Question

1. Mothers with young children often complain that they do not get enough sleep. Suppose that you obtained a measure of the typical amount of sleep of nine mothers of children under 1 year of age and found the following durations (in hours): 6.4, 7.5, 6.9, 7.3, 7.6, 7.1, 6.5, 7.7, 7.8. Suppose the general population has an average of 7.7 hours sleep per night. Is the mean amount of sleep for those mothers significantly less than the general population? Use a two-tailed test with 0.05 significance level.

1. Statistical hypothetical hypotheses

2. Select the appropriate statistical test, calculate the test statistic, and make statistical decision(s)

3. Generate conclusions

Answer 1

for unknown we use t distribution

t= (