Answered: A standardized exam's scores are…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

A standardized exam's scores are normally distributed. In a recent year, the mean test score was

21.1

and the standard deviation was

5.6

The test scores of four students selected at random are

and

Find the z-scores that correspond to each value and determine whether any of the values are unusual.

The z-score for

nothing

(Round to two decimal places as needed.)

The z-score for

nothing

(Round to two decimal places as needed.)

The z-score for

nothing

(Round to two decimal places as needed.)

The z-score for

nothing

(Round to two decimal places as needed.)

Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice.

The unusual value(s) is/are

nothing

(Use a comma to separate answers as needed.)

None of the values are unusual.

The weights of bags of baby carrots are normally distributed, with a mean of 34 ounces and a standard deviation of

0.36 ounce. Bags in the upper 4.5% are too heavy and must be repackaged. What is the most a bag of baby carrots can weigh and not need to be repackaged?

A bag of baby carrots can weigh at most

nothing

ounces without needing to be repackaged.

(Round to two decimal places as needed.)

A binomial probability is given. Write the probability in words. Then, use a continuity correction to convert the binomial probability to a normal distribution probability.
Р/x < 52)
Write the probability in words.
The probability of getting
V 52 successes.
Which of the following is the normal probability statement that corresponds to the binomial probability statement?
O A. P(x < 52.5)
О В. Р(х >51.5)
ОС. Р(x > 52.5)
O D. P(x <51.5)
O E. P(51.5 <x < 52.5)

Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution.
The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 103 pounds and a standard deviation of 38.1 pounds. Random samples of size 20 are drawn from this population and the mean of each sample is determined.
(Round to three decimal places as needed.)
Sketch a graph of the sampling distribution. Choose the correct graph below.
O A.
O B.
OC.
OD.
-300.5 8.5 317.5
86.0 103 120.0
94.5 8.5 111,5
77.4 103 128.6

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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