Unit 1 Homework
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MAT-1430 Business Statistics
Unit 1 Homework
1.
(3 points) Data are often collected from a call center regarding the nature and length of their customer service phone calls. Suppose a company is particularly interested in a few variables listed below. List the data type, level and timing for each variable.
a.
The length of each call, in minutes.
Type-quantitative
Level-ratio data
Timing-cross-sectional data
b.
The satisfaction rating the customer gave the service in a post-call survey (on
a scale of one to five.)
Type-qualitative
Level-ordinal
Timing-cross-sectional data
c.
The reason for the call (technical support, complaint, etc.)
Type-qualitative
Level-nominal
Timing-cross-sectional data
d.
The response to the question “Would you recommend our services to a friend?
Type-qualitative
Level-nominal
Timing-cross-sectional data
e.
Number of calls received each day for the last month.
Type-quantitative
Level-ratio data
Timing-time series data
f.
Total frequency of calls received by category (technical support, complaint, etc.) over the last month.
Type-qualitative
Level-nominal
Timing-Times series data
2.
(2 points) Suppose data are collected for a bank regarding their customers’ accounts. The following variables were examined: Account number, account type, account balance
(in dollars) and current amount due. For each variable examined, state the data type, level and timing.
Account number- qualitative, nominal, cross-sectional
Account type-qualitative, nominal, cross-sectional
Account balance-quantitative, ratio-data, time-series
Current amount due-quantitative, ratio-data, cross-sectional
3.
(3 points) State the sampling method described in the following scenarios:
a.
A restaurant chain randomly selects four of its ten locations to visit and gather data regarding customer eating habits.
Simple random sampling b.
A restaurant chain sends a visitor to gather data regarding customer eating habits to the four locations nearest the visitor’s home.
Convenience sampling
c.
A bank distributes a customer survey by first grouping accounts by their current balance and then randomly sampling a certain number of customers in each group.
Multistage sampling
d.
A store distributes a survey to every 10
th
customer that enters, with the first customer randomly chosen.
Systematic sampling e.
To gather a US state’s demographic data in between censuses, five counties are randomly selected. Every resident that lives in one of three randomly chosen neighborhoods from each of those counties are selected and surveyed.
Multistage sampling
f.
Immediately after a new TV show airs for the first time, a review poll for the show is posted on Facebook.
Voluntary response sampling
4.
(2 points) A survey is distributed to college students to gather opinions about food services on campus. Name one bias that must especially be guarded against in this situation. Explain your choice.
Voluntary Response Bias because if the only people who fill out the survey are people who are passionate about what they eat on campus, the survey won’t be able to get the opinions of everyone else who might think something completely different.
5.
(2 points) A coach is planning to interview their team’s athletes to gather information regarding how they feel regarding practice habits. State and explain one bias that will be an issue in this scenario.
Undercoverage because the coach might not interview every single member leaving out opinions that not considered when looking at the final results.
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