Answered: A coin-operated drink machine was…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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A coin-operated drink machine was designed to discharge a mean of

fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in

randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were

8.02

fluid ounces and

0.18

fluid ounces, respectively.

If we assume that the discharge amounts are approximately normally distributed, is there enough evidence, to conclude that the population mean discharge,

, differs from

fluid ounces? Use the

0.05

level of significance.

Perform a two-tailed test. Then complete the parts below.

Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)

(a)	State the null hypothesis H0 and the alternative hypothesis H1 .
H0:
H1:
(b)	Determine the type of test statistic to use.
	▼(Choose one)
(c)	Find the value of the test statistic. (Round to three or more decimal places.)

(d)	Find the p-value. (Round to three or more decimal places.)

(e)	Can we conclude that the mean discharge differs from 8 fluid ounces?
Yes No

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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