Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Use the p value method and fill in the blanks to address the claim.
A manufacturer makes ball bearings that are supposed to have a mean weight of 30g. A retailer suspects that the mean weight is actually less than 30g. The mean weight for a random sample of 16 ball bearings is 29.1g with a standard deviation of 4.4g. At the 0.05 significance level, test the claim that the sample comes from a population with a mean weight less than 30g.
Please answer the following with details and the calculator steps:
Claim: __________________________________
H0 H1
u0 x
Sx n
t p
Since p ___________ a, we _______________ the null hypothesis.
Final statement: _____________________________________________
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