Question

# A manufacturer of banana chips would like to know whether its bag filling machine works correctly...

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 417 gram setting. Based on a 10 bag sample where the mean is 427 grams and the standard deviation is 17 , is there sufficient evidence at the 0.05 0.05 level that the bags are underfilled or overfilled? Assume the population distribution is approximately normal.

Step 1 of 5: State the null and alternative hypotheses.

2. test statistic

3. p-value

4. level of significance

5. Two tail or one tail

6. Sufficient or not

Solution :

1)

The null and alternative hypothesis is,

Ho: 417

Ha: 417

2)

The test statistics,

t =( - )/ (s /n)

= ( 427 - 417 ) / ( 17 / 10 )

= 1.86

3)

P-value = 0.0958

4)

P-value = 0.0958 > 0.05, Fail to reject the null hypothesis.

5)

This is a two tailed test.

6)

There is not sufficient evidence to claim that A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 417 gram setting.

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