Answered: Question 1 Suppose a waitress keeps…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question 1

Suppose a waitress keeps track of her tips, as a percentage of the bill, for a random sample of 60 tables.

Suppose that, unknown to the waitress, her population mean tip percentage is 14%, with a standard deviation of 3%.

c. Describe the sampling distribution of her sample mean tip percentage. Round to 3 decimal places, when necessary.

The sampling distribution has a mean of ___% and a standard deviation of ___%

Answer for blank # 1:	14
Answer for blank # 2:	0.387

d. Between what two values is there a 68% chance that her sample mean tip percentage will fall? Enter your answers in increasing order, rounded to two decimal places.

There is a 68% chance that her sample mean tip percentage will fall between ___% and ___%

Answer for blank # 1:
Answer for blank # 2

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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