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Trava [24]
3 years ago
9

Find the level of measurement (nominal, ordinal, interval, or ratio) and type quantitative or qualitative) for the following var

iable.
a. End-of-year stock classification (high yield, medium yield, or low yield)
b. Length (in feet) of a roll of plastic wrap advertised to be 30 feet long.
c. Temperature (in degrees Celsius)
d. Duration (in minutes) of a call to a customer support line
Mathematics
1 answer:
Soloha48 [4]3 years ago
3 0

Answer:

a. Nominal and qualitative.

b. Ratio and quantitative.

c. Interval and quantitative.

d. Interval and quantitative.

Step-by-step explanation:

A level of measurement can be defined as a classification which is used to illustrate the attributes of the values assigned to variables. There are four (4) basic levels of measurement for a variable and these are;

1. <u>Interval</u>: data can be arranged in an ordering scheme and subtracting its differences is meaningful. Examples are year, temperature, time etc.

2. <u>Ratio</u>: data can be arranged in an ordering scheme and subtracting its differences is meaningful with respect to the value of true zero. Examples are height, price, weight, distance etc.

3. <u>Ordinal</u>: data can be arranged in an ordering scheme but subtracting its differences is meaningless or impossible. Examples are happy, sad etc.

4. <u>Nominal</u>: is characterized by data that are non-numerical, comprises of categories, labels or names and can't be arranged in an ordering scheme.

In this scenario, the level of measurement and data type are listed below;

a. End-of-year stock classification (high yield, medium yield, or low yield): the level of measurement is nominal because they are categorized. Also, the type of data is qualitative because it describes the quality of the stock and it's non-numerical in nature.

b. Length (in feet) of a roll of plastic wrap advertised to be 30 feet long: the level of measurement is a ratio because they can be arranged in order. Also, it's a quantitative data because it is numerical in nature.

c. Temperature (in degrees Celsius): the level of measurement is an interval because they can be arranged in order and the difference in value is meaningful. Also, the type of data is quantitative because it is numerical in nature.

d. Duration (in minutes) of a call to a customer support line: the level of measurement is an interval because they can be arranged in order and the difference in value is meaningful. Also, the type of data is quantitative because it is numerical in nature.

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A telemarketer is successful at getting people to donate money for her organization in 55% of all calls she makes. She must get
Tems11 [23]
An interesting twist to a binomial distribution problem.

Given:
p=55%=0.55 for probability of success in solicitation
x=4=number of successful solicitations
n=number of calls to be made
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From context of question, all calls are assumed independent, with constant probability of success, so binomial distribution is applicable.

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Here we need n such that
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Method 1: if a cumulative binomial distribution table is available, we can look up n=9,10,11 and find
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P(x>=4,10,0.55)=0.898
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Method 2: using technology.
Similar to method 1, we can look up the probabilities directly, for n=9,10,11
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Method 3: using simple calculator
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so that the probability of success is 1-S.
For n=10,
P(0,10,0.55)=0.000341
P(1,10,0.55)=0.004162
P(2,10,0.55)=0.022890
P(3,10,0.55)=0.074603
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S=0.000341+0.004162+0.022890+0.074603
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