Southern New Hampshire University - MAT-240 R1062 – Practice for 8-3 MySatLab: Final Exam

MAT-240 R1062 – Practice for 8-3 MySatLab: Final Exam This Question: 10 pts g 3 of 28 (2 complete) w $• Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable. (a) The number of free-throw attempfs before the first shot is made. (b) The amount of rain in Cify B during April (a) Is the number of free-throw attempts before the first shot is made discrete or continuous? !. .! A. The random variable is discrete. The possible values are x L D. 'j B. Therandomvariable is continuous The posiMevauesarex=0. 1 2 . ! ! C. The random variable is discrete. The possible values are x = 0, 1. 2 'J D. Therandomvariable is continuous. The possbevauesarex0 ' (b) Is the amount of rain in City B during April discrete or coninuous? ‹.".:' A. The random variable is discrete. The possible values are r = 1, 2. 3. '. B. Therandomvariable iscontinuous. Thepossbevauesarer=1.Z, '.. ..' C. The random variable is discrete. The possible values are r 1 0 :. D. Therandomvariable is continuous The posiMevauesare rkO This Question: 10 pts Determine the required value of the missing prababiI”ity to make the distribution a discrete probability distribution. P(4) = (Type an integer or a @ 4 o{28(3compete)+ @ x P(x) 3 0.19 4 ? 5 0.40 6 0.25 This Question: 10 pts g 5 of 28 (4 corriplete) w §• The graph ol a normal curve is given on the right. Use the graph to identify the values of p and o. This Question: 10 pts 9 6 of 28 (5 complete) w 9 This Test: 280 pts possible { Question Help O This Test: 280 pts possible • Question Help O a rd a h”Mr 35) b e nd g” to the d ’ trib ute d with mea' n p b -I binty’sdh 'd SO and stand ard deviatio' n a 7. Co mp ute the pro bab ilify. Be s ure to d raw a norm al curve with the Which of the following normal curves corresponds to P(X 35)? '. -..' A. {Round to four decimal places as needed ) ¿e.. B. This Question: 10 pts g 7 of 28 (6 complete) w $• Determine |Jy and i"f X- fTOITI the given parameters of the population and sample size. p = 83. a = 24. n = 36 This Question: 10 pts g 8 of 28 (7 complete) w $• Describe the sampling distribution of p. Assume the size of the population is 20,000. n = 600, p = 0.7 Choose the phrase that best describes the shape of lhe sampling distribution of p below. '”””! A. Not normal because n £ 0.D5N and np(1— p) Z 10 !.”.! B. Not normal because n £ 0.85N and np(1— p) 10. ! ! C Approximately normal because n I 0.05N and np(1 — p) 1 10. '.”.! D. Approximately normal because n 0.0SN and np(1 — p) 1 0. Determine the mean of the sampling distribution of p. p• = (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. o• = (Round to three decimal places as needed.) This Question: 10 pts g 9 of 28 (8 complete) w $• Compute the critical value z / 2 that corresponds to a 88% level of confidence. ‘a 2' (Round to two decimal places as needed.) This Question: 10 pts g 10 of 28 (9 complete) w $• Construct a confidence interval of the population proportion at the given level of confidence. x = 860. n = 1200. 999» confidence The upper bound of the confidence interval is (Round to the nearest thousandth as needed.) The lower bound of the confidence interval is . (Round to the nearest thousandth as needed.) This Question: 10 pts g 11 of 28 (10 complete) w §• Determine the point estimate of ihe population mean and margin of error for the confidence interval. Lower bound is 18. upper bound is GB The point estimate of the population mean is The margin of error for the confidence interval is . This Question: 10 pts This Test: 280 pts possible , QuestioiJ -JeI? O The foIIo/ing data represent the asking price of a simple random sample of homes for sale. Construct $248.000 $ 5219. 900 a 99% confidence interval with and without the outlier included. Comment on the effect the outlier has $143 000 $205 800 ›n the confidence inten'aI. $459.900 $170.000 S187.500 $1S5,0u0 $147.800 S2 4. 800 Click the icon to viev.' the table of areas under the I-distribution. (a) Construct a 99°L confidence interval .'/ith the oritlier included. }S 4 905 . S 2 9 ) }Pound to the nearest integer as needed. › (b) Construct a 99 ' confidence intervaI y/itIJ the outlier renJoved {S 9 . S 2 0 ) /Round to the nearest inleger as needed. › (c) Comment on the effect the outlier has on the confidence internal. The ou tlier caused the .'width of the con fidence inten’aI to decrease The ou tlier had no effect on the width of the confidence inten'aI. 