If a random sample is approximately normal, the helps describe how much/many of the data values lie within certain multiples of the standard deviation from the mean. O Central Limit Theorem O Empirical Rule O Chebyshev's Inequality O Range Rule of Thumb

Q: The manager of a grocery store has taken a random sample of 36 customers. The average length of time…

A: It is given that Sample size n = 36 Sample mean = 4.2 Population SD = 0.4

Q: CNNBC recently reported that the mean annual cost of auto insurance is 966 dollars. Assume the…

A: Given data: Mean = 966 Standard deviation  = 243 n = 87

Q: The    length    of    time    taken    on    the    SAT    for    a    group    of    students…

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Q: A normal distributed population has parameters mean=249 and standard deviation=39.8. If a random…

A: (A) The mean of the distribution of sample means is 249, which is obtained below: μx¯=μ=249

Q: Bob the Quality Control Engineer wishes to determine the mean time required to dry peppers. A sample…

A: The summary of statistics is, Critical values: The t-critical values for a one tailed test, for a…

Q: The plasticity of a polyethelene is affected the concentration of a solution. When low concentration…

A: The z score formula to find the difference between two means is defined by…

Q: The average income in a state was $73,000 per person per year. Suppose the standard deviation is…

A: The sampling distribution of a statistic is known as the probability distribution of all the…

Q: 90 mm Hg is considered to be hypertension. What percentage of women have​ hypertension? b. If we…

A: a) Given Data : Population Mean,μ = 70.1 Population Standard Deviation,σ = 9.8

Q: CNNBC recently reported that the mean annual cost of auto insurance is 1045 dollars. Assume the…

A: Given: μ = 1045 σ = 275 n = 100 Let X denote single randomly selected value. Thus, X~N(μ = 1045, σ =…

Q: Degress of freedom are used to correct for the fact that population standard deviation will always…

A: The population standard deviation is calculated on n observations and the sample standard deviation…

Q: The weight of cargo boxes that goes into a certain warehouse follows a normal distribution. A sample…

A: Central limit theorem: For the samples with mean μ and standard deviation σ, as sample size…

Q: An article reported that 8% of married couples in the United States are mixed racially or…

A: Given data: Probability that married couples in the United States are mixed racially or ethnically…

Q: To qualify for a police academy, candidates must score in the top 10% on a general abilities test.…

A: From the provided information, Mean (µ) = 200 Standard deviation (σ) = 20 X ~N (200, 20)

Q: CNBC recently reported that the mean annual cost of auto insurance is $970. Assume the standard…

A: We have given that. Sample size n=93 , mu=970 , sigma =241 X~N(mu, sigma^2) Z-score =(x-mu)/sigma…

Q: We wish to estimate the average number of heartbeats per minute for a certain population. The…

A: Given Information: Sample size (n) = 49 Sample mean (x¯) = 90 Population standard deviation (σ) = 10…

Q: A researcher makes a research about the life time of batteries which have a normal distribution. In…

A: A researcher randomly selected 49 batteries and calculate its sample mean as 48 hours and the…

Q: An instructor at a local community college noted that the grades of his students were normally…

A: The mean is 78 and the standard deviation is 10.

Q: The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a…

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Q: If a variable has a distribution that is bell-shaped with mean 22 and standard deviation 6, then…

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Q: The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a…

A: Given: The overhead reach distances of adult females are normally distributed with a mean of 200 cm…

Q: CNNBC recently reported that the mean annual cost of auto insurance is 977 dollars. Assume the…

A: Let X be the random variable from normal distribution with mean (μ) = 977 dollars, standard…

Q: A hypothesis regarding newborn infants' weight at a community hospital is that the mean is 5 pounds.…

A: From the given information, Sample size n =57 Sample mean, x̅ = 7 Sample standard deviation, s=7.…

Q: Majesty Video Production Inc. wants the mean length of its advertisements to be 30 seconds. Assume…

A: Given: Mean = 30 Standard deviation = 2 n = 16

Q: ou may believe that each day, married and unmarried women spend the same amount of time per week…

A: Given Information: Sample size (n1) = 45 Sample mean (x¯1) = 3.0 Population standard deviation (σ1)…

