Some sources report that the weights of full-term newborn babies in a certain town have a mean of 9 pounds and a standard deviation of 0.6 pounds and are normally distributed.
a. what is the probability that one newborn baby will have a weight within 0.6 pounds of the meanlong dashthat is, between 8.4 and 9.6 pounds, or within one standard deviation of the mean?
b. what is the probability that the average of nine babies' weights will be within 0.6 pounds of the mean; will be between 8.4 and 9.6 pounds?
c. explain the difference between (a) and (b).

a) 0.682

b) 0.998

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 9 pounds

Standard Deviation, σ = 0.6 pounds

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

Formula:

a) P(between 8.4 and 9.6 pounds)

b) P(weight of 9 babies will be between 8.4 and 9.6 pounds)

Standard error due to sampling =

c) In the second part 9 babies were selected from the entire population of babies that caused the major difference in the probabilities for two parts.

:

step-by-step explanation:

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25