Consider the following hypotheses: h0: mean = 5 h1: mean < 5 a test is performed with a sample of size 25. the sample mean was 4.73 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.

0.1406.

Step-by-step explanation:

Given :

To Find : compute the P-value.

Solution:

Sample size = 25

n < 30

So, we will go for t-test

Now we are given that  the population standard deviation is 1.2.

Where s is the variance

So, the variance is 36

we require sample standard deviation for t test

So, Sample standard deviation =

                                                  =

                                                  =

Formula of t-test =

Where s is the standard deviation of sample

Sample mean = 4.73

Mean =

s = 1.2247

n =25

So,  

So, p value with respect to t-table is 0.1406.

Hence p-value is  0.1406.

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175