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Q1) Following data for dependent variable , Y and independent variable, x, have been gathered using simple random sampling
X
Y
10
120
14
130
16
170
12
150
20
200
18
180
190
160
a) Create a scatter plot for those data. Based on scatter plot, how would you explain relationship between the two variable.
b) Calculate the correlation coefficient
Explain the terms parameter and statistics. Make sure the concepts of population and sample are included in the definitions.
Determine margin of error for confidence interval in (a)?
Suppose there is no cyclical component. Quarterly billing for water usage is shown below describe summer billing for year 5.
What percentage of bottles can we expect to have a volume less than 32 oz?
Determine the mean and standard deviation of this distribution?
What sample size and acceptable level would result in a probability of .05 that a good batch will be rejected and a probability of .10 that a bad batch will be accepted?
The width of a confidence interval will be:
Determine the probability distribution associated with these data.
Which combination of factors has greatest likelihood of rejecting null hypothesis?
If only one bolt is chosen, determine the probability that it will be found defective for only 1 reason (that is. it is either too large or has poor workmanship, but not both.)
If statistically significant, do you think the difference is large enough to be important?
When combining probabilities, to find the probability of one event AND another event, the separate probabilities should be
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