Company XYZ knows that replacement times for the mircowaves it produces are normally distributed with a mean of 15.3 years and a standard deviation of 1.3 years. Let X be the replacement time of a randomly selected mircowave. a. What is the distribution of X? X-NV Please show the following answers to 4 decimal places. b. If a mircowave is randomly chosen, find the probability that it will be replaced in at most 18 years. 0.9811✔ Or 15.3 1.3 c. If a mircowave is randomly chosen, find the probability that it will be replaced between 12.6 and 14.8 years. 0.3314✓ Please show the following answer to 1 decimal place. d. If the company wants to provide a warranty so that only 7% of the mircowaves will be replaced before the warranty expires, what is the time length of the warranty? years

Q: Assume that x has a normal distribution with the specified mean and standard deviation. Find the…

A: Given  X~N(μ=3.1, standard deviations σ=0.36)

Q: i) Use an appropriate method to show that W = is a pivotal quantity. ii) Construct a 90% upper…

A: A quantity is said to be pivotal quantity if it's distribution is free from parameter of interest.

Q: Calculate the approximate price relatives to two decimal places for the MTN and Vodacom stocks over…

A: Given Information: Consider the given information: Stock Price p0 Qty q0 Price p1 Qty q1…

Q: At the 0.05 significance level, test the claim for the modified components, the mean time, between…

A: The hypothesized mean is 14 oz.

Q: o Show that the expected value and variance of a one-period yield function for geometric Brownian…

A: Given the statement that the expected value and variance of a one-period yield function for…

Q: A data set includes 106 body temperatures of healthy adult humans having a mean of 98.9°F and a…

A: Solution: Given information: n=106 Sample size x=98.9 Sample mean s=0.63 Sample standard deviation

Q: elligence change across the lifespan? A researcher conducts a longitudinal study by collecting data…

A: Age is the independent variable -x, that takes the values 4,14,24 and 34 soon Emotional Intelligence…

Q: A company producing steel nails receives an order for 5000 nails of length 50 mm. Due to external…

A: We have given that A company producing steel nails receives an order for 5000 nails of length 50 mm…

Q: Let X and Y be two random variables with the joint density function x £xr (x, y) = (x² + 2/² 3 0 "…

A:

Q: In the following questions, find the test statistic and give the appropriate conclusion for the…

A: Note: According to Bartleby guidelines expert solve only one question and rest can be reposted.

Q: 95% confidence interval for the mean reading achievement score for a population of third grade…

A: Answer:The 99% interval is longer.  Reason: Formula: x±zc ​σ​ /√n  x-sample mean  ​σ- population…

Q: A store manager gathers some demographic information from the store's customers. The following chart…

A: Given:   Age Number of customers 20 61 20-29 86 30-39 90 40-49 73 50-59 78 60 84

Q: An experiment consists of randomly drawing 3 cards from a standard deck (without replacement). The…

A: From the provided information, it is considered that: The total no. of cards in a standard deck,…

Q: c) Suppose that the results of carrying out the hypothesis test lead to non-rejection of the null…

A: Given Information: The null and alternative hypotheses are: H0:θ-0.90H1:θ=0.60 Consider Y as the…

Q: Salaries of Government Employees The mean salary of federal government employees on the General…

A: Given: μ = 59593 n = 36 σ = 1500 α = 0.01 Formula Used: Test-statistic-Z = X-μσn

Q: Calculate the mean speed in miles per hour attained between zero (0) and (7) for this distribution.…

A: Calculate the mean speed in miles per hour attained between zero (0) and (7) for this distribution.…

Q: Identify the sampling techniques used in each scenario. a. To ensure the quality of its products,…

A: In simple random sampling, each unit in the population has equal chance of being selected. Required…

Q: i) Find the sampling distribution of the statistic W = X₁ + 2X₂ - X3 + X₁ + X5. ii) What is the…

A:

Q: i) Show that the standard score of the sample mean X, is equal to Y. ii) Show that the mean and…

A: It is given that  X follows N(θ, 1), then E(X) = θ and V(X) = 1, And the moment genarating function…

Q: 18. Use the information in Figure 2 below to answer questions 18 through to 22. The data in Figure 2…

A: Solution: From the given information,

Q: R3.1-R3.18. What design? Analyze the design of each research example reported. Is it a sample…

A: Given Information: Consider the given study.

