1. One sample Tests & Intervals on the Calculator

2. The ages of a group of volunteers were: 27, 16, 9, 14, 32, 15, 16, 13
The ages of a group of volunteers were: 27, 16, 9, 14, 32, 15, 16, 13. The manager wants to show that the average age is less than the national average of 18. Test at a 5% significance level.
Give the hypotheses:
What kind of Test? (Use formula)
Put your data in L1
Output
Go to Stat → Test
Result:
Input

3. A researcher claims that the average wind speed in a certain city is 8 mph. A sample of 32 days has an average wind speed of 8.2 mph and the standard deviation is 6mph. At 10% significance, is there enough evidence to reject the claim.
Give the hypotheses:
What kind of Test? (Use formula)
Go to Stat → Test
Output
Result:
Input

4. The average weight of 60 randomly selected compact automobiles was 2627 pounds. The standard deviation was $33. Find the 90% confidence interval of the population mean.
What kind of Interval? (Use formula)
Go to Stat → Test
Output
Input
Result:

5. Find the mean of the given interval.

6. Educators estimate the dropout rate is 15%
Educators estimate the dropout rate is 15%. Last year 38 seniors from a random sample of 200 seniors withdrew. At a 5% significance level, is there enough evidence to reject the claim?
Hypotheses:
What kind of Test? (Use formula)
Go to Stat → Calc → Test
Output
Input
Result:

7. In a study of 204 accidents that required treatment in an emergency room, 42% occurred at home. Find the 95% confidence interval of the true proportion of accidents that occur at home.
What kind of Interval? (Use formula)
Go to Stat → Calc → Test
Output
Input
Result:

8. A telephone company representative estimates that 40% of its customers want call-waiting. To test this hypothesis, she selected a sample of 105 customers and found that 37% had call waiting. At a 1% significance, is her estimate appropriate?
Hypotheses:
What kind of Test? (Use formula)
Go to Stat → Calc → Test
Output
Input
Result:

9. Homework Worksheet Identify the hypothesis Give the formula
Give the test statistic
Give the p-value
State the decision