Home / Expert Answers / Statistics and Probability / problem-1bumble-followed-up-with-his-data-collection-and-gathered-a-new-dataset-of-measures-around-pa490

# (Solved): Problem #1Bumble followed up with his data collection and gathered a new dataset of measures around ...

Problem #1

Bumble followed up with his data collection and gathered a new dataset of measures around sales at his grocery store per customer per visit, combining both observations and customer survey, listed in file:

 ID Spending (\$) Duration (minutes) Age Gender (0=male, 1=female) Travel (minutes) Dietary Preference Member? 1 65 21 18 0 15 Regular Yes 2 26 4 25 0 20 Regular No 3 44 31 17 0 15 Regular No 4 31 33 48 0 10 Low-carb No 5 5 9 28 0 25 Low-fat Yes 6 95 47 55 0 40 Regular No 7 12 35 33 0 20 Low-fat Yes 8 125 43 51 0 35 Low-carb No 9 8 7 25 0 5 Regular Yes 10 85 18 32 0 10 Low-carb No 11 80 49 29 0 25 Regular No 12 102 61 28 0 50 Regular No 13 89 36 30 0 15 Low-carb No 14 68 48 19 0 60 Low-fat No 15 122 57 62 0 10 Low-carb No 16 73 56 30 1 35 Low-fat Yes 17 188 68 40 1 70 Regular Yes 18 256 47 51 1 25 Low-carb No 19 113 53 45 1 30 Low-fat Yes 20 88 39 68 1 5 Low-fat Yes 21 188 57 29 1 10 Low-carb Yes 22 76 27 30 1 30 Low-fat No 23 197 67 47 1 45 Low-carb Yes 24 99 30 33 1 20 Regular Yes 25 238 61 90 1 15 Low-carb No 26 47 52 16 1 30 Low-fat Yes 27 166 26 43 1 40 Low-carb Yes 28 85 51 36 1 60 Low-fat Yes 29 159 64 71 1 45 Regular Yes 30 200 50 48 1 20 Low-fat No
 Regular Low-fat Low-carb 65 5 31 26 12 125 44 68 85 95 73 89 8 113 122 80 88 256 102 76 188 188 47 197 99 85 238 159 200 166

The variables are spending (US \$), duration of shopping (minutes), age (years) gender (0 = male, 1 = female), travel time to store (minutes), dietary preference (regular, low-fat, or low-carb), and store membership (yes/no) for each of the 30 customers that he sampled and tracked.

First, he wants to understand the population (true) average amount of spending (\$) per customer per visit for all his customers.

1-1 What is his point estimation of the population mean spending? (select from the dropdown)

\$ [ Select ] ["67.70", "85.00", "88.50", "100.83", "104.33"]

1-2 Construct a 95% confidence interval for the population mean spending. (select from the dropdown)

Lower limit = \$ [ Select ] ["24.37", "25.28", "76.46", "79.05", "125.20", "129.62"]

Upper limit = \$ [ Select ] ["24.37", "25.28", "76.46", "79.05", "125.20", "129.62"]

1-3 What is the most appropriate interpretation of the above 95% confidence interval? (select from the dropdown)

[ Select ] ["The population mean spending value is captured in the two limits without fail.", "95% of all his customers spend amounts between the two limits.", "With 95% certainty, the population mean spending value is captured in the two limits.", "With 95% certainty, all his customers spend amounts between the two limits."]

We have an Answer from Expert