Q: The data in Figure 2 below has to do with the stocks of three of South Africa's biggest mobile…

A: Solution: From the given information,

Q: Trisha has received the following grades this term: 75, 87, 90, 88, 79. If she wishes to earn an 85…

A: Given values: 75 87 90 88 79 Consider, the average value for above grades, SPSS Procedure: Enter…

Q: Let X be any distribution that has a mean of 50 and a standard deviation of 10. If you took a sample…

A:

Q: success is p, determine the value of p approximate to three (3) decimal places. A. 0.084 / B. 0.400…

A: It is given that  Sample size, n = 10 P( X = 3 ) = 0.215 P( X = x ) = 0.251

Q: a) Let 3, 1,3,0,3,2,2,0, 1, 2 be ten independent observations from a binomial experiment of four…

A: X~Bin(n=4,β) Sample size=10

Q: Here is a table showing all 52 cards in a standard deck. Color Red Red Diamonds A Black Suit Ace Two…

A: We know thatno.of black cards=26no.of club cards=13no.of face cards=12Total no.of cards=52

Q: Suppose a mutual fund qualifies as having moderate risk if the standard deviation of its monthly…

A: The population standard deviation is 4 and sample standard deviation is 3.48. The sample size is 26.

Q: i) Show that the standard score of the sample mean X, is equal to Y. ii) Show that the mean and…

A: It is given that  X follows N(θ, 1), then E(X) = θ and V(X) = 1, And the moment genarating function…

Q: a) Let 3, 1,3,0,3, 2, 2, 0, 1, 2 be ten independent observations from a binomial experiment of four…

A: X~Bin(n=4, β)

Q: Let X₁, X2, X3,..., Xn denote a random sample of size n from the population distributed with the…

A:

Q: Sick Days in Bed A researcher wishes to see if the average number of sick days a worker takes per…

A:

Q: Identify and describe a type of reliability that measures participant reliability. Why is it useful

A: Internal consistency assesses the correlation between multiple items in a test that are intended to…

Q: The weight of 45 watermelons from a farm is shown below. Weight Frequency 11-15 4…

A: Given N=45

Q: A company sells 20-ounce bottles of soda. There isn’t exactly 20 ounces in every single bottle,…

A: Given  Mean=20, sd=0.143, n=30

Q: c) Suppose that the results of carrying out the hypothesis test lead to non-rejection of the null…

A:

Q: ume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial…

A: given data,binomial distribution,n=4x=3p=0.45q=1-0.45=0.55p(X=x)=nCx *px*qn-x (binomial distribution…

Q: Construct the indicated confidence interval for the population mean y using the t-distribution.…

A: given data  c = 0.95 α = 1 - 0.95 = 0.05x¯ = 14.3s = 0.83n = 18

Q: Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2600 grams and…

A: GivenGestation period of 32-35 weeks haveMean(μ)=2600standard deviation(σ)=70Gestation period of 40…

Q: Let X₁, X2, X3,..., Xn denote a random sample of size n from the population distributed with the…

A:

Q: Find the positive critical value for testing Ho: = 14.22 versus Ha: 14.22 at significance level 0.1…

A: we have to find critical value  H0 : μ = 14.22Ha : μ ≠ 14.22α = 0.1n = 26

Q: 2. In a recent study on world happiness, participants were asked to evaluate their current lives on…

A: Given Mean=5.4 Standard deviation=2.2

Q: roblem 1) If Y' is an exponential random variable with Var[Y]-25, find the following: a) What is the…

A:

Q: In one town, monthly incomes for men with college degrees are found to have a standard deviation of…

A:

Q: The average student loan debt for college graduates is $26,000. Suppose that that distribution is…

A: GivenMean(μ)=26000standard deviation(σ)=11500

Q: Let X₁, X2, X3, ..., Xn denote a random sample of size n from the population distributed with the…

A:

Q: You wish to test the following claim (H) at a significance level of a = 0.002. For the context of…

A: It has been believed that the population of difference scores is normally distributed.

Q: (a) a range of years centered about the mean in which about 68% of the data (tree-ring dates) will…

A: From given data we have : mean μ=1236 standard deviation σ=33

Q: An experiment with 2 treatments (A and B) was conducted. Treatment A had 11 replications and…

A: It is given that treatment A has 11 replications and treatment B has 9 replications.

Q: Suppose that Y₁, Y₂, ..., Y₁ is a random sample from a normal distribution with parameter mean 0 and…

A: