Question

question
use the spreadsheet’s average function (look under autosum in the function menu) to calculate the means. enter the correct value in each box. use numerals instead of words, and round each value to the nearest hundredth.
the mean value of people who would purchase the red box is 18.67.
the mean value of people who would purchase the blue box is 19.27.
part b
question
what is the difference of the sample means of those who would purchase the red box and those who would purchase the blue box?
1.74
2.08
1.86
1.39

Explanation:

Step1: Identify the means

Mean of red - box buyers = 18.67, Mean of blue - box buyers = 19.27

Step2: Calculate the difference

Difference = 19.27−18.67 = 0.6

Answer:

The difference is 0.6. Since 0.6 is not among the given options, there may be an error in the problem - setup or provided options. If we assume the values in the options are correct and there was a calculation error in the previous step, we recalculate: 19.27 - 18.67=0.6. If we consider the absolute value of the difference between the two means, and re - check with the given options, we note that we might have misinterpreted the problem. Let's assume we want the positive difference.
19.27−18.67 = 0.6 (not in options). If we consider the subtraction in the other order 18.67 - 19.27=- 0.6. But if we take the absolute value of the difference between the two sample means: |19.27 - 18.67|=0.6. However, if we assume there was a data entry error in our initial understanding and we recalculate based on the options:
Let's check each option by adding the mean of the red - box buyers to the option value to see if we get the mean of the blue - box buyers.
If we take the difference as 1.39: 18.67+1.39 = 20.06 (not the mean of blue - box buyers)
If we take the difference as 1.86: 18.67+1.86 = 20.53 (not the mean of blue - box buyers)
If we take the difference as 2.08: 18.67+2.08 = 20.75 (not the mean of blue - box buyers)
If we take the difference as 1.74: 18.67+1.74 = 20.41 (not the mean of blue - box buyers)
Based on the correct calculation 19.27−18.67 = 0.6. But if we assume there was an error in our approach and we consider the closest value in a practical sense, there may be some data mis - handling. But strictly based on the calculation of the difference between 19.27 and 18.67, the answer should be 0.6. If we have to choose from the given options, there is an issue with the problem as none of them match the correct calculated value.