'o.' The ou tlier caused the .'width of the con fidence inten’aI to increase. This Question: 10 pts Suppose the null hypothesis is rejected. State the conclusion based on the results of the test. Six years ago. 11.6% of registered births ’.‘ere to teenage mothers. A sociologist believes that the percentage has increased since then. 1‘hich of the follov. ing is the correct conclusion? "..' A. There is sufficient evidence to conclude that the percentage of teenage mothers has remained the same '. ..' B. There is sufficient evidence to conclude that the percentage of teenage mothers has increased. '.._..' C . There is not sufficient evidence to conclude that the percentage of teenage mothers has remained the same. '. .' D. There is not sufficient evidence to conclude that the percentage of teenage mothers has increased This Question: 10 pts g 14 of 28 (13 complete) w $• Test the hypothesis using the P-value approach. Be sure to verify lhe requirements of the test. H0 : p = 0.64 versus H : p 0.64 n = 150, x = 87, a = 0.01 Is npg 1 — ppt L 10? '’*' Yes No Use technology to find the P-value. P-value = (Round to three decimal places as needed ) eje he nu h p the is because the P-value is than iz. This Question: 10 pts 1ñ of 28 (14 complete) w §• This Test: 280 pts possible , Question Help O Several years ago the reported mean age of an inmate on death row y/as 36.4 years. A sociologist wondered y/hether the mean age of a death-row inmate has changed since then. She randomly selects 33 death-row inmates and finds that their mean age is 38 2 with a standard deviation of 8.7. Construct a 95% confidence interval about the mean age of death rosy inmates. Whal does the interval imply? Choose the correct hypotheses. Hp H, . 36 4 36.4 Construct a 95°â confidence interval about the mean age. , 3 2 1 2 ) ascending Round to t'/o decimal places as needed.) What does the interval imply? ! ” ' A. Since the given mean age is not in the interval. reject the null hypothesis. '.o.' B. Since the given mean age is in the interval, ao not reject the null hypothesis. ” ' C . Since the given mean age is not in the interval. do not reject the null hy pothesis. i ” ' D. Since the given mean age is in the interval, reject the null hypothesis. This Question: 10 pts g 16 of 28 (15 complete) w §• This Test: 280 pts possible • Question Help O It ha s Iong b een stated that the mean temperature of h um ans is 98.6 However, two researchers currently involved in the subject thought that the mean temperature of humans is less than They measured the temperatures of 61 healthy adults 1 to 4 times daily for 3 days, obtaining 275 measurements. The sample data resuked in a sample mean of 98 3”F and a sample standard deviation of 1"F Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6°F at the « = 0.01 level of significance. Hg: H : 98.6°F 98.6°F Find the test statistic. tg = 4 (Round to two decimal places as needed.) The P-value is . (Round to three decimal places as needed.) What can be concluded* A. Do not reject Hg since the P-value is not less than the significance level. m/ B. Reject H0 since the P-valu e is I ess than the significance level. C. Do not reject Hq since the P-value is less than the significance level. D. Reject H0 since the P-value is not less than the significance level. This Question: 10 pts g 17 of 28 (16 complete) w §• This Test: 280 pts possible { Question Help @ Determine whether the following sampling is dependent or independent. Indicate whether the response variable is qualitative or quantitative . A researcher wishes to compare IQ scores of doctors and non-doctors. She obtains a random sample of 300 professionals of each category who take an IQ test and determines each individual’s IQ. Determine whether the following sampling is dependent or independent. ' ” ' A. The sampling is independent because an individual selected for one sample does dictate which individual is to be in the second sample. ” ' B. The sampling is dependent because an individual selected for one sample does not dictate which individual is to be in the second sample. '.o.' C . The sampling is independent because an individual selected for one sample does not dictate which individual is to be in the