The inside diameter of a randomly selected piston ring is a random variable with mean value 14 cm and standard deviation 0.05 cm. Suppose the distribution of the diameter is normal. (Round your answers to four decimal places.) (a) Calculate P(13.99 ≤ X ≤ 14.01) when n = 16. P(13.99 ≤ X ≤ 14.01) = 0.4207 Incorrect: Your answer is incorrect. (b) How likely is it that the sample mean diameter exceeds 14.01 when n = 25? P(X ≥ 14.01) = 0.4207 Incorrect: Your answer is incorrect. Y

a) 0.5762

b) 0.1587

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 14 cm

Standard Deviation, σ = 0.05 cm

We are given that the distribution of diameter is a bell shaped distribution that is a normal distribution.

Formula:

a) P(13.99 ≤ X ≤ 14.01 when n = 16)

Standard error due to sampling =

b) P(sample mean diameter exceeds 14.01 when n = 25)

Standard error due to sampling =

Calculation the value from standard normal z table, we have,  

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

you are uyytr tyy

step-by-step explanation: