A laboratory wants to acquire a new centrifugal pump for ammonia. Thespecification indicates that the flow rate be more than 5 gallons perminute (gpm). In a preliminary study, 8 runs were made. The averageflow rate was 6.5 gpm and the standard deviation was 1.9 gpm. If themean flow rate is found to meet the specification, the pump will be putinto service. If the null hypothesis is set to H0 : μ=5 gpm, what is the mostappropriate alternative? What is the calculated statisticfor this problem? What is the critical value forα =0 . 05 and would we reject the null hypothesis?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A laboratory wants to acquire a new centrifugal pump for ammonia. The
specification indicates that the flow rate be more than 5 gallons per
minute (gpm). In a preliminary study, 8 runs were made. The average
flow rate was 6.5 gpm and the standard deviation was 1.9 gpm. If the
mean flow rate is found to meet the specification, the pump will be put
into service. If the null hypothesis is set to H0 : μ=5 gpm, what is the most
appropriate alternative? What is the calculated statistic
for this problem? What is the critical value for
α =0 . 05 and would we reject the null hypothesis? 

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