A coin-operated drink machine was designed to discharge a mean of 8 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 11 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 7.82 fluid ounces and 0.21 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, μ, differs from 8 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 pull hypothesis H. and the alternative hypothesis H
A coin-operated drink machine was designed to discharge a mean of 8 fluid ounces of coffee per cup. In a test of the machine, the discharge amounts in 11 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 7.82 fluid ounces and 0.21 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, μ, differs from 8 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 pull hypothesis H. and the alternative hypothesis H
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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Transcribed Image Text:A coin-operated drink machine was designed to discharge a mean of 8 fluid ounces of coffee per cup. In a
test of the machine, the discharge amounts in 11 randomly chosen cups of coffee from the machine were
recorded. The sample mean and sample standard deviation were 7.82 fluid ounces and 0.21 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, u, differs from 8 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 and the alternative hypothesis H₁.
HO
H₁ :0
(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.)
0
(d) Find the p-value. (Round to three or more decimal places.)
0
(e) Can we conclude that the mean discharge differs from 8 fluid ounces?
OYes ONO
3
X
4
#0
a
0=0 OSO
X
S
O<O
Р
<Q
olo
ロミロ
□<口
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