A statistics professor for STAT 250 wants to investigate how long it takes students to complete Exam 1. The times that it took all 715 STAT 250 students in Spring 2022 were recorded in the data set “Time to Complete Exam 1” found in StatCrunch. The time is recorded in minutes. A student who completed the exam in 50:30 (50 minutes and 30 seconds) would be recorded as 50.5 minutes Column Mean Std. dev. Sample 26 (Time) 43.93 7.14 1) Does the mean calculated come from a sampling distribution that is approximately Normal? Check all three conditions of the Central Limit Theorem using one complete sentence for each condition to answer this question 2) Calculate the probability that, in a random sample of 26 students, the mean time to complete Exam 1 is 50 minutes or more. Complete this part by standardizing and using the Standard Normal Table to obtain this probability. Show all work and type all calculations.
A statistics professor for STAT 250 wants to investigate how long it takes students to complete Exam 1. The times that it took all 715 STAT 250 students in Spring 2022 were recorded in the data set “Time to Complete Exam 1” found in StatCrunch. The time is recorded in minutes. A student who completed the exam in 50:30 (50 minutes and 30 seconds) would be recorded as 50.5 minutes
|
Column |
|
Std. dev. |
|
Sample 26 (Time) |
43.93 |
7.14 |
1) Does the mean calculated come from a sampling distribution that is approximately Normal? Check all three conditions of the Central Limit Theorem using one complete sentence for each condition to answer this question
2) Calculate the
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