# Question: the following 5 questions are based on this information a...

###### Question details

**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 :

Select one:

a. 0.006

b. 0.002

c. 0.03

d. 1.02

The critical value (CV) used for a 95% interval estimate is

Select one:

a. 1.96

b. 1.64

c. 0.05

d. 0.025

Question 13

The 95% confidence interval estimate of µ is

Select one:

a. 1.02 ± 0.012

b. 1.02 ± 0.098

c. 1.02 ± 0.128

d. 1.02 ± 0.059

Question 14

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,

Select one:

a. Your claim is not statistically justified

b. Your claim is statistically justified

Question 15

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

Select one:

a. increase

b. stays the same

c. decrease

d. be zero