The plant manager is concerned his equipment may need recalibrating. It seems that the actual weight of the 16-ounce cereal boxes it fills has been fluctuating. The standard deviation should be at most 0.43 ounces. To determine if the machine needs to be recalibrated, 68 randomly selected boxes of cereal from the next day's production were weighed with the following results (in ounces): 15.5, 15.8, 15.9, 15.9, 16.3, 15.4, 16.4, 15.9, 15.5, 16, 16.9, 16.7, 15.3, 16.2, 15.5, 15.8, 16, 16, 15.2, 15.3, 15.5, 15.9, 15.7, 15.3, 16.1, 16.3, 15.3, 17, 17.1, 15.9, 15, 15.9, 15.9, 17.2, 15.5, 15.9, 15.8, 16, 16, 15.7, 16.3, 15.1, 16, 15.8, 16, 16.4, 15.7, 15.8, 16.2, 15.9, 15.7, 16.1, 16.2, 15.9, 16.4, 16, 15.8, 15.5, 16.3, 15.8, 15.1, 16.1, 16.3, 16, 16.1, 16.6, 16.3, 16.3 Perform a hypothesis test using a 1% level of significance to test if the equipment needs to be recalibrated. Step 1: State the null and alternative hypotheses. Ho:o sv43 Ha:o >v 43 (So we will be performing a right-tailed vv test.) Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. Because we are testing the population standard deviation, we will use a x v degrees of freedom. distribution with 67 Part 3 of 4 Step 3: Find the p-value of the test statistic. Sample Mean: ¤ = Sample Standard Deviation: s = P(x ?v %3D n-value %3D
The plant manager is concerned his equipment may need recalibrating. It seems that the actual weight of the 16-ounce cereal boxes it fills has been fluctuating. The standard deviation should be at most 0.43 ounces. To determine if the machine needs to be recalibrated, 68 randomly selected boxes of cereal from the next day's production were weighed with the following results (in ounces): 15.5, 15.8, 15.9, 15.9, 16.3, 15.4, 16.4, 15.9, 15.5, 16, 16.9, 16.7, 15.3, 16.2, 15.5, 15.8, 16, 16, 15.2, 15.3, 15.5, 15.9, 15.7, 15.3, 16.1, 16.3, 15.3, 17, 17.1, 15.9, 15, 15.9, 15.9, 17.2, 15.5, 15.9, 15.8, 16, 16, 15.7, 16.3, 15.1, 16, 15.8, 16, 16.4, 15.7, 15.8, 16.2, 15.9, 15.7, 16.1, 16.2, 15.9, 16.4, 16, 15.8, 15.5, 16.3, 15.8, 15.1, 16.1, 16.3, 16, 16.1, 16.6, 16.3, 16.3 Perform a hypothesis test using a 1% level of significance to test if the equipment needs to be recalibrated. Step 1: State the null and alternative hypotheses. Ho:o sv43 Ha:o >v 43 (So we will be performing a right-tailed vv test.) Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. Because we are testing the population standard deviation, we will use a x v degrees of freedom. distribution with 67 Part 3 of 4 Step 3: Find the p-value of the test statistic. Sample Mean: ¤ = Sample Standard Deviation: s = P(x ?v %3D n-value %3D
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The plant manager is concerned his equipment may need recallibrating. It seems that the actual
weight of the 16-ounce cereal boxes it fills has been fluctuating. The standard deviation should be at
most 0.43 ounces. To determine if the machine needs to be recalibrated, 68 randomly selected
boxes of cereal from the next day's production were weighed with the following results (in ounces):
15.5, 15.8, 15.9, 15.9, 16.3, 15.4, 16.4, 15.9, 15.5, 16, 16.9, 16.7, 15.3, 16.2, 15.5, 15.8, 16, 16, 15.2,
15.3, 15.5, 15.9, 15.7, 15.3, 16.1, 16.3, 15.3, 17, 17.1, 15.9, 15, 15.9, 15.9, 17.2, 15.5, 15.9, 15.8, 16, 16,
15.7, 16.3, 15.1, 16, 15.8, 16, 16.4, 15.7, 15.8, 16.2, 15.9, 15.7, 16.1, 16.2, 15.9, 16.4, 16, 15.8, 15.5,
16.3, 15.8, 15.1, 16.1, 16.3, 16, 16.1, 16.6, 16.3, 16.3
Perform a hypothesis test using a 1% level of significance to test if the equipment needs to be
recalibrated.
Step 1: State the null and alternative hypotheses.
Ho:o sv 43
H:o >v 43
(So we will be performing a right-tailed
v test.)
Part 2 of 4
Step 2: Assuming the null hypothesis is true, determine the features of the distribution of
test statistics.
Because we are testing the population standard deviation, we will use a x?
distribution with 67
degrees of freedom.
Part 3 of 4
Step 3: Find the p-value of the test statistic.
Sample Mean: ¤ =
Sample Standard Deviation: s =
P(x ?
n-value
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