Given x is a normal variable with µ = 49 and σ = 5.5. Find the following: a) P (35 ≤ x ≤ 53) b) P (x ≤ 55)

Q: You are given that Hx=164.7 cm and Ox=7.1 cm, where X is the height of a random female living in the…

A: Given information- Population mean, μx = 164.7 cm Population standard deviation, σx = 7.1 cm Sample…

Q: What are the values of a in accordance to Z table: P[-1.55 1.23] = a

A:

Q: A population of values has a normal distribution with mean of 159.4 and standard deviation of 80.5.…

A: a) A population value has a normally distributed with mean 159.4 and standard deviation 80.5. The z…

Q: Let u denote the mean yield strength of a certain type of steel bar, in units of mPa. A test will be…

A:

Q: I) Let X = N (50, 10)...which means normal with mean 50 and standard deviation 10 a) Draw the Normal…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: IQ scores are normally distributed with μ=100 and σ=15. A simple sample of n=30 students is taken,…

A:

Q: E. A coin is tossed 400 times. Find the probability of obtaining a) exactly 205 heads. b) less than…

A:

Q: The distribution of scores on the SAT test is approximately normal with μ = 500 and σ = 100. a. What…

A:

Q: To test whether the mean time needed to mix a batch of material is the same for machines produced by…

A: Given data: 1 2 3 21 34 23 27 32 22 25 37 26 23 33 25 Significance level, α=0.05

Q: If a researcher reported for a single-sample t-test that t(17) = 2.90, p< 0.02, how many subjects…

A: The objective of the question is to determine the number of subjects in a study based on the t-value…

Q: The central limit theorem refers to the fact that ?

A: We have to determine what Central Limit Theorem say about mean or sum of observations.

Q: Find the value of z for the sample mean using the formula from the Central Limit Theorem given that…

A: From the provided information, Sample mean (x̅) = 36 Mean (µ) = 35 Standard deviation (σ) = 6 Sample…

Q: How is the magnitude of the standard error of estimate related to the value of the correlation?…

A: It is given that the value of the correlation is larger. The correlation value is larger if it is…

Q: The amount of coffee poured from a dispenser into a glass obeys the normal law whose average is 300…

A: Mean Standard deviation

Q: The following histogram shows the distribution of serum cholesterol level (in milligrams per…

A: Given histogram is

Q: Prove that the cube 0≤ ≤ 1,0 ≤ y ≤ 1,0 ≤ ≤1 is a normal domain.

A: Given: Cube 0≤x≤1, 0≤y≤1 and 0≤z≤1. To prove: The domain of the cube is normal.   Results: 1) A…

Q: The profits of a mobile company are normally distributed with Mean of R.O (19 x 10) and standard…

A: Solution: c. Let X be the profit of a mobile company. From the given information, X follows normal…

Q: What percentage of the total area of the Normal Error Curve is between +0.7 o and -0.30 of the mean…

A:

Q: You are given that x=164.7 cm and 0x=7.1 cm, where X is the height of a random female living in the…

A:

Q: For an exam Scores normally distnouled M: 80, 0=5 as Mean Standard eor Por dismibuhion OP sample…

A: Solution

Q: A random sample of 50 is taken from a population with the following distribution: Pr (Y) 0.4 0.6 Y…

A:

Q: Q2. Suppose heights of female (cm) is normally distributed as N(μ= 165, o² = 7.5²) where the mean μ…

A: We have,   Heights of female (cm) is normally distributed as N(μ=165,σ2=7.52) where the mean μ = 165…

Q: Number of alcoholic drinks per week (i.e., drinking) and GPA have r = -0.69, which of the following…

A: When the y variable tends to decrease as the x variable increases, it can be said that there is a…

Q: many people typically andom sample households reveals the statistics ē = 4 and s = 1.2 people per…

A: In the given situation, the sample size is 105, the sample mean is 4 and the sample standard…

