H0: mean =9
H1: mean >9
A test is preformed with a sample of size 49. The sample mean was 13.3 and the population standard deviation is 14. Assume that the population is approximately normal. Use the TI-84 PLUS calculator to compute the P-value. Write only a number as your answer.
Given that, sample size (n) = 49
sample mean = 13.3
population standard deviation = 14
The null and alternative hypotheses are,
Test statistic is,
p-value=P(Z > 2.15)= 1 - P(Z < 2.15) = 1 - 0.9842 = 0.0158
=> p-value = 0.0158
TI-83 plus calculator output is shown in below image:
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