Let x denote the time it takes to run a road race. Suppose x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. If one runner is selected at random, what is the probability that this runner will complete this roa race in less than 177 minutes?

Q: At a toll-booth on-ramp there is a stochastic arrival distribution. Vehicles are counted in…

A: Given that vehicle are counted in 20 seconds intervals & vehicle count are taken in 120 of these…

Q: et x be a continuous random variable that has a normal distribution with μ = 48 and robability that…

A: The mean and standard deviation are 48 and 8, respectively.

Q: A company plans to develop new residentials in a suburban area of a city. The project would consists…

A: Hypothesis testing

Q: The number of seconds X after the minute that class ends is uniformly distributed between 0 and 60.…

A:

Q: 1. A factory has a machine that dispenses 80 mL of fluid in a bottle. An employee believes the…

A: It is given that: x¯ average dispensed amount in sample=78n sample size=40s sample SD=2.5μ0 claimed…

Q: analysis of the sample data revealed that the hippocampal volume is approximately normal with no…

A: Given data : sample size, n =24 sample mean, x̄ = 8.04 sample standard…

Q: The amount of calories in a small serving of French Fries at McDonalds is Normally distributed with…

A: The question is about central limit theorem Given : Popl. mean amount of calories ( μ ) = 230…

Q: 20. A team at a factory would like to monitor the number of defects in a TV screen. Twenty-five…

A: A team at a factory monitors the number of defects in a TV screen.

Q: Temperature in degrees Fahrenheit has been collected from a sample of 50 individuals. The mean is…

A: Given n=50, sample mean x̄=98.5,  standard deviations σx=3.2

Q: A student conducted a test to see if people preferred one of two possible new logos for UF, one with…

A: Confidence interval is a technique of estimation.

Q: (b) Construct a 90% confidence interval for o² if the sample size, n, is 30. The lower bound is…

A: The sample variance is 12.2 and the sample size is 30.

Q: 3. Classify the followi b. Number of credit h

A: Statement: The number of credit hours taken by a student this semester is discrete data.

Q: Do private practice doctors and hospital doctors have the same distribution of working hours?…

A: Given :   30-40 40-50 50-60 Total private practice 16 40 38 94 Hospital 8 44 59 111…

Q: 1. a. Two fair dice are rolled at once. Let X denote the difference in the number of dots that…

A: A discrete random variable is a variable whose values can be obtained by counting. Though, the…

Q: Which one of the following statements is true?

A: Estimation is an important in statistics.

Q: A researcher wants to know whether athletic women are more flexible than non-athletic women. For…

A: The following information has been given: Athletic Women: n1=50X¯1=5.0s1=1.4 Non-Athletic Women:…

Q: explain the use of z-test

A: Solution-: Explain the use of z-test?

Q: onsider the ff. data set, in which a maker of asphalt shin rticular year and factors that influence…

A: The given data is y x1 x2 x3 x4 291.9 9 56 5 10 160 4 42 8 4 339.4 6.5 73 5 16 159.6 5.5…

Q: The amount of pollutants that are found in waterways near large cities is normally distributed with…

A: GivenMean(x)=9standard deviation(σ)=1.7sample size(n)=7

Q: single factor design and an example of a factorial design. Provide the independent variable (IV)…

A: The basic principle of the Analysis of variance is to test the difference among the means of the…

Q: For item 1 to 3. Table 1.3 The following figures, released by the Federal Trade Commission, show the…

A: Given data is mg. of tar and nicotine content in 10 brands n=No. of observation=10 Let X: Tar…

Q: Q2. Find a)Mean, b) Coefficient of variation for the following data set considering the…

A: The objective is to find the mean and the coefficient of variation for the following dataset.…

Q: If the coefficient of correlation is 0.70, then the percentage of the variation in y that is…

A: The coefficient of correlation is 0.70   r=0.70 Then the coefficient of determination is…

Q: Please list the number next to the tallest person in the box below.

