In: Statistics and Probability
Scenario A
A company sent 83 salespersons to a sales training course. The company wants to know if their sales performance has improved or is unchanged based on the training course.
Scenario B
A company introduces a new product and wants to find out if males or females will be more likely to purchase it. The company will survey 100 males and 100 females.
Scenario C
A company manufactures laptop computers in two different plants and wants to know if the battery life is the same for laptops from both facilities. There are samples of 55 laptops from each plant.
Other Requirements
Your paper should meet the following requirements:
Written communication: Written communication is free of errors that detract from the overall message.
APA formatting: All resources and citations should be formatted according to current APA style and formatting guidelines.
Length: No more than three typed, double-spaced pages (but excluding cover page).
Font and font size: Times New Roman, 12 point.
Create a measurable null and alternative hypothesis.
Identify the number of samples, whether they are independent, and what type of data will be collected (that is, nominal, ordinal, interval, or ratio).
State which parametric test would be most suitable to use.
Scenario A
A company sent 83 salespersons to a sales training course. The company wants to know if their sales performance has improved or is unchanged based on the training course.
Here n = 83
Here variable of interest is no yes no type or nominal variable.
And we have to test the hypothesis that,
H0 : Sales performance has unchanged.
H1 : Sales performance is improved.
This is the one sample proportion test.
Scenario B
A company introduces a new product and wants to find out if males or females will be more likely to purchase it. The company will survey 100 males and 100 females.
Here again variable of interest is of nominal type.
n1 = n2 = no. of males = no. of females= 100
And hypothesis for the test is,
H0 : p1 = p2 Vs H1 : p1 not= or > or <
That is here we have to test two proportions.
This is two sample proportion test.
Scenario C
A company manufactures laptop computers in two different plants and wants to know if the battery life is the same for laptops from both facilities. There are samples of 55 laptops from each plant
Here we have to test two population means for each plant.
n1 = n2 = 55
Variable is quantitative.
Here sample sizes are too large so we use two sample z-test.