72 80 82 a) Give a point estimate for the mean speed of all cars traveling on this highway. b) What is the standard error of the sample mean? c) (i) Construct a 96 % confidence interval for the mean speed of all cars traveling on this highway. (ii) Do you need to make any assumptions? Please state them. (iii) Interpretation of your Confidence interval . d)Does the true population mean lie in the interval calculatedabove? (Just circle the correct answer) Yes, No cannot tell nswer the following for the 96% confidence interval, assuming all other values remain the same. Just ciro nt answer. (i) How would the width of the confidence interval change if the confidence level increase to 99%? Would the width Increase decrease or remain the same? (ii) How would the width of the confidence interval change if the sample size n is decrease Would the width Increase decrease or remain the same?

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The following data give the speeds (in miles per hour) as measured by radar, of 4 cars traveling on
Interstate I-81:
76
72 80 82
a) Give a point estimate for the mean speed of all cars traveling on this highway.
b) What is the standard error of the sample mean?
(i) Construct a 96 % confidence interval for the mean speed of all cars traveling on this highway.
(ii) Do you need to make any assumptions? Please state them .
(iii) Interpretation of your Confidence interval .
d)Does the true population mean lie in the interval calculatedabove? (Just circle the correct answer)
cannot tell
Yes,
No
e)Answer the following for the 96% confidence interval, assuming all other values remain the same. Just circle the
right answer.
(i)
How would the width of the confidence interval change if the confidence level increases
to 99%?
Would the width
Increase
decrease
or
remain the same?
(ii)
How would the width of the confidence interval change if the sample size n is decreased?
Would the width
Increase
decrease
or remain the same?
Transcribed Image Text:The following data give the speeds (in miles per hour) as measured by radar, of 4 cars traveling on Interstate I-81: 76 72 80 82 a) Give a point estimate for the mean speed of all cars traveling on this highway. b) What is the standard error of the sample mean? (i) Construct a 96 % confidence interval for the mean speed of all cars traveling on this highway. (ii) Do you need to make any assumptions? Please state them . (iii) Interpretation of your Confidence interval . d)Does the true population mean lie in the interval calculatedabove? (Just circle the correct answer) cannot tell Yes, No e)Answer the following for the 96% confidence interval, assuming all other values remain the same. Just circle the right answer. (i) How would the width of the confidence interval change if the confidence level increases to 99%? Would the width Increase decrease or remain the same? (ii) How would the width of the confidence interval change if the sample size n is decreased? Would the width Increase decrease or remain the same?
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