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".

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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".
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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