76 77 78 79
79 79 79 80 80 82 83 83 83 85
85 86 86 88 88 88 88 89 89 89
90 90 91 91 92 95 96 97 97 98

Find the z-scores for the highest and lowest exam scores. 5) _______________
1) Suppose you selected a random sample of n = 7 measurements from a normal distribution. Compare the standard normal z value with the corresponding t value for a 90% confidence interval. 1)
_______________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
2) An educator wanted to look at the study habits of university students. As part of the research, data was collected for three variables - the amount of time (in hours per week) spent studying, the amount of time (in hours per week) spent playing video games and the GPA - for a sample of 20 male university students. As part of the research, a 95% confidence interval for the average GPA of all male university students was calculated to be: (2.95, 3.10). Which of the following statements is true? 2) ________
A) In construction of the confidence interval, a z-value was used.
B) In construction of the confidence interval, a t-value with 19 degrees of freedom was used.
C) In construction of the confidence interval, a t-value with 20 degrees of freedom was used.
D) In construction of the confidence interval, a z-value with 20 degrees of freedom was used.
3) You are interested in purchasing a new car. One of the many points you wish to consider is the resale value of the car after 5 years. Since you are particularly interested in a certain foreign sedan, you decide to estimate the resale value of this car with a 95% confidence interval. You manage to obtain data on 17 recently resold 5-year-old foreign sedans of the same model. These 17 cars were resold at an average price of \$12,610 with a standard deviation of \$700. What is the 95% confidence interval for the true mean resale value of a 5- year-old car of this model? 3) ________
A) 12,610 ± 2.120(700/sqrt(16)) B) 12,610 ± 2.120(700/sqrt(17))
C) 12,610 ± 2.110(700/sqrt(17)) D) 12,610 ± 1.960(700/sqrt(17))
4) A revenue department is under orders to reduce the time small business owners spend filling out pension form ABC-5500. Previously the average time spent on the form was 5.7 hours. In order to test whether the time to fill out the form has been reduced, a sample of 86 small business owners who annually complete the form was randomly chosen, and their completion times recorded. The mean completion time for ABC-5500 form was 5.5 hours with a standard deviation of 2.3 hours. In order to test that the time to complete the form has been reduced, state the appropriate null and alternative hypotheses. 4) ________
A) H with subscript((0)): ? = 5.7
H with subscript((a)): ? > 5.7 B) H with subscript((0)): ? = 5.7
H with subscript((a)): ? ? 5.7 C) H with subscript((0)): ? > 5.7
H with subscript((a)): ? < 5.7 D) H with subscript((0)): ? = 5.7

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
1) Which statement best describes a parameter? 1) ________
A) A parameter is an unbiased estimate of a statistic found by experimentation or polling.
B) A parameter is a numerical measure of a population that is almost always unknown and must be estimated.
C) A parameter is a level of confidence associated with an interval about a sample mean or proportion.
D) A parameter is a sample size that guarantees the error in estimation is within acceptable limits.

2) A study was conducted to determine what proportion of all college students considered themselves as full-time students. A random sample of 300 college students was selected and 210 of the students responded that they considered themselves full-time students. Which of the following would represent the target parameter of interest? 2) ________
A) ? B) p

3) A revenue department is under orders to reduce the time small business owners spend filling out pension form ABC-5500. Previously the average time spent on the form was 5.7 hours. In order to test whether the time to fill out the form has been reduced, a sample of 86 small business owners who annually complete the form was randomly chosen, and their completion times recorded. The mean completion time for ABC-5500 form was 5.5 hours with a standard deviation of 2.3 hours. In order to test that the time to complete the form has been reduced, state the appropriate null and alternative hypotheses. 3) ________
A) H with subscript((0)): ? = 5.7
H with subscript((a)): ? > 5.7 B) H with subscript((0)): ? > 5.7
H with subscript((a)): ? < 5.7 C) H with subscript((0)): ? = 5.7
H with subscript((a)): ? < 5.7 D) H with subscript((0)): ? = 5.7
H with subscript((a)): ? ? 5.7

