Question

True or False

A) Let’s say that is has been established that a 95% confidence interval for the mean number of oranges eaten per week per person is 0.8 to 2.6. True or false: The mean number of oranges eaten for 95% of all samples will fall between 0.8 and 2.6. No explanation necessary.

B)     True or false: X-bar is the mean of the sampling distribution? (It is found in the center.)

Choose from the following

There is a group of people. The average height of these people is 67 inches. Is it more likely to pick an individual who is more than 68 inches tall or a sample of four people who average more than 68 inches tall? Or are they probabilities equal? Or is it impossible to tell? You do not have to explain your answer.

Group of answer choices

a. They are equally likely

b. More likely to pick a sample with an average more than 68 inches

c. It is impossible to tell

d. More likely to pick an individual taller than 68 inches

Answer 1

Solution-A:

95% confidence interval for true mean number of oranges eaten per week per person is 0.8 to 2.6

we give confidence interval for true proportions not for sample

as intrepretation is given as

The mean number of oranges eaten for 95% of all samples will fall between 0.8 and 2.6. No explanation necessary.

itis  

FALSE

Solution-B:

X-bar is the mean of the sampling distribution

mean of the sampling distribution is xbar

TRUE

Solution-c:

probbaility of individual will be more compare to probbaility of avergae of the sample

as the probbaility will be less for smaple of 4 individuals

Ex say mean =67 and assume sd=11

pnormGC(bound= 68,region="above",mean=67,sd= 11,graph=TRUE)

0.4637824

standard error=11/sqrt(4)=5.5

pnormGC(bound= 68,region="above",mean=67,sd= 5.5,graph=TRUE)

0.4278627

so the probbaility for individual value is high as its  0.4637824 comapred to sample of 4 which is 0.4278627

b. More likely to pick a sample with an average more than 68 inches