Cindy is measuring some pieces of ribbon for a banner. The list shows the lengths of the pieces. Use the data in the list to com
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Answer:
Is plausible that the successive throws are independent
Step-by-step explanation:
1) Table with info given
The observed values are given by the following table
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First shot Made Second shot missed Total
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Made 152 33 185
Missed 37 8 45
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Total 189 41 230
2) Calculations and test
We are interested on check independence and for this we need to conduct a chi square test, the next step would be find the expected value:
Null hypothesis: Independence between two successive free throws
Alternative hypothesis: No Independence between two successive free throws
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First shot Made Second shot missed
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Made 189(185)/230=152.0217 41(185)/230=32.9783
Missed 189(45)/230=36.9783 41(45)/230=8.0217
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On this case all the expected values are higher than 5 and the sample size 230 is enough to apply the chi squared test.
3) Calculate the chi square statistic
The statistic for this case is given by:
Where O represent the observed values and E the expected values. Replacing the values that we got we have this
Now with the calculated value we can find the degrees of freedom
on this case r means the number of rows and c the number of columns.
Now we can calculate the p value
On this case the pvalue is a very large value and that indicates that we can fail to reject the null hypothesis of independence. So is plausible that the successive throws are independent.
Solution:
The Statement made by company about it's tablet computer,
Average recharge time = 3 Hours
As, to check whether the company claim is illegal or true
A random sample of 50 company tablet computers, and their recharging time is noted.
As, we have taken random sample , so standard deviation will come into consideration whether company claim is true or false.
Mean recharge time of 50 company tablet computers= 2.5 hours
Standard deviation of 50 company tablet computers= 0.3 hours
So, Mean standard deviation =
So, Claim made by company , that its tablet computers have an average recharge time of 3 hours is Approximately true.
As , there is fluctuation of (3 hours - 2.2 hours =3-2.12=48 minutes ) and (3 hours -2.8 hours=3-2.48=12 minutes), which is not so much ,so we can believe on this company and buy the product (that is tablet computers) of this company.