Question

A restaurant owner installed a new automated drink machine. The machine is designed to dispense 530 mLof liquid on the medium size setting. The owner suspects that the machine may be dispensing too much in medium drinks. They decide to take a sample of 30 medium drinks to see if the average amount is significantly greater than 530 mL.
What are appropriate hypotheses for their significance test?

a.H0: μ =530mL vs. Ha: μ > 530mL
b.H0: μ = 530mL vs. Ha: μ < 530mL
c.H0: p = 530mL vs. Ha:p > 530mL
d.H0: p = 530mL vs. Ha: p < 530mL

Answer 1

Answer:

a.H0: μ =530mL vs. Ha: μ > 530mL

Step-by-step explanation:

-A hypothesis test will be used to provide evidence that the median is more or equal to the stated median value.

#In a normally distributed population, the mean=mode=median:

$Mean=Mode=Median=\mu$

-The null hypothesis states that the median is equal to the stated value:

$H_o:\mu=530 \ mL$

-The alternative hypothesis provides evidence that the median value is greater than the stated value:

$H_a:\mu>530\ mL$

Hence, the correct hypotheses are H0: μ =530mL vs. Ha: μ > 530mL