The basal or resting heart rate typically has a mean of 70 beats per minute (bpm) with a standard deviation of 10 bpm. A sample of 25 students relaxing before Board exams measured a mean of 75 bpm with standard deviation equal to 8bpm.

1. Construct a90% confidence interval for .
2. Standard Error (SE) =

1. Margin of Error (M) =

1. LCL =

1. UCL =

1. Conduct a 2-sided test to see if the students' basal heart rate isfaster than what we would expect.Show all hypothesis testing steps.

1. Hypothesis statements

1. SE =

1. Test statistic

1. p-value (exact) =

1. Conclusion of significance