Respond to the following in a minimum of 175 words:
Imagine you are a product manager at Chips Amor Cookie Company and you want to test how accurate the claim is that your cookies have more chocolate chips than the those produced by a local grocery store brand.
To do this, you gather a team of consumers to compare the cookies. You give each participant a Chips Amor cookie in a bag labeled A and a local grocery store brand cookie in a bag labeled B. They are asked to count the number of chocolate chips in the Chips Amor cookie and to count the number of chocolate chips in the local grocery store brand. You have 30 participants.
What parameters would they be comparing?
How can you write a null hypothesis and an alternative hypothesis?
What are the populations from which the samples came?
Based on your hypothesis, is this a one-tailed or two-tailed test?
Write a null hypothesis and a research hypothesis:
So, are the samples of cookies random?
Are the two samples independent of each other?
Sample Answer
As a product manager at Chips Amor Cookie Company, aiming to test the claim of more chocolate chips than a local grocery store brand, here's how we'd approach the study:
Parameters for Comparison
The primary parameter the participants would be comparing is the number of chocolate chips in each cookie. They are specifically tasked with counting this numerical value for both the Chips Amor cookie (Bag A) and the local grocery store brand cookie (Bag B).
Null and Alternative Hypotheses
Null Hypothesis (H0): There is no significant difference in the average number of chocolate chips between Chips Amor cookies and the local grocery store brand cookies. In other words, the mean number of chocolate chips in Chips Amor cookies is equal to or less than the mean number of chocolate chips in the local grocery store brand cookies. Mathematically: μChips Amor≤μGrocery Store Brand.
Alternative Hypothesis (H1): Chips Amor cookies have a significantly greater average number of chocolate chips than the local grocery store brand cookies. Mathematically: μChips Amor>μGrocery Store Brand.