Consider the following hypothesis test:
H₀: µ = 15
Hₐ: µ ≠ 15
A sample of size 50 provided a sample mean of 14.15. The population standard deviation is 3.
Blank #1: Compute the value of the test statistic, rounding all calculations to 2 decimal places.
Blank #2: What is the associated p-value? Reminder, this is coming from the table, so DON'T ROUND.
Blank #3: Using α = 0.01, what is your conclusion? Enter either "reject" or "fail to reject" without the quotes for what to do with the null hypothesis.
Consider the following hypothesis test:
H₀: µ ≥ 40
Hₐ: µ < 40
A sample of size 49 provided a sample mean of 40.1 and (sample) standard deviation of 0.2.
Blank #1: Compute the value of the test statistic, rounding all calculations to 2 decimal places. Since the table includes only positive values, report your answer as a positive number.
Blank #2: Use the test statistic you computed for Blank #1 to find the next smallest value on the table; what is the p-value associated with the test statistic you have found? Again, this is coming from the table, so DON'T ROUND.
Blank #3: Use the test statistic you computed for Blank #1 to find the next largest value on the table; what is the p-value associated with the test statistic you have found? Reminder, this is coming from the table, so DON'T ROUND.
Blank #4: Using α = 0.1, what is your conclusion? Enter either "reject" or "fail to reject" without the quotes for what to do with the null hypothesis.
Consider the following hypothesis test:
H₀: µ ≤ 50
Hₐ: µ > 50
A sample of size 60 provided a sample mean of 51.8. The population standard deviation is 8.
Blank #1: Compute the value of the test statistic, rounding all calculations to 2 decimal places.
Blank #2: What is the associated p-value? Reminder, this is coming from the table, so DON'T ROUND.
Blank #3: Using α = 0.05, what is your conclusion? Enter either "reject" or "fail to reject" without the quotes for what to do with the null hypothesis.