Question

1)

You are asked to conduct the following hypothesis test concerning a population mean:

H₀: µ = 41.3
H_A: µ < 41.3

You know from a previous study that σ = 7.1. You draw a sample of size 38 from the population. The mean of the sample is 39.9. Calculate the p-value for this test.

0.1159

0.8879

0.2242

0.2319

0.1121

0.8841

2)

You are asked to conduct the following hypothesis test concerning a population mean:

H₀: µ = 95.5
H_A: µ > 95.5

You know from a previous study that σ = 6.7. You draw a sample of size 35 from the population. The mean of the sample is 97.3. Calculate the p-value for this test.

0.9394

0.9440

0.0606

0.1212

0.0560

0.1120

Answer 1

1)

Solution :

Left tailed

Test statistic = z

= ( - ) / / n

= (39.9 - 41.3) / 7.1 / 38

= -1.215

P(z < -1.215) = 0.1121

P-value = 0.1121

2)

This is the right tailed test .

Test statistic = z

= ( - ) / / n

= (97.3 - 95.5) /6.7 / 35

= 1.589

P(z > 1.589) = 1 - P(z < 1.589) = 0.0560

P-value = 0.0560