Q: The number of accidents per day at a large factory is noted for each of 64 days with x-bar = 3.58…

A: Given that, mu= 3.58.s= 1.52 Sample size, n= 64 We've to find P(3.20<X<3.96) We know that,  Z…

Q: Q2. The two stuclentsl X and Y following the scores made in by are an examinaMoy 50 45 90 18 28 29…

A: X Y (x-xbar)^2 (y-ybar)^2 28 52 522.449 111.7551 29 18 477.7347 1986.612 45 95 34.30612…

Q: When we perform a chi-square test for independence, the null hypothesis states that the two…

A: It is given that the statement about to the Chi-Square test for independence. Here, need to find out…

Q: A researcher has boiled her hypothesis test down to the following information. Ho: 41, Ha μ> 41, a =…

A: Problem Statement A researcher has boiled her hypothesis test down to the following information:…

Q: Compute the number significant digits for a given relative error r.e.=0.005. O 4 O 2 O 3.0000 O 3

A:

Q: The mean weight of male dancers in a local modern dance company is at least 167 lbs. Express the…

A: The null hypothesis is set up with the assumption that the inferred statement about a defined…

Q: two tail test with Zcalc = -1.9. What is the p-value of the test?   a) 0.9426   b) 0.9713   c)…

A: From the given information, the Z calculated value is Zcalc = -1.9. Here, Z is a two tailed test.

Q: What type of statistical test are you conducting if h1 states that the parameter is greater than the…

A: Given that,  h1 states that the parameter is greater than the value claimed in h0.

Q: Consider the following: In general, when people diet they typically lose 10 lbs. (?σ = 2). A…

A: Given, μ=10σ=2x¯=15n=16 Aim: Do people on the keto diet lose more or less weight than people on…

Q: The critical value of chi-square is ____ when degrees of freedom equal 4 and "a" equals .05. A)…

A: Given that, Degrees of freedom = 4 Level of significance = 0.05

Q: Determine the percentage of cases that fall: 1. z score of 2: a) at score & tail b) at score & body…

A: we have to find area in tail and body. (A) z = 2 (b) z = -3.33

Q: Consider testing HO: u=20 against Ha: u<20 where u is the mean number of latex gloves used per week…

A: The random variable number of latex gloves follows normal distribution. We have to test whether the…

Q: Cohen's d score of 1.2 is considered to be:   Small Negligible Medium Large

A: Cohen's d score=1.2

Q: Given the normally distributed r.v. x with o= 2 and Px > 15) = 0.9938 then equals Select one: a.…

A: Given, σ = 2 P(x&gt;15) = 0.9938

Q: 0 out of 200 men and 30 out of 300 women randomly selected in one region are anti-vaccine. Which of…

A: Given data,For Men:x1=20n1=200For Women:x2=30n2=300 point estimate of the difference between the…

Q: For testing H,: M=M, V.S H;: M2.546)=0.01, then the p- value is اختر احدى الدجابات 0.99 0.1 X 0.9…

A: Statistical hypothesis testing is an important method in inferential statistics. It is used to test…

Q: Which of the following is the closest estimate of r for the following scatterplot? a. .4    b. 0…

A: Introduction The scatterplot is a graphical representation of the relationship b/w the 2 variables.

Q: 5. If X is normally distributed with a mean of 6 and a variance of 25, find a) P(1.2 ≤X -2) c) P(6…

A: Let X be a continuous random variable which is normally distributed with mean μ=6 and variance…

Q: How would a person set up the hypotheses if they wanted to test the claim: the mean height of a jump…

A: We have to find hypothesis..

Q: 19) If z is a standard normal variable, find the probability that z lies between -2.41 and 0. A)…

A: given data  standard normal distribution Z~N(0,1) P(-2.41&lt;z&lt;0) = ?

Q: . For each of the following examples, state whether the chi-square goodness-of-fit or the chi-square…

A: In this case, we need to use chi-square goodness of fit or the chi-square test for independence…