A: In the given question, the heights of four persons are measured and a random number between 1-4 is…

Q: An environmentalist wants to find out the fraction of all tankers that have spills each month..…

A: If x denotes the number of cases favorable to an event in a sample of size n, then the sample…

Q: Q1. Group the following data into a frequency distribution table with a suitable number of equal…

A: As per our guidelines, we have provided answer for first 3 sub-parts only.

Q: Need help with c,d and f

A:

Q: Differentiate parametric and non-parametric tests?

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Let x be a continuous random variable that has a normal distribution with μ = 48 and o = 8. Assuming…

A: The mean and standard deviation are 48 and 8, respectively.

Q: The Ed2 Ο 6.12 5.5 5.25 6 7 Ο

A: Given data is X Y 14 0.9 17 1.1 28 1.6 17 1.3 16 1.0 13 0.8 24 1.5 25 1.4 18…

Q: file is my ans for reference if needed (q

A: Age Listeners 13-20 4 21-28 8 29-36 10 37-44 12 45-52 9 53-60 7 The minimum Age of…

Q: When purchasing bulk orders of​ batteries, a toy manufacturer uses this acceptance sampling​ plan:…

A: Binomial distribution: The binomial distribution gives the probability of a number of successes out…

Q: The time spent waiting in line is approximately normally distributed with a mean waiting time is 6…

A: The time is normally distr. mean is 6 minutes and standard deviation is 3 minutes μ=6σ=3

Q: in 2021 Mulungushi University conducted a survey of its first year postgraduate students to collect…

A: Given data: p1=0.60p2=0.25p3=0.15  No regular exercises = 255 (wrongly print on question) Sporadic…

Q: A data set on Shark Attacks Worldwide posted on StatCrunch records data on all shark attacks in…

A: The given data indicates all the shark attacks in history. A surfer wants to learn if surfing during…

Q: A researcher collected data on how much extra sleep subjects got after being placed into one of two…

A: R code: Output:

Q: 4-If P (A U B) = 0.64 and Event A and B are mutually exclusive, which of the following could be…

A: 4. P(A∪B)=0.64The events A and B are mutually…

Q: A drug store claims that the mean delivery time for medicines is less than 120 minutes with a…

A: Givendrug store claims that the mean delivery time for medicines is less than 120 minutesstandard…

Q: A coworker says she needs to test 5000 subjects in order to have enough power to detect a…

A: Here for the above question, effect size is related with a sample size. As we know a test is…

Q: Researchers at a reputable university and a reputable health organization claim that approximately…

A: The sample size n is 85 and p=0.75.

Q: A group of students wrote an entrance Math exam and the scores were normally distributed. The mean…

A: The scores were normally distributed with mean 750 and standard deviation 95 μ=750σ=95 Z-score is…

Q: with a mean of µ = 70 and a standard deviation of σ = 10, what is the probability of obtaining a…

A: Given Data : Population Mean,μ = 70 Population Standard Deviation,σ = 10

Q: 4. The specification of the melting point of an alloy is 1200 degrees Celsius. If the melting point…

A: Formula : Test statistic

Q: 1. A company wanted to compare the performance of its call center employees in two different centers…

A: From the provided information

Q: Which of the following statements is true about the standard normal distribution (mean = 0, standard…

A: The mean is 0 and the standard deviation is 1.

Q: is the distribution of X? X-U(O ✓60 the sampling distribution is O O e that 40 classes are clocked.…

A: μx¯=30σx¯=2.7386

Q: A student wishes to determine the average life-span of a household light bulb. She randomly collects…

A: Given: A student wishes to determine the average life span of a household light bulb  Randomly…

Q: An environmentalist wants to find out the fraction of oil tankers that have spills each month.…

A:

Q: Discuss the advantages and disadvantages of each sampling techniques?

A: Solution-: Discuss the advantages and disadvantages of each sampling techniques?

Q: For the statement below, write the claim as a mathematical statement. Use proportions to state the…

A: From the given information, 67% of college students used student loans to pay for college.