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(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:

IDSpending ($)Duration (minutes)AgeGender (0=male, 1=female)Travel (minutes)Dietary PreferenceMember?
1652118015RegularYes
226425020RegularNo
3443117015RegularNo
4313348010Low-carbNo
55928025Low-fatYes
6954755040RegularNo
7123533020Low-fatYes
81254351035Low-carbNo
9872505RegularYes
10851832010Low-carbNo
11804929025RegularNo
121026128050RegularNo
13893630015Low-carbNo
14684819060Low-fatNo
151225762010Low-carbNo
16735630135Low-fatYes
171886840170RegularYes
182564751125Low-carbNo
191135345130Low-fatYes
2088396815Low-fatYes
211885729110Low-carbYes
22762730130Low-fatNo
231976747145Low-carbYes
24993033120RegularYes
252386190115Low-carbNo
26475216130Low-fatYes
271662643140Low-carbYes
28855136160Low-fatYes
291596471145RegularYes
302005048120Low-fatNo
RegularLow-fatLow-carb
65531
2612125
446885
957389
8113122
8088256
10276188
18847197
9985238
159200166

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."]



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1-1 The point estimation of the population mean spending is:   
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