Question

A researcher proposes that if a product package is red, attitudes towards the product will be different than they are with the current blue package. Hence, he decides to conduct a test across two groups. He packages some products with his proposed red dominant packaging and some with the current blue package. He surveys 164 people about the red package and calculates that people respond 4.5 (on an interval scale of 1 to 5) about how much they like the product, with a standard deviation of .5. He surveys 164 people about the blue package and calculates that people respond 4.0 (on an interval scale of 1 to 5) about how much they like the product, with a standard deviation of .4. Is the red package more effective? Run an analysis at the .05 level of significance. (Z critical = ±1.96)

1. Please write your null hypothesis and alternative hypothesis.
2. Write down the type of test.
3. Please calculate an observed z-value for the test and compare it to the critical z-value.
4. Write down your conclusion in statistics and plain English

Thank you

Answer 1

Conclusion = Since. Z value is greater than 1.96 So, Reject Ho

Since , Z value is positive so, we can conclude that the Red one is more effective than the blue one