A recent study showed that the average number of sticks of gum a person chews in a week is 10. A college student believes that the guys in his dormitory chew a different amount of gum in a week. He conducts a study and samples 12 of the guys in his dorm and finds that on average they chew 17 sticks of gum in a week with a standard deviation of 3.2. Test the college student's claim at a=0.01.

MATLAB: An Introduction with Applications
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A recent study showed that the average number of sticks of gum a person chews in a week is 10. A college
student believes that the guys in his dormitory chew a different amount of gum in a week. He conducts a
study and samples 12 of the guys in his dorm and finds that on average they chew 17 sticks of gum in a
week with a standard deviation of 3.2. Test the college student's claim at a=0.01.
The correct hypotheses would be:
Ο Η: μ 10
HA:µ > 10 (claim)
O Ho : µ > 10
НА: и < 10 (claim)
Ο Η: μ = 10
HA:µ + 10 (claim)
Since the level of significance is 0.01 the critical value is 3.106 and -3.106
The test statistic is:
(round to 3 places)
The p-value is:
(round to 3 places)
The decision can be made to:
O reject Ho
O do not reject Ho
The final conclusion is that:
O There is enough evidence to reject the claim that a different amount of gum in a week.
O There is not enough evidence to reject the claim that a different amount of gum in a week.
There is enough evidence to support the claim that a different amount of gum in a week.
O There is not enough evidence to support the claim that a different amount of gum in a week.
Transcribed Image Text:A recent study showed that the average number of sticks of gum a person chews in a week is 10. A college student believes that the guys in his dormitory chew a different amount of gum in a week. He conducts a study and samples 12 of the guys in his dorm and finds that on average they chew 17 sticks of gum in a week with a standard deviation of 3.2. Test the college student's claim at a=0.01. The correct hypotheses would be: Ο Η: μ 10 HA:µ > 10 (claim) O Ho : µ > 10 НА: и < 10 (claim) Ο Η: μ = 10 HA:µ + 10 (claim) Since the level of significance is 0.01 the critical value is 3.106 and -3.106 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that a different amount of gum in a week. O There is not enough evidence to reject the claim that a different amount of gum in a week. There is enough evidence to support the claim that a different amount of gum in a week. O There is not enough evidence to support the claim that a different amount of gum in a week.
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