1.A bank is conducting a customer satisfaction survey, sampling from a list of 25000 activecustomers. The list includes 15000 general account holders, 5000 community-care accountholders, 2500 premium account holders and 2500 enterprise account holders. The analystwould like to obtain a sample of 500 customers by random sampling.(a) The selection will be made so that there is as close a representation as possible without biastowards any group of customers(i) What sampling method should be used?(ii) How many community-care account holders should be selected?(b) If systematic sampling is used to select the samples in the general customer accountholders(i) What is the sampling interval?(ii) If the first sample taken is 00028, suggest the third and fourth codes for the next twosamples 2.The spending of 20 customers on movies and snacks are as follows:110122132163120114168129148141135155131152147148136167153157(a) Draw the stem-and-leaf diagram for these data e(b) Find the median, the lower and the upper quartiles of the data(c) Find the sample variance and the sample standard deviation of the data.(d) Comment briefly on the skewness of the data.

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Asked Oct 13, 2019
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1.
A bank is conducting a customer satisfaction survey, sampling from a list of 25000 active
customers. The list includes 15000 general account holders, 5000 community-care account
holders, 2500 premium account holders and 2500 enterprise account holders. The analyst
would like to obtain a sample of 500 customers by random sampling.
(a) The selection will be made so that there is as close a representation as possible without bias
towards any group of customers
(i) What sampling method should be used?
(ii) How many community-care account holders should be selected?
(b) If systematic sampling is used to select the samples in the general customer account
holders
(i) What is the sampling interval?
(ii) If the first sample taken is 00028, suggest the third and fourth codes for the next two
samples
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1. A bank is conducting a customer satisfaction survey, sampling from a list of 25000 active customers. The list includes 15000 general account holders, 5000 community-care account holders, 2500 premium account holders and 2500 enterprise account holders. The analyst would like to obtain a sample of 500 customers by random sampling. (a) The selection will be made so that there is as close a representation as possible without bias towards any group of customers (i) What sampling method should be used? (ii) How many community-care account holders should be selected? (b) If systematic sampling is used to select the samples in the general customer account holders (i) What is the sampling interval? (ii) If the first sample taken is 00028, suggest the third and fourth codes for the next two samples

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2.
The spending of 20 customers on movies and snacks are as follows:
110
122
132
163
120
114
168
129
148
141
135
155
131
152
147
148
136
167
153
157
(a) Draw the stem-and-leaf diagram for these data e
(b) Find the median, the lower and the upper quartiles of the data
(c) Find the sample variance and the sample standard deviation of the data.
(d) Comment briefly on the skewness of the data.
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2. The spending of 20 customers on movies and snacks are as follows: 110 122 132 163 120 114 168 129 148 141 135 155 131 152 147 148 136 167 153 157 (a) Draw the stem-and-leaf diagram for these data e (b) Find the median, the lower and the upper quartiles of the data (c) Find the sample variance and the sample standard deviation of the data. (d) Comment briefly on the skewness of the data.

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Expert Answer

Step 1

Hello there! there are more than one question. According to our policies we cannot answer more than  one question. So please find the solution for first question. If you have doubts in remaining  question kindly make a new request, mentioning the question in which you need help.

As per the question
a)
i)
The sampling method used is stratified sampling. In stratified sampling, population is divided into homogeneous strata and then randomly sample from within each stratum.
Here in the question, The population 25000 is homogeneously divided into 15000 general account holders, 5000 community-care account holders, 2500 premium account holders and 2500 enterprise account holders. Then the analyst randomly sample 500 customers. So it is an example of stratified sampling.
ii)
No of community-care account holders selected
Total community-care account holders = 5000
Total population size = 25000
Sample size = 500
No of community-care account holders selected

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5000 x 500 100 25000

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Step 2

b)

If systematic sampling is used

i)

sampling interval...

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sampling interval is given by the following formula Total Population size 25000 50 sampling interval 500 sample size ii) first sample 00028 nth sample in systematic sampling is given by the following formula first sample (n 1) x sampling interval nth sampling Third sample is given by 00028 (3 1) x 50 00128 =>3rd sample code Fourth sample is given by = 00028(4 - 1) x 50 = 00178 => 4th sample code

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