A. A police officer is concerned about speeds on a certain section of Interstate
ID: 3338624 • Letter: A
Question
A. A police officer is concerned about speeds on a certain section of Interstate 95. The data accompanying this exercise show the speeds of 40 cars on a Saturday afternoon.
Highway speeds data
The speed limit on this portion of Interstate 95 is 62 mph. Specify the competing hypotheses in order to determine if the average speed is greater than the speed limit.
H0: = 62; HA: 62
H0: 62; HA: < 62
H0: 62; HA: > 62
B.Specify the critical value(s) for the test at the 10% significance level. ______________.
C. Calculate the value of the test statistic _____________.
D.
A. A police officer is concerned about speeds on a certain section of Interstate 95. The data accompanying this exercise show the speeds of 40 cars on a Saturday afternoon.
Highway speeds data
70 70 65 68 69 73 73 68 70 66 68 61 60 66 62 70 65 64 63 68 69 68 60 62 62 65 64 69 63 69 61 68 70 60 68 60 68 61 68 66The speed limit on this portion of Interstate 95 is 62 mph. Specify the competing hypotheses in order to determine if the average speed is greater than the speed limit.
H0: = 62; HA: 62
H0: 62; HA: < 62
H0: 62; HA: > 62
B.Specify the critical value(s) for the test at the 10% significance level. ______________.
C. Calculate the value of the test statistic _____________.
D.
At = 0.10, are the officer’s concerns warranted? (yes/no). At 10% significance level we (can/cannot) conclude that the average speed is greater than the speed limit.Explanation / Answer
The statistical software output for this problem is:
One sample T hypothesis test:
: Mean of variable
H0 : = 62
HA : > 62
Hypothesis test results:
Hence,
Hypotheses:
H0: 62; HA: > 62; Option C is correct.
Critical value = 1.304
Test statistic = 6.76
Conclusion: Yes; Can
Variable Sample Mean Std. Err. DF T-Stat P-value Data 66 0.59160798 39 6.761234 <0.0001Related Questions
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