Question

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.

Answer 1

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.