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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