Homework Answers
Ans:
Given that
mean=150
standard deviation=15
a)P(Z>z)=0.8765
P(Z<=z)=1-0.8765=0.1235
z=-1.158
x=150-1.158*15=132.63
b)
P(Z<z)=0.6330
z=0.3398
x=150+0.3398*15=155.097
The weight of Male babies less than 2 months old in the United states is normally distributed with mean 12.5 pounds and standard deviation 5.1 pounds. A) what proportion of babies weigh more than 14 pounds. ?B) what proportion of babies weigh less than 1
The question is asking for proportions for each problem and for the answers to be rounded four decimal places Baby weights: The weight of male babies less than 2 months old in the United States is normally distributed with mean 12.5 pounds and standard deviation 5.1 pounds. Use the TI-84 Plus calculator to answer the following. (a) What proportion of babies weigh more than 14 pounds? (b) What proportion of babies weigh less than 16 pounds? (c) What proportion of...
Suppose a population of scores x is normally distributed with μ = 150 and σ =...
Suppose a population of scores x is normally distributed with μ = 150 and σ = 12. Use the standard normal distribution to find the probability indicated. (Round your answer to four decimal places.) Pr(x > 180)
Problem3 (15 points (a) (8 points) Let x, X, be a random sample from normal distribution NG, σ, ....
Problem3 (15 points (a) (8 points) Let x, X, be a random sample from normal distribution NG, σ, . s are sample mean and sample variance. Consider the probabilities PC, μ) and PS? σ)-are they equal? (b) (7 points) Let X, , ,X, be a random sample from normal distribution Mo, σ, R, s are sample mean and sample variance. Let y.... is and independent sample from the same distribution. Y, s are corresponding sample mean and sample variance. Let...
A normal distribution has a mean of μ = 80 with σ = 12. Find the...
A normal distribution has a mean of μ = 80 with σ = 12. Find the following probabilities. (a) p(X > 83) (b) p(X < 74) (c) p(X < 92) (d) p(71 < X < 89)
9. Let X and Y be two random variables. Suppose that σ = 4, and σ...
9. Let X and Y be two random variables. Suppose that σ = 4, and σ -9. If we know that the two random variables Z-2X?Y and W = X + Y are independent, find Cov(X, Y) and ρ(X,Y). 10. Let X and Y be bivariate normal random variables with parameters μェー0, σ, 1,Hy- 1, ơv = 2, and ρ = _ .5. Find P(X + 2Y < 3) . Find Cov(X-Y, X + 2Y) 11. Let X and Y...
10-13.. Consider the hypothesis test H0 : μι Ma against , : μ.< μ2. Suppose that sample sizes n-15 and n-15, that 7.2 and x2-7.9, and that si 4 and s 6.25. Assume that σ-σ and that the data ar...
10-13.. Consider the hypothesis test H0 : μι Ma against , : μ.< μ2. Suppose that sample sizes n-15 and n-15, that 7.2 and x2-7.9, and that si 4 and s 6.25. Assume that σ-σ and that the data are drawn from normal distribu- tions. Use α 0.05 (a) Test the hypothesis and find the P-value (b) Explain how the test could be conducted with a confidence interval. than μ2? be used to obtain B 0.05 if u, is 2.5...
Suppose x has a distribution with μ = 10 and σ = 2. (a) If a random sample of size n = 39 is drawn, find μx, σ x and P(1...
Suppose x has a distribution with μ = 10 and σ = 2. (a) If a random sample of size n = 39 is drawn, find μx, σ x and P(10 ≤ x ≤ 12). (Round σx to two decimal places and the probability to four decimal places.) μx = σ x = P(10 ≤ x ≤ 12) = (b) If a random sample of size n = 56 is drawn, find μx, σ x and P(10 ≤ x ≤...
Baby weights: The weight of male babies less than 2 months old in the United States...
Baby weights: The weight of male babies less than 2 months old in the United States is normally distributed with mean 11.4 pounds and standard deviation 2.9 pounds. Use Table A.2 to answer the following Part 1 What proportion of babies weigh more than 13 pounds? The proportion of babies weighing more than 13 pounds is 10.2912 | Part 2 What proportion of babies weigh less than 15 pounds? The proportion of babies weighing less than 15 pounds is 0.8925...
