Answered: If μx = 30 and σx = 4, Determine…

If μx = 30 and σx = 4, Determine P(X<31) for n = 4. a) What is the mean,μx, of the random variable? b) What is the standard deviation,σx, of the random variable?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: a. What is the probability that the sample mean will be within +/- 4 of the population mean (to 4…

A: Given Data Population Mean,μ = 200.0 Population Standard Deviation,σ = 90.0 sample…

Q: The level, in grams per millilitre, of a pollutant at different locations in a certain river is deno…

A: Given : population variance = 0.0000409 population standard deviation , σ = 0.0000409= 0.0063

Q: Questions 10–11. Suppose the mean weekly income of students working in Toronto is u with a standard…

A: Solution

Q: A large population (consisting of measurements of diameters of ball bearings) has mean u and…

A: Answer is explained below

Q: Researchers conducted a study to determine whether magnets are effective in treating back pain. The…

A: n1=12, n2=12x¯1=0.48, x¯2=0.43s1=0.95, s2=1.16

Q: Assume that females have pulse rates that are normally distributed with a mean of mu equals…

Q: sume that females have pulse rates that are normally distributed with a mean of μ = 72.0 beats per…

A: Mean (μ)=72.0 standard deviation (σ)=12.5 a) P(X<76)=0.6255 b) sample size (n)=16 Find…

Q: Let X be a random variable with a normal distribution. The mean is given by (mu) = 85 and (sigma) =…

A: We have to find given probability.

Q: x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For…

Q: A random variable x that is distributed normally with a mean of 5 and a standard deviation of 2. 1.…

A: Normal distribution z=x-μσ where μ is mean of the random variable σ is standard deviation of the…

Q: (d) Draw a graph of the probability distribution and comment on its shape

A: here given n = 6 p = 0.75

Q: Need help with D and E

Q: The following distribution is for two populations (A and B) that have normal distributions for…

A: The correct option is 0.1693

Q: a. The random variable rU[d, v],d > 0 v > and v >d i. find Var(x) Given that d = 4 and v = 7 i. Find…

A: It is an application of probability . It is a continuous probability distribution function oriented…

Q: Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood).…

A: Given that Sample size n =31 Sample mean =8.6 Sample standard deviation =3.1

Q: the variable Z is normally distributed with mean equal to 0 and standard deviation equal to 1. The…

A: Given that Z is normally distributed with mean equal to 0 and standard deviation equal to 1.

Q: Exercise 1.3. A normally distributed random variable has a mean of 449: a. If a score of 325 has a…

Q: Women's heights are normally distributed with a mean given by µ = 63.6 in. and a standard deviation…

Q: A normal population has mean u = 36 and standard deviation 0 = 7 (a) What proportion of the…

A: Given that X~N(μ= 36 , σ= 7 ) μ= 36 , σ= 7 Formula for Z-score Z=(X-μ)/σ

Q: Time left 0:57:32 Toll Brothers is a luxury home builder that would like to test the hypothesis that…

A: We have given that Sample size n =25 Variance ?2 =160000 Standard deviation =390 Level of…

Q: Z is normally distributed with mean equal to 0 and standard deviation equal to 1. The probability…

A: We have given that. X~N( 0, 1 ) μ =0 , ? =1 Z-score =( x - μ )/?

Q: members in your family, as a population and their weight as a random number. First measure their…

A: It is an important part of statistics. It is widely used.

Q: he U.S. Geological Survey compiled historical data about Old Faithful Geyser (Yellowstone National…

A: Solution: Given information: n1=8820 Sample size of old faithful eruption for the years 1948 to…

Q: (b) Consider, the number of family members in your family, as a population and their weight as a…

A: b. The number of members in my family is 4. Let X denote the weights of family members. The weights…

Q: A random sample of n = 16 scores is obtained from a population with a standard deviation of σ = 18.…

A: Solution: From the given information, n=16, σ=18, x-bar=86 and z=2.

Q: 3. Solve for k in the following equation: I(k +1) = 132(k - 1) k =1,2,3, . 4. The weights (in…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: On average, an airplane produces 15 kg of carbon dioxide (CO₂) per kilometre. A big airline with a…

A: i. Hypotheses: H0: μ≤11H1: μ>11 The null hypothesis states that the average carbon dioxide…

Q: The following distribution is for two populations (A and B) that have normal distributions for…

A: A normal distribution has bell shaped curve and it is symmetric about the mean. The normal…

Q: i-What is the value of the sample test statistic? (Round your answer to three decimal places.)

A: Given data : sample size, n =31 sample mean, x̄ = 8.8 sample standard deviation,s=…

Q: A random sample of size 25 is taken from a normal population having a mean of 85 and a standard…

A: Let X be the first random sample and Y be the second random sample.

