nswer questions 4-18 based on the following scenario and dataset posted on Canva
ID: 3068963 • Letter: N
Question
nswer questions 4-18 based on the following scenario and dataset posted on Canvas Students were surveyed in an introductory statistics course.! The variable we will look at first is TV which refers to the number of hours they watched television per week. Research Question 1: What is the population mean number of hours television is watched for students at the university where the data was collected? 4. Why would it be appropriate to use a confidence interval to answer Research Question 1? 5. Are the conditions met to create a 95% confidence interval for the TV variable? Explain. 6 Use JMP to create a 95%confidence interval for the TV variable. Note that you will likely use the Analyze, Distribution analysis in JMP, however there are other ways to get the same results. Include a copy of your JMP output. Keep 2 decimal places in your answers. Confidence interval 7, Interpret the 95% confidence interval for the TV variable. Now we will look at the MathSAT variable. Research Question 2: Is the population mean Math SAT score for students at the university where the data was collected more than 600? 8. Why would it be appropriate to use a hypothesis test to answer Research Question 2? htp:/www.lockSstat.com/datapage html
Explanation / Answer
Solution:
As requested we are looking for the TV variable.
From the output:
sample size=n=361
mean=6.504155
sd=5.583767
median=5
mean>median
positively skewed .
sample size=n=361
According to central limit theorem
For large sample n>30 ,sampling distribution follows normal distribution.
sample is random sample
it is appropriate.
Solution5:
yes
random sample
sample size is large n>30
here n=361
Follows normal distribution.
observations are independent
Solution6:
From the output 95% confidence interval for true mean for the number of hours tv watched per week is 5.926 to 7.082
Solution7:
we are 95% confident that the true mean for the number of hours tv watched per week lies in between 5.926 to 7.082 hours.
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