there are not 3 problems here even though it says it please

there are not 3 problems here even though it says it.

please show work

There are three problems here. Scenario - I go to an Internet site that has a random number generator set to produce = 36.5 random real numbers from a uniform distribution with the user picking the values of the ?x =6.64 endpoints. I set the random generator to produce numbers in the following interval: 25

Solution

From our sample of 10, the average is :

Sample average = (25.02 + 34.58 + 28.29 + 38.75 + 34.95 + 33.16 + 30.95 + 40.23 + 38.99 + 37.69) / 10

x = 34.261

Expected mean, u = 36.5

Standard deviation = SD = 6.64

Now, z = (x - u) / (SD/sqrt(n))

z = (34.261 - 36.5) / (6.64/sqrt(10))

z = -1.06631621703569297053396425391338204774067529472126

From the z-score to P-value table, we get

P(z < -1.06631621703569297053396425391338204774067529472126) = 0.14314

Answer ---> 0.14314