Q: Q3: Let i be the observed mean of a random sample of size n from a distribution having mean u and…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: ox =L (Round to two decimal places as needed.) (c) Compute the mean and standard deviation, using px…

A: (C) Let X be the random variable from binomial distribution with probability (p) = 0.75 and sample…

Q: (b) Suppose that 115 packs of potato chips are randomly chosen. Find the probability that at most 57…

A: The random variable X which represents the weighs of pack of potato chip. The probability that a…

Q: Kyle's doctor told him that the z-score for his systolic blood pressure is 1.75. Which of the…

Q: 4. The SAT scores of the incoming freshmen class are normally distributed with a mean of 1100 and…

A: Obtain the Z-score for the random variable X equals 1250. The Z-score for the random variable X…

Q: See photo for question. Is this a t distribution since we don't know the standard deviation of the…

A: It is given that the sample sizes n1 and n2 are large samples but the population standard deviation…

Q: If the variable Z is normally distributed with mean equal to 0 and standard deviation equal to 1.…

A: the variable Z is normally distributed with mean equal to 0 and standard deviation equal to 1.

Q: The confidence interval for the population variance was found to be 86.233 to 456.955. However, a…

A: The confidence interval of population variance is given = (86.233, 456.955)

Q: Given X~N(50,16) and P(X > 25). The z-score value is: А. 25 – 50 С. 25 – 50 Z = 4 16 В. D. Z = 50 –…

A: Since, you have asked multiple questions, we will solve the first question for you. If you want a…

Q: According to USPS study, the weights of shipment packages are normally distributed with a mean of…

A: From the provided information, Mean = 28.2 Standard deviation = 5

Question

1. If μ_x = 30 and σ_x = 4, Determine P(X<31) for n = 4.

a) What is the mean,μ_x, of the random variable?

b) What is the standard deviation,σ_x, of the random variable?

**I am mainly confused whether the S.D. for part (b) would be the value that is given (σ_x = 4) or if it is "σ/√n" (which would be 4/√4 = 2).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

8,10
I need the answer as soon as possible
Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, the mean of the x distribution is ? = 7.4.† A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 41 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.5 with sample standard deviation s = 3.0. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. (a) What is the level of significance? State the null and alternate hypotheses. (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. What is the value of the sample test statistic? (c) Estimate the P-value. Sketch the sampling distribution and show the area corresponding to the P-value. (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the…
Question 9 According to a study, the salaries of registered nurses are normally distributed with a mean of 55770 dollars and a standard deviation of 6955 dollars. Let X be the salary of a randomly selected registered nurse. 1. Describe the probability distribution of X and state its parameters and o: (μ: X Select an answer Select an answer B IZ XLIN Z 2. Find the probability that the salary of a randomly selected registered nurse is a. less than 71106 dollars. b. between 35101 and 48927 dollars. c. more than 71605 dollars. σ= (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) 3. Find the 55-th percentile for the salaries of registered nurses. decimal place) dollars (Round the answer to 1
On the first quarterly examination in Statistics and Probability of the 100 students of Grade 11 senior high school, their exam scores have a mean of 87 and a standard deviation 4. c) What percentage of students have grades between 83 and 91? Gaussian Curve
Let x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, the mean of the x distribution is ? = 7.4.† A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 31 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.8 with sample standard deviation s = 3.1. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. a) What is the level of significance? b) What is the value of the sample test statistic? (Round your answer to three decimal places.)
Please answer quickly
Q3: The effective life of a component used in a jet-turbine aircraft engine is a random variable with mean 5000 hours and standard deviation 40 hours. The distribution of effective life is fairly close to a normal component that increases the mean life to 5030 hours and decreases the standard deviation to 30 hours. distribution. The engine manufacturer introduces an improvement into the manufacturing process for this Suppose that a random sample of n₁ = 16 components is selected from the "Old" process and a random sample of n₂ = 25 components is selected from the "Improved" process. What is the probability that difference in the two-sample means that the old and improved processes can be regarded as independent populations. 5 X₂X₁ is at least 15 hours? Assume
3. We are throwing a die twice. Find the distribution of the random variable |X – Y|= (difference of scored points). Find its mean value and variation. [Ans. E(|X – Y|) = 1,94 ]
Question 7 According to the data, the weight of a randomly selected checked-in luggage has a normal distribution with a mean of 51 lbs and a standard deviation of 9 lbs. Let X be the weight of a randomly selected checked-in luggage and let S be the total weight of a random sample of size 33. 1. Describe the probability distribution of X and state its parameters and o: X~ Select an answer (μ = Select an answer unknown X² B N T 2. Use the Central Limit Theorem and find the probability that the weight of a randomly selected checked-in luggage is less than 61 lbs. (Round the answer to 4 decimal places) Check-In Select an answer Select an answer the original population is normally distributed the sample size is large (n>30) although the distribution of the original population is unknown the sample size is small (n<30) and the distribution of the original population is unknown the distribution of the original population is unknown S~ Select an answer (s= Select an answer σ= to describe the…
E and f