Question
1) A statistical test is conducted at the 0.08 level of significance. The p-value for the test is determined to be 0.00374. If there is
1) A statistical test is conducted at the 0.08 level of significance. The p-value for the test is determined to be 0.00374. If there is sufficient evidence in support of the alternative hypothesis (the null is rejected) type the number 0 If there is not enough evidence to support the alternative (failure to reject the null), type the number 1
2) A statistical test is conducted at the 0.05 level of significance. The p-value for the test is determined to be 0.00023. If there is sufficient evidence in support of the alternative hypothesis (the null is rejected) type the number 0 If there is not enough evidence to support the alternative (failure to reject the null), type the number 1
3) What would be the degree of freedom for a sample of size 81?
4) What would be the degree of freedom for a sample of size 61?
5) The amount of time a student takes to do an online algebra quiz is normally distributed. A hypothesis test is conducted to determine if the time students are taking is, on the average, is not 39 minutes. Use your TI83 to determine the p-value of the test (to the nearest thousandth) if a sample of size 24 yields a mean of 31 minutes and a standard deviation of 20 minutes
6) The amount of time a student takes to do an online algebra quiz is normally distributed. A hypothesis test is conducted to determine if the time students are taking is, on the average, is not 38 minutes. Use your TI83 to determine the p-value of the test (to the nearest thousandth) if a sample of size 13 yields a mean of 35 minutes and a standard deviation of 23 minutes
7) The amount of time a student takes to d an online algebra quiz is normally distributed. A hypothesis test is conducted to determine if the time the students are taking is, on the average, more than 60 minutes. Use your TI83 to determine the p-value of the test (to the nearest thousandth) if a sample of size 41 yields a mean of 66 minutes and a standard deviation of 33 minutes
8)
A cereal company claims the average weight of a box of their cereal is 18.00 ounces. A quality control technician must test to see if the average weight is different. A sample of 2500 boxes of the cereal are analyzed, and yield an average weight of 17.99 ounces with a standard deviation of .04 ounces. In this problem, does the sample evidence favor the alternative hypothesis that the population average weight is different than 18.00 ounces?
a. | yes | |
b. | no | |
c. | not enough information to determine |
9)
What determines that you should use a t-distribution to get a critical value for a hypothesis test?
a. | The population deviation is being used | |
b. | The sample deviation is being used | |
c. | The sample size is small | |
d. | the sample size is large |
10)
A cereal company claims that the average weight of a box of Sugar Toast Crunchies is 16.5 ounces. The company CEO thinks there may be too much cereal going into the boxes and costing the company a loss of millions of dollars annually, and so conducts a test with 60 such boxes. The p-value from the test turns out to be 0.0008. Write, as per the Notes, the formal conclusion for this test.
11)
A claim is made that the average mileage of a new model of car is 40 mpg. Suspecting the average may actually be lower, a test at 0.05 significance using a sample of 80 such mileages and generate a sample average of 39.2 mpg and a p-value of 0.243. Write, as per examples, the formal conclusion.
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