QUESTION 1 (10) Several restaurants feature a device that allows credit card users to tap cards at the table. It allows the user to specify a percentage, or a rand amount to leave as a tip. In an experiment to see how it works, a random sample of credit card users was drawn. Some paid cash (x)% tip and some used credit cards device (x2)% tip. The percent left as a tip was recorded and summarised below. n₁ = 10 x₁ = 12.62 s² = 2.66 n2 = 10 x2 = 13.88 s = 1.48 a) Can we infer that users of the device leave larger tips? Show all calculations. Estimate with 95% level of confidence the difference between the two means. b) (7) (3)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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QUESTION 1
(10)
Several restaurants feature a device that allows credit card users to tap cards at the table. It allows
the user to specify a percentage, or a rand amount to leave as a tip. In an experiment to see how it
works, a random sample of credit card users was drawn. Some paid cash (x)% tip and some used
credit cards device (x2)% tip. The percent left as a tip was recorded and summarised below.
n₁ = 10 x₁ = 12.62 s² = 2.66
n2 = 10 x2 = 13.88 s = 1.48
a) Can we infer that users of the device leave larger tips? Show all calculations.
Estimate with 95% level of confidence the difference between the two means.
b)
(7)
(3)
Transcribed Image Text:QUESTION 1 (10) Several restaurants feature a device that allows credit card users to tap cards at the table. It allows the user to specify a percentage, or a rand amount to leave as a tip. In an experiment to see how it works, a random sample of credit card users was drawn. Some paid cash (x)% tip and some used credit cards device (x2)% tip. The percent left as a tip was recorded and summarised below. n₁ = 10 x₁ = 12.62 s² = 2.66 n2 = 10 x2 = 13.88 s = 1.48 a) Can we infer that users of the device leave larger tips? Show all calculations. Estimate with 95% level of confidence the difference between the two means. b) (7) (3)
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