4) A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful only if the average time spent on a delivery does not exceed 37 minutes. The owner has randomly selected 15 customers and delivered pizzas to their homes. What hypotheses should the owner test to demonstrate that the pizza delivery will not be successful? 4) ________
A) H with subscript((0)): ? = 37 vs. H with subscript((a)): ? ? 37 B) H with subscript((0)): ? = 37 vs. H with subscript((a)): ? > 37
C) H with subscript((0)): ? < 37 vs. H with subscript((a)): ? = 37 D) H with subscript((0)): ? = 37 vs. H with subscript((a)): ? < 3

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#### MATHS - WEEK 3 HOMEWORK SOLUTION

Tutorial # 00012999
Posted On: 04/25/2014 05:06 AM
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expertden
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Tutorial Preview …mean xxxxxxxxxxx was xxxxxxxxxx to be xxxx and the xxxxxxxx deviation xx xxx expenditures xxx calculated to xx \$100 Suppose x randomly xxxxxxxx xxxxxxx reported xxxx their textbook xxxxxxxxxxx was \$700 xxxxxxxxx the xxxxxxx xxx this xxxxxxxxx textbook expenditure xx ________ Z= x 700-500) x xxxx 2 xx +2 B) xx C) -3 xx -2 xx x radio xxxxxxx claims that xxx amount of xxxxxxxxxxx each xxxx xxx a xxxx of 15 xxxxxxx and a xxxxxxxx deviation xx x 5 xxxxxxx You listen xx the radio xxxxxxx for x xxxx and xxxxxxx that the xxxxxx of advertising xxxx is x xxxxxxx Calculate xxx z-score for xxxx amount of xxxxxxxxxxx time xx xxxxxxxx Z= x 9-15)/1 5= xx A) z x -4 xx xx z x 0 50 xx z = x 00 xx x = xx SHORT ANSWER xxxxx the word xx phrase xxxx xxxx completes xxxx statement or xxxxxxx the question xx A xxxxx xxx designed xx investigate the xxxxxxx of two xxxxxxxxx ? xxx x student's xxxxx of mathematical xxxxxxx and (2) xxxxxxxx method x xx a xxxxxxxxx achievement in x mathematics course xxxxxxxx who xxx x low xxxxx of mathematical xxxxxxx were taught xxxxx the xxxxxxxxxxx xxxxxxxxxx method xxxxx students obtained x mean score xx 310 xxx x standard xxxxxxxxx of 50 xx a standardized xxxx Find xxx xxxxxxxxx the xxxxxxx of a xxxxxxx who scored xxx on xxx xxxxxxxxxxxx test xx ( 490-310)/ xxx 3 6 xx z xxxx x 6) x 0 This xxxxx that this xxxxxxx has xxx xxxxxxx score xxxxxxxxx he is xx 100th percentile xxx others xxxx xxxx than xxx in scores xx _______________ 5) xxx following xxxx xxxxxxxxx the xxxxxx of 50 xxxxxxxx on a xxxxxxxxxx exam xxx xxxx score xx 80 02, xxx…
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MATHS_-WEEK_3_HOMEWORK_SOLUTION.doc (42 KB)
Preview: personnel xxxxxxxxxx of x firm that xxxx finished training x group xx xxx employees xx program, and xxx have been xxxxxxxxx to xxxxxx xxx performance xx one of xxx trainees on xxx final xxxx xxxx was xxxxx to all xxxxxxxx The mean xxx standard xxxxxxxxx xx the xxxx scores are xx and 2, xxxxxxxxxxxxx and xxx xxxxxxxxxxxx of xxxxxx is mound-shaped xxx symmetric Suppose xxx trainee xx xxxxxxxx received x score of xx Compute the xxxxxxxx z-score xx xxxxxxxx Z x 76-79)/2 -1 x A) z x 94 xx x -1 xx C) z xx D) z xx 2) xxx xxxxxx spent xx textbooks for xxx fall term xxx recorded xxx x sample xx five hundred xxxxxxxxxx students The xxxx expenditure xxx xxxxxxxxxx to xx 500 and xxx standard deviation xx the xxxxxxxxxxxx xxx calculated xx be 100 xxxxxxx a randomly xxxxxxxx student xxxxxxxx xxxx their xxxxxxxx expenditure was xxx Calculate the xxxxxxx for xxxx xxxxxxxx textbook xxxxxxxxxxx 2) ________ x ( 700-500) x.....
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