Find P(x>120) P(x>120) provided that it is known that μ=95 μ=95 and σ=14 σ=14 . Assume...
Find P(x>120) P(x>120) provided that it is known that μ=95 μ=95 and σ=14 σ=14 . Assume that the distribution is approximately normal. Select one: a. 0.7852 b. 0.0367 c. 0.9633 d. 1.7936
For a normal distribution, find the probability of being (a) Between μ−3σ μ − 3 σ...
For a normal distribution, find the probability of being (a) Between μ−3σ μ − 3 σ and μ+3σ μ + 3 σ (b) Between 2 standard deviations below the mean and 2.5 standard deviations above the mean (c) Less than μ−1σ μ − 1 σ Use the Standard Normal Table in your textbook or Excel to obtain more accuracy.
Problem3 (15 points (a) (8 points) Let x, X, be a random sample from normal distribution NG, σ, . s are sample mean and sample variance. Consider the probabilities PC, μ) and PS? σ)-are they equal? (b) (7 points) Let X, , ,X, be a random sample from normal distribution Mo, σ, R, s are sample mean and sample variance. Let y.... is and independent sample from the same distribution. Y, s are corresponding sample mean and sample variance. Let...
9. Let X and Y be two random variables. Suppose that σ = 4, and σ -9. If we know that the two random variables Z-2X?Y and W = X + Y are independent, find Cov(X, Y) and ρ(X,Y). 10. Let X and Y be bivariate normal random variables with parameters μェー0, σ, 1,Hy- 1, ơv = 2, and ρ = _ .5. Find P(X + 2Y < 3) . Find Cov(X-Y, X + 2Y) 11. Let X and Y...
10-13.. Consider the hypothesis test H0 : μι Ma against , : μ.< μ2. Suppose that sample sizes n-15 and n-15, that 7.2 and x2-7.9, and that si 4 and s 6.25. Assume that σ-σ and that the data are drawn from normal distribu- tions. Use α 0.05 (a) Test the hypothesis and find the P-value (b) Explain how the test could be conducted with a confidence interval. than μ2? be used to obtain B 0.05 if u, is 2.5...
Baby weights: The weight of male babies less than 2 months old in the United States is normally distributed with mean 11.4 pounds and standard deviation 2.9 pounds. Use Table A.2 to answer the following Part 1 What proportion of babies weigh more than 13 pounds? The proportion of babies weighing more than 13 pounds is 10.2912 | Part 2 What proportion of babies weigh less than 15 pounds? The proportion of babies weighing less than 15 pounds is 0.8925...
Most questions answered within 3 hours.
-
Consider a t distribution with 15 degrees of freedom. Compute
P(-1.42<t<1.42). Round your answer to at...
asked 10 minutes ago -
2-chloro-2-methylpropane is classified as a ____.
primary alkyl chloride
secondary alkyl chloride
tertiary alkyl chloride
asked 8 minutes ago -
Help would be greatly appreciated
Mark each of the statements below as True (T) or False...
asked 10 minutes ago -
Population Standard Deviation
5.0000
Sample Size
11
Sample Mean
54.9091
Confidence Interval
Confidence Coefficient
0.98
Lower...
asked 9 minutes ago -
How the process improvement(poka-yoke, kaizen, deming cycle,
mistake-proofing, DMAIC) people can employ in their work or...
asked 12 minutes ago -
Write a program to control a bread machine. Allow the user to
input the type of...
asked 20 minutes ago -
Turn design in research is an examination of:
Question 5 options:
A)
What and how something...
asked 25 minutes ago -
A particle with a net charge of 1.2 mC is placed in a uniform
electric field...
asked 35 minutes ago -
For questions 1 and 2 below, using what you
have learned in class, analyze and discuss...
asked 35 minutes ago -
Zinc sulfide reacts with oxygen according to the reaction:
2ZnS(s)+3O2(g)→2ZnO(s)+2SO2(g) A reaction mixture initially
contains 3.4...
asked 41 minutes ago -
Using traditional
methods, it takes 9.0 hours to receive a basic flying license. A
new license...
asked 44 minutes ago -
The EPA wants to test a randomly selected sample of n
n
water specimens and estimate...
asked 51 minutes ago