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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