Question

1. kelloggs claimed their frosted mini wheats improved childrens attentiveness by 20%. however, a randomized experiment showed that the interval for the true improvement in attentiveness was 4% to 14%. a. does the calculated interval support or refute the claim made by kelloggs? explain. b. what could the researcher do in future studies to decrease the margin of error of the estimate?

Explanation:

Step1: Analyze the claim and interval

Kellogg's claims 20% improvement. Interval is 4% - 14%.

Step2: Check if claim is in interval

20% is not in the 4% - 14% interval.

Step3: Recall margin - of - error factors

Margin of error is related to sample size and variability.

Step4: Determine ways to decrease margin of error

Increasing sample size and reducing variability decrease margin of error.

Answer:

a. The calculated interval refutes the claim made by Kellogg's because 20% is not within the 4% to 14% interval for the true improvement in attentiveness.
b. The researcher could increase the sample size and reduce the variability in the data in future studies to decrease the margin of error of the estimate.