Conduct hypothesis tests Problem 9-146 from the textbook An inspector of flow me

Question

Conduct hypothesis tests Problem 9-146 from the textbook An inspector of flow metering devices used to administer fluid intravenously will perform a hypothesis test to determine whether the mean flow rate is different from the flow rate setting of 200 milliliters per hour. Based on prior information, the standard deviation oft known and equal to 12 milliliters per hour. )What is being tested? 2) What is Ho? 3) What is H,? 4) What distribution would be used for the critical value and he flow rate is assumed to be test statistic?

Explanation / Answer

i) Mean flow rate of flow metering devices used to administer fluid intravenously
is being tested for its adherence to the setting of 200 milliliters per hour

ii) Null hypothesis is the standard or assumed value
Let be the mean flow rate being tested
Null hypothesis is
Ho : = 200

iii) Since we are testing if the mean flow rate is different from the setting,
it can be less than or greater than the setting
Hence alternative hypothesis is
H1 200

iv) Since the population standard deviation is known ( = 12 ml per hour)
we will use the Standard Normal Distribution (Z-distribution) for critical value and test statistic

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