Q: a random variable is not normally distributed but it is mound shaped. It has a mean of 14 and a…

A: Points on sampling distribution of the sample mean: If the true population distribution of a random…

Q: A population of values has an unknown distribution with 40.1 and o 71.1. You intend to draw a random…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: Suppose that the efficacy of a certain drug is 0.57. Consider the sampling distribution (sample size…

A: From the given information, Consider,  p= Proportion of efficacy of a certain drug.  p=0.57n=101…

Q: We know that the number of books owned by the population of Gonzaga University students follows a…

A: Let X, be the continuous random variable and it follows the normal distribution with mean μ and…

Q: A random variable is normally distributed with mean 14.2 and standard deviation 18.4. What value is…

A: According to the provided information, mean μ=14.2standard deviation σ=18.4z-score = 3

Q: The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a…

A: Normal distribution- Normal distribution is a continuous distribution of data that has the bell…

Q: is used for testing hypothesis when the population standard deviation is known and the sample size…

A: Here's, sample size is given 30 and population standard deviation is known.

Q: If a population has a mean of 53.3 and a standard deviation of 41. Consider a sampling distribution…

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Q: What is the probability of a homeless having a score above 25? Trauma scores among population of…

A: We have given that.   X~N( μ , ?^2 )   μ =26.8 , ? =7.4   Z-score =( x - μ )/?

Q: 1In a sample of 105 people 54 were in favor of a zoning change. What are the mean and standard…

A: Answer - In a sample  n = 105, people (x) = 54 were in favor of a zoning change.      What are the…

Q: A large population of 5,000 students take a practice test to prepare for a standardized test. The…

A: From the provided information, the population mean (µ) is 140 and the standard deviation (σ) is 80.…

Q: p(x>105)

A: Here it is given that = Mean (μ) = 100Standard Deviation (σ) = 12 Let X be a random variable which…

Q: he ages of a group of 120 randomly selected adult females have a standard deviation of 18.4 years.…

A: Given that, Critical values: Using the z-table, the critical value at 99% confidence level is

Q: A manufacturer claims that a certain brand of cold tablets contains an average 600 mg of…

A: here we have x =631.7˙s =62.3n=32 hypothesis  H0 : μ =600H1 : μ ≠600

Q: A random variable is normally distributed with mean 84.2 and standard deviation 17.5. What value is…

A: Solution: Let X be the random variable. From the given information, X follows normal distribution…

Q: A manufacturer claims that a certain brand of cold tablets contains an average 600 mg of…

A: Given: μ=600x¯=631.7s=62.3α = 0.01n=32 We will use the single sample t-test for mean. The evidence…

Q: ski gondola in Vail, Colorado, carries skiers to the top of a mountain. It bears a plaque stating…

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Q: The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a…

A: Given,mean(μ)=200standard deviation(σ)=8sample size (n)=20

Q: Anelectrical fimmanufactures light bulbs that have a length of life that is approximately nommally…

A: Given data,σ=40E=10Z value at 96% confidence is Zc=2.05n=?

Q: There are 8,000 students at the School of Management, UT Dallas. The average age of all the students…

A: The sampling distribution of these x̅ values has expected value or mean, μM = μ and standard…

Q: A ski gondola in Vail, Colorado, carries skiers to the top of a mountain. It bears a plaque stating…

A: Solution: Let X be the weights of men are normally distributed with a mean oμ= 182.9 lb and a…

Q: # 2 Desert Samaritan Hospital in Mesa, Arizona, keeps records of emergency room traffic. Those…

A: According to the provided information, the time between arriving patients are distributed with.Mean…

Q: . A sociologist is studying the ages of “death-row” inmates. She obtains a random sample of 33…

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Q: A questionnaire is developed to assess women's and men's attitudes toward using animals in research.…

A: The mean of the sampling distribution of the sample means is nothing but the sample mean. Therefore,…

Q: A random variable that is normally distributed where mean = 60, standard deviation = 2 and x=55.…

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Q: The average age of construction workers is 32 years with a standard deviation of 5 years. If a…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.