In: Statistics and Probability
A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 427 gram setting. It is believed that the machine is underfilling the bags. A 49 bag sample had a mean of 421 grams. Assume the population standard deviation is known to be 16. A level of significance of 0.1 will be used.
Step 1 of 6: State the null and alternative hypotheses.
Step 2 of 6: Find the value of the test statistic. Round your answer to two decimal places.
Step 3 of 6: Specify if the test is one-tailed or two-tailed.
Step 4 of 6: Find the P P -value of the test statistic. Round your answer to four decimal places.
Step 5 of 6: Identify the level of significance for the hypothesis test.
Step 6 of 6: Make the decision to reject or fail to reject the null hypothesis.
Solution-:
Given :
Step 1 : Hypotheis: To test Vs
Step 2 : Under the test statistic is,
(Calculated value)
Step 3 : (This is two tailed test)
Step 4 : P-value:
By using MS-Excel command "=1-NORMDIST(2.63,0,1,TRUE())"
Step 5 : Level of significance (l.o.s.)
Step 6 : Here, hence reject at 10% l.o.s.
Conclusion: We conclude that the bag filling machine not work correctly at the 427 gram setting.