Problem set number 2 yBoisestate welcome x VA Homework 2B CSearch Textbook solut
ID: 3208070 • Letter: P
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Problem set number 2
yBoisestate welcome x VA Homework 2B CSearch Textbook solutio M Mathway I Math proble x VA a table a gif (782 x 1624 x Secure https/www.webassign net/web/Student/Assignment-Responses submit?dep 15441856 Ho: 830 ft2; Ha: Au 830 ft2 Ho: u 830 ft2: Ha: su 830 ft2 Ho: u 830 ft Ha: u 830 ft eBook 2. 1/11 points I Previous Answers MIntrostatB 6.E.128 My Notes Ask Your Teacher You are testing the null hypothesis that H 0 versus the alternative pu 0 using a .05. Assume o 19. Suppose x 5.3 and n 19. Calculate the test statistic and its P-value. Repeat assuming the same value of x but with n 29. Do the same for sample sizes of 39, 49, and 59. (Round the test statistic to two decimal places. Round the P-value to four decimal places. p-value 19 P-value 29: z p-value 39: z P-value 49: z 59: z P-value Plot the values of the test statistics versus the sample size. Do the same for the P-values. (Do this on paper. Your instructor may ask you to turn this in.) Summarize what this demonstration shows about the effect of the sample size on significance testing. As sample size increases, a test becomes more significant. As sample size increases, a test becomes less significant. As sample size increases, there is no effect on the significance. As sample size decreases, a test becomes more significant. eBook Submit Answer Save Progress Practice Another Version 3, 313 points I Previous Answers MIntroStat8 6, E.073 My Notes Ask Your Teacher Computers in some vehicles calculate various quantities related to performance. One of these is the fuel efficiency, or gas mileage, usually expressed as miles per gallon (mpg). For one vehicle equipped in this way, the miles per gallon were recorded each time the gas tank was filled, and the computer was then reset. In addition to the computer's calculations of miles per gallon, the driver also recorded the miles per gallon by dividing the miles driven by the number of gallons at each fil-up. The following data are the differences between the computer's and the driver's calculations for that random sample of 20 records. The driver wants to determine if hese calculations are different. Assume that the standard deviation of a difference is o 3.0 2:16 PM P w 2117/2017Explanation / Answer
Z=X-µ//sqrt(n)
=5.3-0/19/sqrt(19)
=5.3/19/4.36
=1.2159
p-value is 0.1120
Z=X-µ//sqrt(n)
=5.3-0/19/sqrt(29)
=5.3/19/5.39
=1.50
p-value is 0.0668
Z=X-µ//sqrt(n)
=5.3-0/19/sqrt(39)
=5.3/19/6.25
=1.74
p-value is 0.0409
Z=X-µ//sqrt(n)
=5.3-0/19/sqrt(49)
=5.3/19/7
=1.95
p-value is 0.0256
Z=X-µ//sqrt(n)
=5.3-0/19/sqrt(59)
=5.3/19/7.68
=2.142
p-value is 0.0161
As sample size increases, a test becomes more significant
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