A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 438 gram setting. It is believed that the machine is underfilling the bags. A 21 bag sample had a mean of 435 grams with a standard deviation of 25. Assume the population is normally distributed. A level of significance of 0.02 will be used. Specify the type of hypothesis test.

a. Left-Tailed Test
b. Right-Tailed Test
c. Two-Tailed Test

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JeanaShupp JeanaShupp · Answer 1 · 2019-12-15T04:10:06+01:00

Answer: a. Left-Tailed Test

Step-by-step explanation:

The type of hypothesis test is depended on the alternative hypothesis for the objective made by the researcher .

By considering the given information,

The objective for the study : Whether machine is filling 438 grams or under filling.

i.e. either [tex]\mu=438[/tex] or [tex]\mu<438[/tex] , where [tex]\mu[/tex] is the population mean .

Since alternative hypothesis consist "<" sign.

So our alternative hypothesis here =[tex]H_a:\mu<438[/tex]

Since the alternative hypothesis is left -tailed [tail is on left -side] , it means we have to perform a Left-Tailed Test.

Hence, the correct answer is a. Left-Tailed Test .