Hope this answers your question :)
Solve the math problem
1 answer:
Answer:
<u>Explanatory variable</u> (independent variable)
- The variable that affects the other variable.
- Drawn along the horizontal axis.
<u>Response variable</u> (dependent variable)
- The variable that is being affected.
- Drawn up the vertical axis.
(a) As the class wondered if they could <em>predict the father's height</em>, when they<em> know the son's height</em>
Explanatory variable = son's height
Response variable = father's height
(even though this is contrary to real-life, where the father's height would be used to predict the son's height)
(b) **see first attachment**
(c) The association is positive since the father's height increases as the son's height increases.
(d) **see second attachment**
Outlier = Paul (64.5, 73)
This point is far away from the majority of points on the scatter plot.
If we add a regression line to the scatter plot, we can see that this data point is the farthest from the regression line.
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<h2>Answer with explanation:</h2>
Let be the population mean lifetime of circulated $1 bills.
By considering the given information , we have :-
Since the alternative hypotheses is two tailed so the test is a two tailed test.
We assume that the lifetime of circulated $1 bills is normally distributed.
Given : Sample size : n=50 , which is greater than 30 .
It means the sample is large so we use z-test.
Sample mean :
Standard deviation :
Test statistic for population mean :-
The p-value=
Since the p-value (0.0433834) is greater than the significance level (0.02) , so we do not reject the null hypothesis.
Hence, we conclude that we do not have enough evidence to support the alternative hypothesis that the average lifetime of a circulated $1 bill differs from 18 months.