In a random sample of 20 NBA basketball games the mean number of points scored by the home team was 100.4 with a standard deviation of 4.86. Create and interpret a 95% confidence interval for the true mean number of points scored by an NBA basketball team at home.
You and your friend were watching a LA Lakers game where they were not playing at home. They only scored 98 points. Your friend says, "Wow, I bet if they were playing at home they would have scored a lot more points." Do you agree or disagree with your friend? Support your detailed answer.

The  95% confidence interval is  

This interval means that there 95% confidence that the true mean is within this interval  

Yes i would agree with my friend because the lower and the upper limit 95% confidence interval for mean points scored at home is greater than 98 points

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  20

   The  sample mean is  

     The standard deviation is  

Given that the confidence level is  95% then the level of significance is mathematically evaluated as

Next we obtain the critical value of from the normal distribution table, the value is  

Generally the margin of error is mathematically represented as

substituting values

The  95% confidence interval is  mathematically represented as

substituting values

answer: a

step-by-step explanation:

if xy ~ yz therefore xy would be the same length as yz