ZuoTi.Pro
Question

Question 2 (4 marks) Part a) A sample of n-25 observations is drawn from a normal population with μ-100 and o-20. Find the following. i) P(X<96) ii) P(96-X-105) Part b) The amount of time the university professors devote to their jobs per week is normally distributed with a mean of 52 hours and a standard deviation of 6 hours. i) What is the probability that a professor works for more than 60 hours per weeks? ii) Find the probability that the mean amount of work per week for three randomly selected professors is more than 60 hours?

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Sample n=25 Mean Lu l00 devica tion X-u 96-100 20 (25 足D yx X5 20 ニー20 o 158 殳。 えニー] 0 om えtale) P(X496) = 15.97/.25, 어 Zs = 96-100 olas 0165 -=-20 20 Nouw Calcula tingX-u 105-100 20 125 1 1,25 l-o6 between귀3547 0. 0-1537 P/ 271 1 oo 125 = 0.4357 PC964 05)0+5t Part (b) Mzar 52hours 6 Hours O khat is the hobakility thot Piojessor uworlks fo more thun 60hs Per wwek? Standard nomal distbux-u 60-52 31 3380.0918 133 04082-410m table 二0.091B p( 266) = 0.0913 that the mean finount-9- nnecun ) find the probabil, 60-52 2309 나이3/え (X 760) =p(Z72-31 IIH

0 0
Add a comment
Know the answer?
Add Answer to:
Question 2 (4 marks) Part a) A sample of n-25 observations is drawn from a normal...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Please computer typed, do not use hand writing! ! ! Thanks Question 2 (4 marks) Part...

    Please computer typed, do not use hand writing! ! ! Thanks Question 2 (4 marks) Part a) A sample of n-25 observations is drawn from a normal population with μ-100 and o-20. Find the following. i) P(X<96) ii) P(96-X-105) Part b) The amount of time the university professors devote to their jobs per week is normally distributed with a mean of 52 hours and a standard deviation of 6 hours. i) What is the probability that a professor works for...

  • Please give the text answer do not with hand writing, Thanks Question 2 (4 marks) Part...

    Please give the text answer do not with hand writing, Thanks Question 2 (4 marks) Part a) A sample of n-25 observations is drawn from a normal population with μ-100 and o-20. Find the following. i) P(X<96) ii) P(96-X-105) Part b) The amount of time the university professors devote to their jobs per week is normally distributed with a mean of 52 hours and a standard deviation of 6 hours. i) What is the probability that a professor works for...

  • Suppose a random sample of n = 25 observations is selected from a population that is...

    Suppose a random sample of n = 25 observations is selected from a population that is normally distributed with mean equal to 109 and standard deviation equal to 15. (a) Find the probability that x exceeds 113. (b) Find the probability that the sample mean deviates from the population mean μ = 109 by no more than 5.

  • A random sample of n=49 observations is drawn from a population with a mean equal to...

    A random sample of n=49 observations is drawn from a population with a mean equal to 59 and a standard deviation equal to 28. a. Find the probability that x overbarx is less than 47. b. Find the probability that x overbarx is greater than 69. c. Find the probability that x overbarx falls between 47 and 67

  • (1 point) A sample of n = 14 observations is drawn from a normal population with...

    (1 point) A sample of n = 14 observations is drawn from a normal population with u= 940 and o = 170. Find each of the following: A. P(7 > 1030) Probability = B.P(7 < 853) Probability = C. P(X > 935) Probability = Note: You can earn partial credit on this problem. Show correct answer column

  • A random sample of n=49 observations is drawn from a population with a mean equal to...

    A random sample of n=49 observations is drawn from a population with a mean equal to 20 and a standard deviation equal to14. a. Find the probability that x overbarx is less than 14. b. Find the probability that x overbarx is greater than 25. c. Find the probability that x overbarx falls between 14 and 22. LOADING... Click the icon to view the table of normal curve areas. a. The probability that x overbarx is less than 14 is...

  • Independent random samples of n = 16 observations each are drawn from normal populations. The parameters...

    Independent random samples of n = 16 observations each are drawn from normal populations. The parameters of these populations are: Population 1: u = 279 and o = 25 Population 2: j = 268 and o = 29 Find the probability that the mean of sample 1 is greater than the mean of sample 2 by more than 16. Probability =

  • Independent random samples of n = 100 observations each are drawn from normal populations. The parameters...

    Independent random samples of n = 100 observations each are drawn from normal populations. The parameters of these populations are: • Population 1: μ1 = 300 and σ1 = 60; • Population 2: μ2 = 290 and σ2 = 80. (1) What is the probability that the mean of Population 1 is between 294 and 306? (2) How many samples should be included if we want the probability in Part (1) to be at least 95%?   (3) What is the...

  • A random sample of n=49 observations is drawn from a population with a mean equal to...

    A random sample of n=49 observations is drawn from a population with a mean equal to 49 and a standard deviation equal to 28. a. Find the probability that x over bar x is less than 41. b. Find the probability that x over bar x is greater than 59. c. Find the probability that x over bar x falls between 41 and 57 a. The probability that x over bar x is less than 41 is _______​(Round to three...

  • A random sample of n=49 observations is drawn from a population with a mean equal to...

    A random sample of n=49 observations is drawn from a population with a mean equal to 51 and a standard deviation equal to 14. a. Find the probability that x over bar x is less than 45. b. Find the probability that x over bar x is greater than 54. c. Find the probability that x over bar x falls between 45 and 53 The probability that x over bar x is less than 45 is ________- (Round to three...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT