Question 2 The Excel output below summarises the purchase amounts, in dollars, for a random sample of 83 Rocky (an online music store) customer downloads. Rocky Purchase Amownt (RM) Mean A 30 Standard Error в 25 Median 75.25 20 Q1 Q3 64.87 82.51 15 Mode #N/A 10 Standard Deviation 16.15 Sample Variance 5. Kurtosis 2.13 20 30 40 50 s0 70 s0 90 100 Skewness D 110 Range E Purchase Amount (dollars) Minimum 16.39 Maximum 108.1 Sum 6093.51 Count 83 a. Find the values of A, B, C, D and E in the output above. b. Which are the best measures of central tendency and dispersion that should be used to describe this distribution? Give brief reasons. What are their values and interpret them? c. Rocky is offering a RM 25 download voucher to each customer who purchases more than RM 100 worth of music in one transaction, in an attempt to attract more customers to their website. From the histogram, will Rocky offer many of its customers the RM 25 gift voucher? Explain briefly. d. It is known that previous Rocky customer purchase amounts are normally distributed with mean RM 75 and standard deviation of RM 24. If Rocky collects a sample of 119 transactions, what is the probability the average purchase amount recorded is between RM 70 and RM 71.50? Aauanbag
Question 2 The Excel output below summarises the purchase amounts, in dollars, for a random sample of 83 Rocky (an online music store) customer downloads. Rocky Purchase Amownt (RM) Mean A 30 Standard Error в 25 Median 75.25 20 Q1 Q3 64.87 82.51 15 Mode #N/A 10 Standard Deviation 16.15 Sample Variance 5. Kurtosis 2.13 20 30 40 50 s0 70 s0 90 100 Skewness D 110 Range E Purchase Amount (dollars) Minimum 16.39 Maximum 108.1 Sum 6093.51 Count 83 a. Find the values of A, B, C, D and E in the output above. b. Which are the best measures of central tendency and dispersion that should be used to describe this distribution? Give brief reasons. What are their values and interpret them? c. Rocky is offering a RM 25 download voucher to each customer who purchases more than RM 100 worth of music in one transaction, in an attempt to attract more customers to their website. From the histogram, will Rocky offer many of its customers the RM 25 gift voucher? Explain briefly. d. It is known that previous Rocky customer purchase amounts are normally distributed with mean RM 75 and standard deviation of RM 24. If Rocky collects a sample of 119 transactions, what is the probability the average purchase amount recorded is between RM 70 and RM 71.50? Aauanbag
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Transcribed Image Text:Question 2
The Excel output below summarises the purchase amounts, in dollars, for a random
sample of 83 Rocky (an online music store) customer downloads.
Rocky Purchase Amount (RM)
Мean
A
30
Standard Error
B
25
Median
75.25
20
Q1
64.87
Q3
82.51
15
Mode
#N/A
10
Standard Deviation
16.15
Sample Variance
Kurtosis
2.13
so 60 70 80
Skewness
D
20 30 40
90
100
110
Range
E
Purchase Amount (dollars)
Minimum
16.39
Maximum
108.1
Sum
6093.51
Count
83
a. Find the values of A, B, C, D and E in the output above.
b. Which are the best measures of central tendency and dispersion that should be used
to describe this distribution? Give brief reasons. What are their values and interpret
them?
c. Rocky is offering a RM 25 download voucher to each customer who purchases
more than RM 100 worth of music in one transaction, in an attempt to attract more
customers to their website. From the histogram, will Rocky offer many of its
customers the RM 25 gift voucher? Explain briefly.
d. It is known that previous Rocky customer purchase amounts are normally
distributed with mean RM 75 and standard deviation of RM 24. If Rocky collects
a sample of 119 transactions, what is the probability the average purchase amount
recorded is between RM 70 and RM 71.50?
in
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