You are hired to inspect a flow metering device. You want to test whether the mean flow rate of the device is different from 150 ml/hr at a significance level of 0.05. It is known that the flow rate follows a normal distribution with a standard deviation of 12 ml/hr. The sample mean of 30 measurements is 156 ml/hr. (Reminder: show your work/justification for all answers.) a. The value of the test statistic is Round to 2 decimal places. b. Is this a two-sided or one-sided test? Write "two" or "one". c. Should your reject the null hypothesis? . Write "reject" or "not reject".
You are hired to inspect a flow metering device. You want to test whether the mean flow rate of the device is different from 150 ml/hr at a significance level of 0.05. It is known that the flow rate follows a normal distribution with a standard deviation of 12 ml/hr. The sample mean of 30 measurements is 156 ml/hr. (Reminder: show your work/justification for all answers.) a. The value of the test statistic is Round to 2 decimal places. b. Is this a two-sided or one-sided test? Write "two" or "one". c. Should your reject the null hypothesis? . Write "reject" or "not reject".
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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![You are hired to inspect a flow metering device. You want to test whether the mean
flow rate of the device is different from 150 ml/hr at a significance level of 0.05. It is
known that the flow rate follows a normal distribution with a standard deviation of 12
ml/hr. The sample mean of 30 measurements is 156 ml/hr. (Reminder: show your
work/justification for all answers.)
a. The value of the test statistic is
Round to 2 decimal places.
b. Is this a two-sided or one-sided test?
Write "two" or "one".
c. Should your reject the null hypothesis?
Write "reject" or "not
reject".
d. Find the probability of a type Il error if the true mean is 155 ml/hr.
Round to 2 decimal places.
e. Find the approximate sample size to detect the mean difference of at least 5 ml/hr
with 80% probability.
f. Does the probability of a type Il error increase or decrease as the sample size
increases?
Write "increase" or "decrease".](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6384ed42-3cb0-4532-b426-11a7c5ba4d6a%2F0c6d253e-70b9-4363-a02f-dfaa83ef0ab0%2Fi4lzer9_processed.png&w=3840&q=75)
Transcribed Image Text:You are hired to inspect a flow metering device. You want to test whether the mean
flow rate of the device is different from 150 ml/hr at a significance level of 0.05. It is
known that the flow rate follows a normal distribution with a standard deviation of 12
ml/hr. The sample mean of 30 measurements is 156 ml/hr. (Reminder: show your
work/justification for all answers.)
a. The value of the test statistic is
Round to 2 decimal places.
b. Is this a two-sided or one-sided test?
Write "two" or "one".
c. Should your reject the null hypothesis?
Write "reject" or "not
reject".
d. Find the probability of a type Il error if the true mean is 155 ml/hr.
Round to 2 decimal places.
e. Find the approximate sample size to detect the mean difference of at least 5 ml/hr
with 80% probability.
f. Does the probability of a type Il error increase or decrease as the sample size
increases?
Write "increase" or "decrease".
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