second sample. ” ' D. The sampling is dependent because an individual selected for one sample does dictate which individual is to be in the second sample. Indicate whether the response variable is qualitative or quantitative . '' ” ' A. The variable is quantitative because it classifies the individual. '.o.' B. The variable is quantitative because it is a numerical measure. ” ' C . The variable is qualitative because it is a numerical measure. ” ' D. The variable is qualitative because it classifies the individual. This Question: 10 pts g 18 of 2B (17 complete) w $• Construct a confidence interval for p1 — p2 at the given level of confîdence x1 = 382, n1 = 549, x2 = 448. n2 = 58a, str› confidence The 99°A confidence interval for p1 — p2 is ( 0 135 , ). (Use ascending order. Round to three decimal places as needed.) This Question: 10 pts g 19 of 28 (18 complete) w §• This Test: 280 pts possible { Question Help A researcher takes measurements of water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same dates S years The researcher immerses a weighted disk painted black and white and measures the deplh (in inches) at which it is no longer visible. The collected data is given in the accompanying lable. Let X represent the initial depth and let Y represent the depth S years later. Complete parts (a) through (c) below. @j Click the ican to view the water clarity data. (a) Why is it important to take the measurements on the same date? ‹j› A. Tnose are the same dates that all biologists use to take water clarity samples. ‹j› B. Using the same dates maximizes the difference in water clarity. ‹• C. Using the same dates makes the second sample dependent on the first. ‹j› D. Using the same dates makes it easier to remember to take s amples. (b) Does the evidence suggest that the cIariy of the lake is improving at the a = 0.05 level of significance? Note that the normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Choose the correct confusion below. Let d, = Y; — X;. ^/hat are the correct null and alternative hypotheses? ‹o› A. Hg: pą = 0 ” ' B. H : pg 10 '.”:' C. Hg: pg 0 H : pą 0 H1: pg = 0 H1: pg 0 ‹. .› D. Hp: pą 0 ” :' E. Hg: {ig = 0 ': ”:' F. Hg: {ig = 0 H : pą 0 H1: pg 10 H1: pg 0 What is the P-value? This Question: 10 pts •§ 19 of 28 (18 complete) w §• This Test: 28D pts passible , Question Help @ A researcher takes measurements of water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same dates 5 years later. The researcher immerses a weighted disk painted black and white and measures the depth (in inches) at which it is no longer visible. The collected data is given in the accompanying table. Let X represent the initial depth and let Y represem the depth 5 years later. Complete parts (a) through (c) below. Click the icon to view the water clarity data. What is the P-value? P-value = (Round to three decimal places as needed.) Choase the correct conclusion below. N, : {ig 0 O A. Reject Hg . There is sufficient evidence to conclude that there has been an improvement in the darily of the water in the 5-year period. O B. Do not reject Hp. There is not sufficient evidence to condude that there has been an improvement in the clarify of the water in the 5-year period. O C. Reject Hq . There is not sufficient evidence to conclude that there nas been an improvement in the darity of the water in the 5-year period. O D. Do not reject Hp. There is sufficient evidence to condude that there has been an improvement in the clarify of the water in the fi-year period. (c) Draw a boxplot of the differences data. Choose the correct boxplot below. O A. @ B. This Question: 10 pts § 19 of 28 (18 complete) w §• This Test: 2BD pts passiblc • Question Help @ A researcher takes measurements of water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurement on the same dates 5 years later. The researcher immerses a weighted disk painted black and white and measures the depth (in inches) at which it is no longer visible. The collected data is given in the accompanying table. Let X represent the initial depth and let Y represent the depth 5 years later. Complete parts (a) (c) below. Click the icon to view the water clarity data. O A. O C. M M 56 60 64 6B 72 76 O B. @• D. —¥ 2 —10 —8 —6 —4 —2 0 2 4 —4 -2 0 2 4 6 8 10 12 Does this visual evidence support the results obtained in part (b)? O Mo Qo Yes