Heinz, a manufacturer of ketchup, uses a particular machine to dispense 16 ounces of its ketchup into containers. From many years of experience with the particular dispensing machine, Heinz knows the amount of product in each container follows a normal distribution with a mean of 16 ounces and a standard deviation of 0.15 ounce. A sample of 50 containers filled last hour revealed the mean amount per container was 16.017 ounces. Does this evidence suggest that the mean amount dispensed is different Self-Review 10-1 HEINE from 16 ounces? Use the 05 significance level. (a) State the null hypothesis and the alternate hypothesis. (b) What is the probability of a Type I error?
Heinz, a manufacturer of ketchup, uses a particular machine to dispense 16 ounces of its ketchup into containers. From many years of experience with the particular dispensing machine, Heinz knows the amount of product in each container follows a normal distribution with a mean of 16 ounces and a standard deviation of 0.15 ounce. A sample of 50 containers filled last hour revealed the mean amount per container was 16.017 ounces. Does this evidence suggest that the mean amount dispensed is different Self-Review 10-1 HEINE from 16 ounces? Use the 05 significance level. (a) State the null hypothesis and the alternate hypothesis. (b) What is the probability of a Type I error?
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
Problem 20E
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Transcribed Image Text:Self-Review 10-1
Heinz, a manufacturer of ketchup, uses a
particular machine to dispense 16 ounces
of its ketchup into containers. From many
years of experience with the particular
dispensing machine, Heinz knows the
amount of product in each container
follows a normal distribution with a mean
of 16 ounces and a standard deviation
HEINZ
TOMATO
KETCHUP
of 0.15 ounce. A sample of 50 containers
filled last hour revealed the mean amount
per container was 16.017 ounces.
Does this evidence suggest that the
mean amount dispensed is different
from 16 ounces? Use the .05 significance level.
(a) State the null hypothesis and the alternate hypothesis.
(b) What is the probability of a Type I error?
(c) Give the formula for the test statistic.
(d) State the decision rule.
(e) Determine the value of the test statistic.
(f) What is your decision regarding the null hypothesis?
(g) Interpret, in a single sentence, the result of the statistical test.
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