2. The management of ABC Industries is considering a new method of assembling its golf cart. The present method requires 42.3 minutes, on the average, to assemble a cart. The mean assembly time for a random sample of 24 carts, using the new method, was 40.6 minutes, and the standard deviation of the sample was 2.7 minutes. Can we conclude that the assembly time using the new method is faster? A) State Ho and H, B) Test the hypothesis usıng the P-Value approach at a significance level of 1%, and express your decision.

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Q: 2. Final: United Motors clainms that one of its cars, the Starbird 300, gets city driving mileages…

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Q: What is the meaning of this Probability Value in context?

A: here use given data of hypothesis testing and p-value    When the administrators performed a…

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A: It is given that:

Q: The management of White Industries is considering a new method of assembling its golf cart. The…

A: 1. Let μ denotes the population mean assembly time. The test is that the assembly time using the new…

Q: 8. A sociologist focusing on popular culture and media believes that the average number of hours per…

A: Given : Mean : d = X1 - X2    = 1 σ1 = 2.3σ2 = 2.5 σd = σ12n1+σ22n2     = 2.3250+2.5250= 0.2308=…

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A:

Q: A report states that the mean yearly salary offer for students graduating with mathematics and…

A: From the provided information, Sample size (n) = 50 Sample mean (x̄) = 63400 Standard deviation (s)…

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A:

Q: An airline is trying two new boarding procedures, Option 1 and Option 2, to load passengers onto…

A: Given: Significance level α = 0.05 For option-1: Sample size n1 = 250 Sample mean X1 = 17.6 Sample…

Q: 2. A manufacturer of electronic kits has found that the mean time required for novices to assemble…

A: Given, A manufacturer of electronic kits has found that the mean time required for novices to…

Q: The research department at the home office of Superior Insurance conducts ongoing research on the…

A: Given: n1 = 400, x1 = 120 n2 = 600, x2 = 150 α = 0.05

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Q: a. Should they build the windmill? Justify by conducting a hypothesis test at α = 0.05. Report the…

A: here from given information  n = 35 sample mean = 21.4 mph sample standard deviation  = 5.4 mph…

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A: Given,   The sample proportion is,

Q: is there sufficient evidence to support the claim that the mean Option 1 loading time, μ1, is less…

A: Given : n1=205 , n2=270 , X1-bar=17.7 , X2-bar=18.3 ,  s1=5.1 , s2=4.1  , α=0.05 Here , we want to…

Q: A report states that the mean yearly salary offer for students graduating with mathematics and…

A: Givensample size(n)=50Mean(x¯)=63200standard deviation(s)=3900α=0.05claim is that that the mean…

Q: 2. A marine biologist claims that a harbor seal's average dive time is at least 5.8 minutes. A…

A:

Q: A report states that the mean yearly salary offer for students graduating with a degree in account…

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Q: Suppose that the makers of Duracell batteries want to demonstrate that their size AA battery lasts…

A: Hypotheses for the test are given below: H0:μ1-μ2≤45H1:μ1-μ2>45

Q: 7 The American Water Works Association reports that the per capita water use in a single-family home…

A: From the given problem, we have set of data is under 30 (n < 30), you want to use the…

Q: 4. OCEDA, an international health organization did a study that looked at the length of stay…

A: "Help with #4"   Given : For Germany : Mean length of hospital stay = 7.5 days standard deviation =…

Q: Suppose the mean wait-time for a telephone reservation agent at a large airline is 45 seconds. A…

A:

Q: The mean length of male geckos is 9.5 inches. A researcher studying a population of geckos in a…

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

Q: An airline is trying two new boarding procedures, Option 1 and Option 2, to load passengers onto…

A: There are two independent samples which are Option 1 loading time and Option 2 loading time. We have…

Q: An airline is trying two new boarding procedures, Option 1 and Option 2, to load passengers onto…

A: Solution: Given information: Option 1 sample statistic are n1= 265 x1 = 17.6 s1= 4.7Option 2 sample…

Q: report states that the mean yearly salary offer for students graduating with mathematics and…

A: Given data : sample size, n =50 sample mean, x̄ = 63400 sample standard…

Q: 1.The average length of a flight by regional airlines in the United States has been reported as 464…

A: Q. 1 Given : sample size(n)=30Sample mean(x)=479.6sample standard deviation(s)=42.8

Q: An airline is trying two new boarding procedures, Option 1 and Option 2, to load passengers onto…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: An airline is trying two new boarding procedures, Option 1 and Option 2, to load passengers onto…

A: Given Information: Option 1: Sample size n1=225 Sample mean x¯1=17.4 Sample standard deviation…

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A: In the given situation, the claim of the problem is "the average time a child spends brushing their…

Q: A trainer wanted to see if her new training regimen was effective in reducing the time it took to…

A: As we are authorized to only answer 3 subparts for each question and that you haven't specified…

Q: 2. A potato-chip producer and its main supplier agree that each shipment of potatoes must meet…

A:

Q: Suppose the mean wait-time for a telephone reservation agent at a large airline is 45 seconds. A…

A: Given the test is left tailed and p value = 0.002

Q: 4. The existing system for the production of a certain item has a mean of 50 seconds, and a standard…

A: Null Hypothesis: A hypothesis which is tested for plausible rejection is called the Null Hypothesis…

Q: 1. A policeman believes that less than 40% of older drivers speed on highways, but a confidential…

A: The hypotheses can be constructed as: H0: p1 = 0.40 H1: p1 ≠ 0.40 Given: Sample size (n) = 88 Out of…

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Q: A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2887…

A: As due to the honor-code, we are authorized to answer only 3 subparts for each question and that you…

Q: 1. The owner of a gas station which makes headlight inspections for the state is trying to decide…

A: Given data : sample size, n = 52 sample mean, x̄ = 16.7 sample standard…

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Q: 3. A production engineer claims that the time a trained worker should be able to assemble a certain…

A: The following information has been given: Hypothesized mean μ0=12. Sample mean x¯=12.75. Sample size…

Q: 1. A survey of National Capital Region finds the average commute time of employees on one way is 30…

A: 1. Step 1: Let μ be the population mean. The average commute time of employees on one way is 30…

Q: A report states that the mean yearly salary offer for students graduating with mathematics and…

A: One sample t-test: The one -sample t -test is used to determine whether the mean of sample differs…

Q: An airline is trying two new boarding procedures, Option 1 and Option 2, to load passengers onto…

A: Given: n1 = 235 X1 = 17.7 S1 = 5.1 n2 = 225 X2 = 18.3 S2 = 4.2 α = 0.05 Formula Used: Test-statistic…

Q: 2. Ms. Palac, a sociologist, made a study on the age in years of a woman at the time of her first…

A: Given: Village A: x¯1 = 18.63 and s1 = 5.54, n1=24 Village B: x¯2 = 24.90 and s1 = 5.54, n2=21…

Q: 4. The city manager has received complaints that local firefighters are underpaid. He gathers a…

A: Let X denotes salary of firefighter. The sample size is n=120.  Let μ denotes the average salary of…

Q: In an analysis investigating the usefulness of​ pennies, the cents portions of 104 randomly selected…

A: Given that  Sample size n =104 Sample mean =47.5 Sample standard deviation s=30.4 NOTE:- According…

Q: An airline is trying two new boarding procedures, Option 1 and Option 2, to load passengers onto…

A: There are two independent samples which are Option 1 and Option 2. We have to test whether the mean…

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.