Mathematics, 14.04.2020 21:34 montesa0910

25 men from Pinellas County were randomly drawn from a population of 100,000 men and weighed. The average weight of a man from the sample was found to be 150 pounds with a standard deviation of 54 pounds, Assuming the survey follows a normal distribution, find the 95% confidence interval for the true mean weight of men.

Answers: 2

Show answers

Answers

Answer from: savannahvargas512

95% confidence interval for the true mean weight of men is [127.71 pounds , 172.30 pounds].

Step-by-step explanation:

We are given that the average weight of a man from the sample was found to be 150 pounds with a standard deviation of 54 pounds

25 men from Pinellas County were randomly drawn from a population of 100,000 men.

Firstly, the pivotal quantity for 95% confidence interval for the true mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ t_n_-_1

where, $\bar X$ = sample average weight of a man = 150 pounds

s = sample standard deviation = 54 pounds

n = sample of men = 25

Here for constructing 95% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.

So, 95% confidence interval for the true mean, $\mu$ is ;

P(-2.064 < t_2_4 < 2.064) = 0.95 {As the critical value of t at 24 degree of

freedom are -2.064 & 2.064 with P = 2.5%}

P(-2.064 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.064) = 0.95

P( $-2.064 \times }{\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.064 \times }{\frac{s}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-2.064 \times }{\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.064 \times }{\frac{s}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-2.064 \times }{\frac{s}{\sqrt{n} } }$ , $\bar X+2.064 \times }{\frac{s}{\sqrt{n} } }$ ]

= [ $150-2.064 \times }{\frac{54}{\sqrt{25} } }$ , $150+2.064 \times }{\frac{54}{\sqrt{25} } }$ ]

= [127.71 pounds , 172.30 pounds]

Therefore, 95% confidence interval for the true mean weight of men is [127.71 pounds , 172.30 pounds].

Answer from: Quest

the answer is y = 11.54

hope this : )

Question 8 (fill in-the-blank worth 6 points) (07.02 mc) find the measure of angle y. round your ans

Answer from: Quest

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

Another question on Mathematics

Mathematics, 21.06.2019 15:10

The amount of energy it takes to lift a box might be a function of which of the following

Answers: 1

Answer

Mathematics, 21.06.2019 16:40

The table shows the total distance that myra runs over different time periods. which describes myra’s distance as time increases? increasing decreasing zero constant

Answers: 1

Answer

Mathematics, 21.06.2019 21:00

Louis wants to carpet the rectangular floor of his basement the basement has an area of 864 square feet the width of the basement is 2/3 its length what is the length of lewis's basement

Answers: 2

Answer

Mathematics, 21.06.2019 21:00

Hurry if the population of of an ant hill doubles every 10 days and there are currently 100 ants living in the ant hill what will the ant population be in 20 days

Answers: 2

Answer

You know the right answer?

25 men from Pinellas County were randomly drawn from a population of 100,000 men and weighed. The av...

Questions