No matter what the mean and standard deviation is for a normal distribution, if we take one standard deviation away from the mean (below and above) this covers approximately 68%. True False

Q: A normal distribution has a mean of 50 and standard deviation of 5. For each of the following…

A: From the provided information, Mean (µ) = 50 Standard deviation (σ) = 5 X~N (50, 5)

Q: A normal distribution has a mean of 20 and a standard deviation of 4. Determine the z-score for the…

A: Given that a normal distribution has a mean of 20 and a standard deviation of 4.  We need to…

Q: The mean of a normal distribution has no effect on its spread.

A: It is a basic fact of central tendency. It is very useful in statistics.

Q: 9. A psychologist wants to estimate the proportion of people in a population with IQ scores between…

A: Let X be the IQ scores of people. The population mean  μ=110  And population standard deviation…

Q: Could the graph represent a variable with normal distribution? If so, what is the mean and what is…

A:

Q: Suppose you have a normal distribution with a mean of 10 and a standard deviation of 2.…

A: According to the given information, we have Given that the normal distribution with a mean of 10 and…

Q: IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the IQ…

A: Excel formula: =NORMINV(0.305,0,1)=-0.5100

Q: In an Algebra class, the scores on a test are normally distributed. The middle 68% of the scores…

A:

Q: The daily high temperature for the month of August in Chicago is normally distributed with a mean of…

A: Let X be the high temperature for the month of August in Chicago is normally distributed with a mean…

Q: A normal distribution of scores has a mean of 72 and a standard deviation of 11.  Find the z-scores…

A: Problem 1:Given:μ = mean = 72σ = standard deviation = 11 We can solve for z-scores using this…

Q: A recent study explores the relationship between teacher unions and student educational performance…

A: Given that, A recent study explores the relationship between teacher unions and student educational…

Q: The average life expectancy for women in Australia calculates out at 89 years and the standard…

A: given mean=89standard deviation 8.2

Q: A set of date has a normal distribution with a mean of 100 and a standard deviation of 15. Find the…

A:

Q: Mean and standard deviation of a distribution are 16 and 2 respectively. At least what percent of…

A:

Q: A mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed,…

A: Given: μ = 36000 miles  σ = 2700 miles Formula Used: Z-score = X-μσ

Q: which in the picture is an estimator for the population mean µ?

A:

Q: In an Algebra class, the scores on a test are normally distributed. The middle 68% of the scores…

A: According to Empirical rule (68-95-99.7 rule) Given that the middle 68% of the scores fall…

Q: Suppose you have a normal distribution with mean 110 and standard deviation 15. Approximately what…

A: Given that  Mean = M = 110 , Standard deviation = SD = 15 X ~ Normal (M = 110 , SD = 15)

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: Consider the following frequency distribution, known as standard normal. As a wildlife scientist you…

A: Given that, The random variable X is the pollutant concentration of oysters in Oyster Bay. It is…

Q: It is often quoted that in a normal distribution, 95% of the data lies 1.96 deviations either side…

A: Let X be the random variable   X~ Normal (0, 1)

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: The annual income for a sample of 450 part-time students is normally distributed with a mean income…

A: Given that: Population mean, μ=31000 Population standard deviation, σ=3000 Sample size, n=450

Q: in how you determined your findings. How many children scored lower than Emily? How many children…

A: The standard normal variate of the normal distribution is continuous and follows that z~N(0,1). The…

Q: the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean?

A:

Q: The following graph shows that the normal distribution A has greater variability than the normal…

A: Solution Z be standard normal variate with mean 0 and sd 1

Q: < Area Under a Normal Distribution Bin... THE SCORES OF A SCIENCE TEST HAD AN AVERAGE OF 78 AND A…

A: GivenMean=78standard deviation(σ)=3

Q: A nutritionist wrote the following summary statement for a research study: Students who major in…

A: Given that: Mean, M=4 Standard deviation, SD=1.5

Q: A population is normally distributed with a mean of 20.  What is the population standard deviation…

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Q: Which statement about the normal distribution is false? Approximately 68 % of the data lie within 1…

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Q: ASK YOUR TEACHER   A normal distribution has a mean of 85.3 and a standard deviation of 4.84. Find…

A: