1. The question about the weight of the football team players is statistical because it requires data collection to answer it and the data is variable.
2. The question about the height of Ben's mother is <u>non-statistical</u> because it does not require data collection to answer and the data is not variable, since it is one data point.
<h3>What is a statistical question?</h3>
A statistical question can be answered by collecting data and for which data will vary.
Questions answered with a single data point are <u>not statistical</u> because there is no data variability to answer them.
A statistical question can be determined by the following criteria:
- Provides useful data about a group of people.
- Many people can answer it.
- There will be many different answers.
- The data collected explains a situation or reality.
Thus, the question about the weight of the players asks a statistical question, unlike the height of Ben's mother.
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4(-2)-3 = -8-3 = -11
Answer: -11
138c since 1 pound of apples=43c
The yogurt can weigh anything above or equal to 4 ounces and less or equal to 6 ounces.
For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as
- 95% confidence interval = (0.5352, 0.4462)
- 95% confidence interval = (0.3424, 0.2894)
- 53% increased risk of divorce for smokers.
<h3>What is the 95% confidence interval for smokers and non-smokers?</h3>
Generally, the equation for the Confidence interval is mathematically given as
p ± Z/2[p(1-p)]/n
Where
Z1/2=1-(0.05/2)
Z1/2=0.975
Read z table we have
Z score= 1.96
Hence
0.4907 ± 1.96 (0.4907)(1-0.4907)/485
0.4907±0.0445
Therefore
95% confidence interval = (0.5352, 0.4462)
b)
Z1/2 = 1- (0.05/2)
Z1/2 = 0.975
Z score= 1.96
0.3159 ± 1.96 (0.3159)(1-0.3159)/1184
0.3159±0.0265
Thereofore
95% confidence interval = (0.3424, 0.2894)
c)
In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.
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