Mathematics, 20.07.2020 06:01 amykookie24

The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a standard deviation of 7.8 cm. A. Find the probability that an individual distance is greater than 218.40 cm. B. Find the probability that the mean for 15 randomly selected distances is greater than 202.80 cm. C. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

Answers: 1

Show answers

Answers

Answer from: xxaurorabluexx

Given the mean = 205 cm and standard deviation as 7.8cm

a. To calculate the probability that an individual distance is greater than 218.4 cm, we subtract the probability of the distance given (i.e 218.4 cm) from the mean (i.e 205 cm) divided by the standard deviation (i.e 7.8cm) from 1. Therefore, we have 1- P(Z $\leq 1.72$ ). Using the Z distribution table we have 1-0.9573. Therefore P(X >218.4)= 0.0427.

b. To calculate the probability that mean of 15 (i.e n=15) randomly selected distances is greater than 202.8, we subtract the probability of the distance given (i.e 202.8cm) from the mean (i.e 205 cm) divided by the standard deviation (i.e 7.8cm) divided by the square root of mean (i.e n= 15) from 1. Therefore, we have 1- P(Z $\leq -1.09$ ). Using the Z distribution table we have 1-0.1378. Therefore P(X >202.8)= 0.8622.

c. This will also apply to a normally distributed data even if it is not up to the sample size of 30 since the sample distribution is not a skewed one.

Step-by-step explanation:

Given the mean = 205 cm and standard deviation as 7.8cm

c. This will also apply to a normally distributed data even if it is not up to the sample size of 30 since the sample distribution is not a skewed one.

Answer from: Quest

answer: the correct one is a

step-by-step explanation:

Answer from: Quest

unless if u could do my questions, if not i wouldn't want to

Another question on Mathematics

Mathematics, 21.06.2019 20:00

Last one and the bottom answer choice is y=(x-4)^2+1 you guys!

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

Tom can paint the fence in 12 hours, but if he works together with a friend they can finish the job in 8 hours. how long would it take for his friend to paint this fence alone?

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

Set up and solve a proportion for the following application problem. if 55 pounds of grass seed cover 404 square feet, how many pounds are needed for 7272 square feet?

Answers: 1

Answer

Mathematics, 21.06.2019 22:30

Aaron invested a total of $4,100, some in an account earning 8% simple interest, and the rest in an account earning 5% simple interest. how much did he invest in each account if after one year he earned $211 in interest? select one: a. $200 at 8%, $3,900 at 5% b. $3,200 at 8%, $900 at 5% c. $900 at 8%, $3,200 at 5% d. $3,900 at 8%, $200 at 5%

Answers: 1

Answer

You know the right answer?

The overhead reach distances of adult females are normally distributed with a mean of 205 cm and a s...

Questions