Round Rock H S MATH 3608B Significance Test for a Mean Day 1 Answer Key. - Name: Hour: Date: Are you getting enough sleep? It’s recommended that teenagers get 8 hours of sleep

Are you getting enough sleep?
1. Calculate the sample mean and standard deviation.
2. State the appropriate hypotheses for a significance test. Be sure to define the
parameter of interest.
3. What conditions must be met? Check them.
4. Give the formulas for the mean and standard deviation of the sampling distribution of
and calculate the values.
5. Draw a picture and then calculate the test statistic.
6. Remember, since we are working with means, the test statistic is a t value. Use table
B to find the P-value.
7. What conclusion can we make?
x
It’s recommended that teenagers get 8 hours of sleep a night. Mrs. Gallas believes her AP
Stats students are getting less than the recommended 8 hours of sleep per night. To test
her belief, take a random sample of 10 students in class and record the number of hours
of sleep for each. Do these data provide convincing evidence that the AP stats students
get less than 8 hours of sleep per night using α = 0.05?
Sample : 6.5 , 4.75, 5,