I need original answers ( Typed up) please Do ALL the questions 1. When engineer
ID: 3274249 • Letter: I
Question
I need original answers ( Typed up) please Do ALL the questions
1. When engineers design products, it is important to consider the weights of people so that airplanes or elevators aren't overloaded. Based on data from the National Health Survey, we can assume the weight of adult males in the US has a mean weight of 197 pounds and standard deviation of 32 pounds. We randomly select 50 adult males. What is the probability that the average weight of these 50 adult males is over 189 pounds?
Give your answer to 4 decimal places. For help on how to input a numeric answer, please see "Instructions for inputting a numeric response."
2. In psychology, there is a particular Mental Development Index (MDI) used in the study of infants. The scores on the MDI have approximately a normal distribution with a mean of 100 and standard deviation of 16. We are going to randomly select 64 children and average their MDI scores. What is the probability that the average is under 101?
Give your answer to 4 decimal places. For help on how to input a numeric answer, please see "Instructions for inputting a numeric response."
3. A west-coast tech company knows the average age of its employees is 34 years. They also know that the standard deviation of the ages of these employees is 8 years. We know that the population of employee ages will have a right skewed distribution. A manager from human resources is going to randomly select a sample of 100. Which of the following is true?
Select all that apply.
Select one or more:
a. We know that the shape of the sampling distribution of the mean will be right skewed.
b. We know that the shape of the sampling distribution of the mean will be approximately symmetric.
c. We can not tell what the shape sampling distribution of the mean will look like.
d. The sampling distribution of the mean will have a smaller standard deviation than the population.
e. The sampling distribution of the mean will have the same standard deviation as the population.
f. The sampling distribution of the mean will have a larger standard deviation than the population.
Explanation / Answer
Solution1:
mean=197
sd=32
n=50
P(X>189)
Z=x-mean/sd/sqrt(n)
=189-197/32/sqrt(50)
=-1.77
P(Z>-1.77) to be found
=P(z<1.77)
=0.9616
ANSWER :0.9616
SOLUTION2:
MEAN=100
sd=16
n=64
P(X<101)
z=101-100/16/sqrt(64)
=1/16/8
=1/2
=0.5
P(Z<0.5)
=0.6915
ANSWER 0.6915
solution3:
a. We know that the shape of the sampling distribution of the mean will be right skewed