Question

Consider the following hypotheses: H0: mean = 5 H1: mean < 5 A test is performed with a sample of size 25. The sample mean was 4.72 and the population standard deviation is 1.2. Assume that the population is approximately normal. Use the TI-84 PLUS calculator to compute the P-value. Round your answer to four decimal places (for example: 0.0138). Write only a number as your answer.

Answer 1

Given that, sample size (n) = 25

sample mean = 4.72

population standard deviation = 1.2

The null and alternative hypotheses are,

Test statistic is,

Since it is right tailed test,

p-value=P(Z < -1.1667) = 0.1217

=> p-value = 0.1217

TI-83 plus calculator output is shown in below image: