A)What is the z-score of
x = 4,
if it is 1.9 standard deviations to the left of the mean? (Enter
an exact number as an integer, fraction, or decimal.)
z =
B) What is the z-score of
x = 5,
if it is 0.166 standard deviations to the left of the mean?
(Enter an exact number as an integer, fraction, or decimal.)
z =
C) Suppose
X ~ N(12, 1).
What value of x has a z-score of −2.25? (Enter
an exact number as an integer, fraction, or decimal.)
x =
D) Suppose
X ~ N(−1, 4).
What is the z-score of
x = 10?
(Enter an exact number as an integer, fraction, or
decimal.)
z =
E) Suppose
X ~ N(4, 1).
What is the z-score of
x = 4?
(Enter an exact number as an integer, fraction, or
decimal.)
z =
F) Suppose a normal distribution has a mean of seven and a standard deviation of 1.75. What is the z-score of
x = 5.5?
(Round your answer to two decimal places.)
z =
A)What is the z-score of x = 4, if it is 1.9 standard deviations to the...
Suppose X ~ N(4, 2). What value of x is two standard deviations to the right of the mean? (Enter an exact number as an integer, fraction, or decimal.)
Suppose X ~ N(4, 3). What is the z-score of x = 4? (Enter an exact number as an integer, fraction, or decimal.) z =
Suppose X ~ N(3, 2). What value of x is two standard deviations to the right of the mean? (Enter an exact number as an integer, fraction, or decimal.) x =
24. About what percent of the x values from a normal distribution lie within two standard deviations (left and right) of the mean of that distribution? (Enter an exact number as an integer, fraction, or decimal.) _______ % 25. About what percent of x values lie between the mean and one standard deviation (one sided)? (Enter an exact number as an integer, fraction, or decimal.) _______ % 26. About what percent of x values lie between the first and third standard deviations (both sides)?...
Suppose X ~ N(8, 1). What value of x has a z-score of −1.25? (Enter an exact number as an integer, fraction, or decimal.) x=
1.Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 101; σ = 16 P(x ≥ 120) = 2.Suppose X ~ N(5, 9). What is the z-score of x = 5? (Enter an exact number as an integer, fraction, or decimal.) z =
Suppose X∼N(8,1.5), and x=5. Find and interpret the z-score of the standardized normal random variable. The z-score when x=5 is . The mean is ____ . This z-score tells you that x=5 is _____ standard deviations to the left of the mean.
Suppose that student’s z score is 3.00 what does this mean? discuss in terms of units of standard deviation It means the value defined by z-score is 3 standard deviations away from the mean value. Discuss in terms of its percentile score. In terms of percentile score, its mean amount of data lies below the value. Z=3 represent the 99.87 the percentile. 4. How does this student’s z score differ from another student whose z score is -3.00 5. If...
Suppose X~N(4, 2). a) What value of x is 1.5 standard deviations to the left of the mean? b) What is the 90th percentile of X? Express your answers with 3 decimals.
In a normal distribution, the mean corresponds to: Standard Score: z = Percentile: Which of the following statements are TRUE about the normal distribution? Check all that apply. A data value with z-score = -1.5 is located 1.5 standard deviations below the mean. The mean corresponds to the z-score of 1. The Empirical Rule only applies when a value is exactly 1, 2, or 3 standard deviations away from the mean. A z-score is the number of standard deviations a...