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...


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

Extracted 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 Aouanbasg

Jun 07, 2022
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