Question

Before finalizing the design of a keyboard, an electronics company decided to conduct an experiment to see the effect of two design choices (backlight: red vs. blue; product weight: heavy vs. light) on customers' attitude towards the product (measured on a scale of 1 to 7). Run the appropriate statistical test and at .05 level identify whether these design choices have an effect on consumers' attitude towards the product. Identify if there is a significant interaction effect (at .05 level).
	blue	red
heavy	1	7
	7	7
	5	6
	5	7
	5	7
	1	7
	3	7
	7	6
	3	7
	7	6
	2	7
	3	4
	1	6
	7	6
	7	7
	4	7
	5	5
	5	6
	4	5
	5	6
light	7	6
	7	7
	5	4
	7	6
	5	7
	5	6
	5	3
	4	4
	6	3
	7	4
	5	6
	6	3
	6	7
	5	7
	6	4
	5	6
	5	7
	7	5
	5	7
	4	4

Answer 1

The ANOVA table is:

Source	SS	df	MS	F	p-value
Factor 1	0.31	1	0.313	0.15	.7009
Factor 2	13.61	1	13.613	6.48	.0130
Interaction	25.31	1	25.313	12.04	.0009
Error	159.75	76	2.102
Total	198.99	79

The hypothesis being tested is:

H₀: There is no main effect of product weight on customers' attitude towards the product

H_a: There is a main effect of product weight on customers' attitude towards the product

The p-value is 0.7009.

Since the p-value (0.7009) is greater than the significance level (0.05), we cannot reject the null hypothesis.

Therefore, we cannot conclude that there is a main effect of product weight on customers' attitudes towards the product.

The hypothesis being tested is:

H₀: There is no main effect of backlight on customers' attitude towards the product

H_a: There is a main effect of backlight on customers' attitude towards the product

The p-value is 0.0130.

Since the p-value (0.0130) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that there is a main effect of backlight on customers' attitudes towards the product.

The hypothesis being tested is:

H₀: There is no significant interaction effect

H_a: There is a significant interaction effect

The p-value is 0.0009.

Since the p-value (0.0009) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that there is a significant interaction effect.