Draw a normal distribution.
Q: Identify the values of m and s for the standard normal distribution.
A: Introduction A stand. normal dist. has a bell shaped curve.
Q: Assume that the scores of a college entry exam are normally distributed with a mean of 400 and a…
A: Given,mean(μ)=400standard deviation(σ)=60
Q: Derive mean and variance of gamma distribution.
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Q: Describe in brief the uniform distribution.
A: The uniform distribution is a probability distribution which is used when the outcomes are equally…
Q: A study was made to determine whether more Italians than Americans prefer white champagne to pink…
A: From the given information we conduct Z test for proportion.
Q: In the standard normal distribution, find the z value that corresponds to the 81st percentile.
A: Given, find z for 81th percentile
Q: What would a skewness of .163 mean? Is this normal distribution?
A: Solution: Skewness: Skewness can be defined as the lack of symmetry in the data set. In other…
Q: Come up with your own data for a problem that you would have to find a p-value for a normal…
A: Problem, A police inspector claim that the average number of FIR in his Police Station is 8 per…
Q: A mechanical component is subject to a load that has a mean value of 1500 N and a standard deviation…
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Q: For a perfectly symmetrical distribution with µ= 30, what is the median?
A: Given: for a Perfectly Symmetrical Distribution with µ = 30, To Find: median
Q: The standard deviation of a sampling distribution is smaller than the standard deviation of the…
A: The comparison of sd of sample to the sd of the population is as follows:
Q: If a sample is randomly collected, we can be assured that the data follows a normal distribution.…
A: We know that ; Any randomly collected data follows normal distribution if and only if data set must…
Q: Which of the following is true for a symmetrical normal distribution? a. Mean = median b. Median =…
A: The graph of normal distribution is:
Q: Find the sample size necessary for an 80% confidence level with a maximal margin of error E= 0.07…
A: Given that s.d =0.34,alpha =0.2,E =0.07 ( e) n= ?
Q: A mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed,…
A: Mean ()=29000standard deviation ()=2400
Q: For a normal distribution, the mean is equal to the median. True False
A: The Normal distribution is Symmetric distribution. So, Mean = Median = Mode.
Q: Identify if its true or false A normal distribution is symmetrical at the mean, i.e. the left side…
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Q: Calculate the z-score representing the top 30% of a normal distribution. (Use a table or technology.…
A: Z-score One can identify the proportion of the distribution beneath and above a raw score using the…
Q: In a left-skewed distribution, is median higher than mode? (A) True B False
A: Type of skewness: Symmetric: If the distribution is said to be symmetric then…
Q: Differentiate mean, variance and standard deviation b.Enumerate the properties of a standard normal…
A: Here we need to differentiate the measures of central tendency and dispersion. And also define to…
Q: Describe the characteristics of the "normal distribution". Name the two parameters (two numerical…
A: A normal distribution is a symmetric Bell shaped curve having mean , median and mode all equal to…
Q: A standard normal distribution has a mean of one and a standard deviation of three. True False
A: The standard normal distribution is a normal distribution with a mean of zero and standard deviation…
Q: true or flase. the chi-square distribution, just like the normal distribution, has two parameters,…
A: It is an important part of statistics. It is widely used.
Q: Find the 75th percentile of the standard normal distribution. (Round to three decimal places)
A: given data standard normal distribution Z~N(0,1) 75th percentile = ?
Q: Which is correct for a distribution that is skewed to the left?
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Q: a. Sketch a Norma l curve that has mean 30 and standar d deviaation
A: We have, Given that the mean 30 and standard deviation is 10, we have to sketch the normal curve.
Q: Describe the difference in shape between a gamma(shape = 5, rate= 10) distribution and a beta(shape…
A: Given:- γα=5,λ=10 and βa=10,b=5 we have to find mean,skew and interquartile range
Q: A mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed,…
A: The population mean is μ=25000. The population standard deviation is σ=2400. Let X be a random…
Q: The mean and mode of a Normal distribution is 65.7, Then the median of the distribution is a. 75.6…
A: The mean and median of normal distribution is 65.7.
Q: Nonparametric test is a design to counter the non-normal distribution type of data. O True
A: Nonparametric test: The nonparametric tests are used if the population distribution is not known.…
Q: II. Consider the data from two samples displayed in the two histograms: Sample A Sample B 30 30 25…
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Q: Identify if its true or false The mean, median and mode of normal distribution are NOT necessarily…
A: The normal distribution curve is bell-shaped and is symmetrical about the line x = μ. The mode of…
Q: Suppose that the walking step lengths of adults are normally distributed with a mean of 2.4 feet and…
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- What is a skewed distribution?Do college students enjoy playing sports just as much as watching sports? A researcher randomly selected ten college students and asked them to rate playing sports and watching sports on a scale from 1 to 10 with 1 meaning they have no interest and 10 meaning they absolutely love it. The results of the study are given below. Playing vs. Watching Sports Data Play Watch 4 1 2 1 1 1 2 1 7 5 8 1 1 3 6 4 3 3 1 1 Assume a Normal distribution. What can be concluded at the the a = 0.05 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer ✓ H₁: Select an answer ✓ Select an answer ✓ b. The test statistic ? ✓ = c. The p-value d. The p-value is ? ✓ a e. Based on this, we should f. Thus, the final conclusion is that ... = Select an answer ✓ (please enter a decimal) Select an answer (Please enter a decimal) (please show your answer to 3 decimal places.) (Please show your…High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge exam, students who score in the top 19 percent are recognized publicly for their achievement by the Department of Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be recognized?
- What are the two parameters that determine the shape of normal distribution? a. Median / Standard deviation b. Median / Interquartile range c. Mean / Standard deviation d. Mode / VariationIn a bell-shaped, normal distribution, a. mode = 0 b. median > mean c. median < mean d. median = meanCompany's salary is $50,000. Assume normal distribution with standard dev. being $6,000. Random sample of 30 workers, find these: Sample mean's salary is higher than $52,000. Sample mean's salary is lower than $48,000.
- "In a standard normal distribution, what is the mean? Options: A. -1 B. O C. 1 D. 2"The graph of the normal distribution resembles a "bell" curve. True SAMSUNG & False C $ % * 0A mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed, with a mean life of 26,000 miles and a standard deviation of 2400 miles. He wants to give a guarantee for free replacement of tires that don't wear well. How should he word his guarantee if he is willing to replace approximately 10% of the tires? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Tires that wear out by miles will be replaced free of charge. (Round to the nearest mile as needed.)
- In a recent poll, 45% of survey respondents said that, if they only had one child, they would prefer the child to be a boy. Suppose you conducted a survey of 160 randomly selected students on your campus and find that 79 of them would prefer a boy. Complete parts (a) and (b) below. Click here to view the standard normal distribution table (page 1). LOADING... Click here to view the standard normal distribution table (page 2). LOADING... (a) Use the normal approximation to the binomial to approximate the probability that, in a random sample of 160 students, at least 79 would prefer a boy, assuming the true percentage is 45%. The probability that at least 79 students would prefer a boy is 3636. (Round to four decimal places as needed.)You can tell if a distribution is normal because it is Approximately bell-shaped and symmetrical Skewed to the right or left Empirical and statistically significant Independent
