6. An automatic Coffee dispenser is advertised to pour μ-16 oz of coffee with a standard deviation of 6-0.1 oz. An unsatisfied customer wants to know if the automatic Coffee dispenser pours less than 16 oz on average. A random sample of n=49 cups of coffee is taken and is found to have a sample mean x = 15.96 oz. Use a a-5% level of significance to test if the population mean u is less than 16 oz. a) State the null and alternate hypothesis.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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6. An automatic Coffee
dispenser is advertised to
pour u=16 oz of coffee
with a standard
deviation of o-0.1 oz.
An unsatisfied customer
wants to know if the
automatic Coffee
dispenser pours less than
16 oz on average. A
random sample of n=49
cups of coffee is taken
and is found to have a
sample mean x = 15.96
oz. Use a a-5% level of
significance to test if the
population mean u is
less than 16 oz.
a) State the null and
alternate hypothesis.
b) Find the test statistic
(either z or t).
c) Find the p-value or
sketch the critical
region.
d) State whether you
will reject or fail to
reject the null
Transcribed Image Text:6. An automatic Coffee dispenser is advertised to pour u=16 oz of coffee with a standard deviation of o-0.1 oz. An unsatisfied customer wants to know if the automatic Coffee dispenser pours less than 16 oz on average. A random sample of n=49 cups of coffee is taken and is found to have a sample mean x = 15.96 oz. Use a a-5% level of significance to test if the population mean u is less than 16 oz. a) State the null and alternate hypothesis. b) Find the test statistic (either z or t). c) Find the p-value or sketch the critical region. d) State whether you will reject or fail to reject the null
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