Question: the following 5 questions are based on this information a...
The following 5 questions are based on this information.
A sample of 25 cereal boxes of Granola Crunch, a generic brand of cereal, yields a mean (X¯X¯) weight of 1.02 pounds. The goal is to construct a 95% confidence interval for the mean weight (µ) of all cereal boxes of Granola Crunch.
Assume that the weight of cereal boxes is normally distributed with a population standard deviation (σ) of 0.03 pounds. Please show all work
The standard error (SE) of X¯X¯ is :
The critical value (CV) used for a 95% interval estimate is
The 95% confidence interval estimate of µ is
a. 1.02 ± 0.012
b. 1.02 ± 0.098
c. 1.02 ± 0.128
d. 1.02 ± 0.059
Suppose you think that average weight of a cereal box of Granola Crunch is 0.9 pounds. In light of the sample evidence and at the 5% level of significance,
a. Your claim is not statistically justified
b. Your claim is statistically justified
If we increase the confidence level (1-α) from 0.95 to 0.99, the margin of error (ME) of the confidence interval estimate will
b. stays the same
d. be zero