OC. The graph could not represent a variable with a normal distribution because the curve has two modes. O D. The graph could not represent a variable with a normal distribution because the curve crosses the x-axis E. The graph could represent a variable with a normal distribution because the curve is symmetric and bell-shaped. Its mean is approximately 44, and its standard deviation is approximately 32 (Round to one decimal place as needed.)

Find mean and standard deviation for each uniform continuous model Mean place and deviation answers to 4 decimal places Standard deviation A.(3, 13); B.(90, 190); C.(3,99)

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

The Z-score tells you the number of standard deviations away from the mean (and in what X-μ can be used to find the Z-score for a direction) a data value is. The formula: Z single member of the population. Notice X - μ tells you the signed distance the data value (X) is from the mean. When you divide that by the size of each chunk (the standard deviation) you are measuring the distance in units of the size of the standard deviations (how many standard deviations fit in the distance between the data value and the mean) - which gives you the Z-score. The formula X = μ+Z-o can be used to find the value in the population when given the Z-score (signed number of standard deviations). Notice that Z. tells you how far from the mean the data value is (since Z is the number of standard deviations and o is the size of each standard deviation the product tells the total distance). So adding the distance from the mean to the mean gives the location along the number line for the data value. A…

TF.10 The diameter X in inches of a certain brand of tennis balls has normal distribution with mean μ = 2.65 and standard deviation σ = .018. Acceptable balls have diameters between 2.62 and 2.68 inches. a) What proportion of tennis balls of this brand are acceptable? b) Find P(X < 2.60)

3) The average rent for a condo/duplex listed in the Sacramento News & Review “Classified" ads in December, 2003 is $882 and the standard deviation is $204 per month. Let Y be the monthly rent for a condo/duplex in the Sacramento area. a. Sketch the curve and find P(Y < $600) b. Sketch the curve and find P(S600 < Y < $800).

The mean for statistics test scores is 61 and the standard deviation is 6.0. For the biology test scores, the mean is 22 and the standard devaton is 3.7. The tent scores of stutent who took boh tests are ven belw A student gets a 74 on the statistics test and a 24 on the biology test. (a) Tranaform each test score to a z-Bcore. (b) Determine on which test the student had a better score (a) Transform the statistios test soore to a z-acore. (Type an integer or decimal rounded to the nearest hundredth as needed.)

c. Identify the mean and standard deviation of x. Choose the correct answer below. A. µ and Vn О В. н апd o and and o d. Does your answer to part (c) depend on the assumption that the variable under consideration is normally distributed? Why or why not? O A. No, for any variable, the mean of x is at least approximately equal to u, and the standard deviation of x exactly equals Vn В. Yes, for some distributions of x, the mean of x is and for other distributions of x, the standard deviation of x is o. O C. Yes, if the distribution of x is skewed, the mean of x will be different from µ in the direction that the distribution of x is skewed. D. No, for any variable, the mean of x equals µ, and the standard deviation of x is at least approximately equal to Vn

Find the mean and the standard deviation for each uniform continuous model. Round mean answers to 1 decimal place and standard deviation 4 decimal places. 1. mean u (2,10), standard deviation? 2 mean U (80, 250) Standard Deviation? 3. Mes U(1,93) Standard Dev?

Suppose the mean of Z is 2. What is the mean of Y if a = 1.22 and Y=aZ?  (Use two decimal places, ex: 12.34)