Question

Susie works at a helium balloon shop. A machine fills the balloons and it is suppose to put exactly 17 cubic centimeters of helium in each balloon with a population standard deviation of 3 cubic centimeters. Susie believes the machine is not working correctly so she calls a meeting. At the meeting she claims the machine needs to be shut down because she took a random sample of 16 balloons and found the mean amount of helium to be 16 cubic centimeters. Is Susie correct? Present evidence to support your answer. (4 points)

Answer 1

H0: Null Hypothesis: = 17 ( the machine is working correctly)

HA: Alternative Hypothesis: 17 ( the machine is not working correctly) (claim)

SE = /

= 3/

= 0.75

test Statistic is given by:
Z = (16 - 17)/0.75

- 1.3333

Take = 0.05

From Table, critical values of Z = 1.96

Since Calculated value of Z = - 1.3333 is greater than critical valu of Z = - 1.96, the difference is not significant. Failto reject null hypothesis.

Conclusion:
The data do not support the claim that the machine is not working correctly.

So,

Susi is not correct.