Question

For this lab assignment, perform the hypothesis test for the following 4 problems using StatCrunch. For proportion problems, always use z test and for mean problems, use z if ? is known and t test if ? is unknown. Submit a handwritten pdf. Label each problem correctly. For each problem, do the following: -State if it is a mean problem or proportion problem. -Clearly state the null and alternative hypothesis as well as the claim. -Include test statistic value and formula that would be used to find it (even though you are using statcrunch for test statistic). -State p value and/or critical values. -State your decision and conclusion. #1 A bus company advertised a mean time of 150 minutes for a trip between two cities. A consumer group had reason to believe that the mean time was more than 150 minutes. A sample of 40 trips showed a mean x? = 153 minutes and a standard deviation s=7.5 minutes. At the .05 level of significance, test the consumer group's belief. #2 A bank claims that the mean wait time during lunch hour is 6 min. To test the claim they took a random sample of 28 people during lunch time and found that the mean wait time is 6.8 min with a standard deviation of 1.82 min. Test bank's claim at ? = 0.05 . Assume that the wait time follows normal distribution. #3 The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of 54 bears has a mean weight of 182.9 lb. Assuming that population standard deviation is known to be 121.8 lb, use a 0.01 significance level to test claim that the population mean of all such bear weights is less than 200lb. #4 Mr. Clean claims that at least 60% of female car owners have a hybrid car. In a random sample of 100 female car owners, 58 owned a hybrid car. Is there enough evidence to support Mr. Clean's claim? Use ? = .05

For this lab assignment, perform the hypothesis test for the following 4 problems using StatCrunch. For proportion problems, always use z test and for mean problems, use z if ? is known and t test if ? is unknown. Submit a handwritten pdf. Label each problem correctly. For each problem, do the following:

-State if it is a mean problem or proportion problem.
-Clearly state the null and alternative hypothesis as well as the claim.
-Include test statistic value and formula that would be used to find it (even though you are using statcrunch for test statistic).
-State p value and/or critical values.
-State your decision and conclusion.

#1 A bus company advertised a mean time of 150 minutes for a trip between two cities. A consumer group had reason to believe that the mean time was more than 150 minutes. A sample of 40 trips showed a mean x? = 153 minutes and a standard deviation s=7.5 minutes. At the .05 level of significance, test the consumer group's belief.

#2 A bank claims that the mean wait time during lunch hour is 6 min. To test the claim they took a random sample of 28 people during lunch time and found that the mean wait time is 6.8 min with a standard deviation of 1.82 min. Test bank's claim at ? = 0.05 . Assume that the wait time follows normal distribution.

#3 The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of 54 bears has a mean weight of 182.9 lb. Assuming that population standard deviation is known to be 121.8 lb, use a 0.01 significance level to test claim that the population mean of all such bear weights is less than 200lb.

#4 Mr. Clean claims that at least 60% of female car owners have a hybrid car. In a random sample of 100 female car owners, 58 owned a hybrid car. Is there enough evidence to support Mr. Clean's claim? Use ? = .05

For this lab assignment, perform the hypothesis test for the following 4 problems using StatCrunch. For proportion problems, always use z test and for mean problems, use z if ? is known and t test if ? is unknown. Submit a handwritten pdf. Label each problem correctly. For each problem, do the following:

-State if it is a mean problem or proportion problem.
-Clearly state the null and alternative hypothesis as well as the claim.
-Include test statistic value and formula that would be used to find it (even though you are using statcrunch for test statistic).
-State p value and/or critical values.
-State your decision and conclusion.

#1 A bus company advertised a mean time of 150 minutes for a trip between two cities. A consumer group had reason to believe that the mean time was more than 150 minutes. A sample of 40 trips showed a mean x? = 153 minutes and a standard deviation s=7.5 minutes. At the .05 level of significance, test the consumer group's belief.

#2 A bank claims that the mean wait time during lunch hour is 6 min. To test the claim they took a random sample of 28 people during lunch time and found that the mean wait time is 6.8 min with a standard deviation of 1.82 min. Test bank's claim at ? = 0.05 . Assume that the wait time follows normal distribution.

#3 The health of the bear population in Yellowstone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of 54 bears has a mean weight of 182.9 lb. Assuming that population standard deviation is known to be 121.8 lb, use a 0.01 significance level to test claim that the population mean of all such bear weights is less than 200lb.

#4 Mr. Clean claims that at least 60% of female car owners have a hybrid car. In a random sample of 100 female car owners, 58 owned a hybrid car. Is there enough evidence to support Mr. Clean's claim? Use ? = .05

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