- A Stat 157 Instructor Decided To Investigate The Effect Of Age On The Time Students Wrote The Stat 151 Final Exam From E 1 (221.29 KiB) Viewed 97 times
- A Stat 157 Instructor Decided To Investigate The Effect Of Age On The Time Students Wrote The Stat 151 Final Exam From E 2 (233.16 KiB) Viewed 97 times
- A Stat 157 Instructor Decided To Investigate The Effect Of Age On The Time Students Wrote The Stat 151 Final Exam From E 3 (130.91 KiB) Viewed 97 times
- A Stat 157 Instructor Decided To Investigate The Effect Of Age On The Time Students Wrote The Stat 151 Final Exam From E 4 (118.48 KiB) Viewed 97 times
A STAT 151 instructor decided to investigate the effect of age on the time students spend in writing a STAT 151 final exam. He randomly selected U of A students who wrote the STAT 151 final exam from each of four different age groups (age < 18 years old, 18 < ages 20,20 < ages 22, and age > 22), each with approximately the same sample size, making a total of 211 students. He obtained the time students spent on their final exam. The following partially filled-in ANOVA table was obtained. df MS F-Stat P-value SS 492.71 0.0161 Source Age Group Error Total 10165.49 Assume that all the required assumptions for appropriate analysis are met. Carry out an appropriate hypothesis test to determine if there are some differences in the me time students spend on a STAT 151 final exam for the four different age groups at the significance level of 0.1. a) What is the distribution of the test statistic under the null hypothesis? Select one: O F-distribution with numerator df = 3 and denominator df = 207 = OF-distribution with numerator df = 3 and denominator df = 210 OF-distribution with numerator df = 4 and denominator df = 207 F-distribution with numerator df = 207 and denominator df = 210 F-distribution with numerator df = 4 and denominator df = 210 What is the estimate of the common standard deviation?
c) What is the value of the test statistic? Select one 2.674 1354.594 2.636 O 3.515 O 0.285 d) Which of the following is a valid conclusion for this hypothesis test? Select one: There is not enough information given in the question to make a conclusion. There is not enough evidence to conclude that the mean time students spend on a STAT 151 final exam is not all the same for all four age groups. There is enough evidence to conclude that the mean time students spend on a STAT 151 final exam is the same for all four age groups. There is not enough evidence to conclude that the mean time students spend on a STAT 151 final exam is the same for all four age groups.
b) What is the estimate of the common standard deviation? Select one: O 12.815 O 164.237 O 6.836 02183.544 O 46.728