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 4.77 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

Answer:-

Given that:-

Consider the following hypotheses:

: mean = 5
: mean < 5

A test is performed with a sample of size 25. The sample mean was 4.77 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.
The statistic software output for this problem is:

One sample Z summary hypothesis test:

Mean of population

Standard deviation = 1.2

Hypothesis test result :

Mean	n	Sample Mean	Std,Err	Z-state	P-value
	25	4.77	0.24	-0.95833333	0.1689

Hence,

P-value = 0.1689