Do we have evidence to suggest that the true mean weight for all 36 oz boxes...

Do we have evidence to suggest that the true mean weight for all 36 oz boxes of cereal is different from 36 oz? A random sample of 30 boxes had mean of 38.2 oz with a standard deviation of 5.6 oz. What is the p-value?

Question 6 options:

	about 0.98
	about 0.02
	about 0.06
	about 0.04

Solutions

Expert Solution

solution

this is the two tailed test .

The null and alternative hypothesis is ,

H0 : = 36

Ha : 36

Test statistic = z

= ( - ) / / n

= (38.02- 36) / 5.6 / 30

= 2.02/1.02242

Z=1.98

P(z >1.98 ) = 1 - P(z <1.98 ) = 1-0.9761=0.02 ( using z table )

P-value = 0.02

orchestra answered 1 year ago

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