In hypothesis testing, a Type 1 error occurs when
a. the null hypothesis is not rejected when the null hypothesis is true.
b. the null hypothesis is rejected when the null hypothesis is true.
c. the null hypothesis is not rejected when the alternative hypothesis is true.
d. the null hypothesis is rejected when the alternative hypothesis is true.
Q. 2The level of nitrogen oxides (NOX) in the exhaust of a particular car model can be modeled by the normal distribution with mean 0.9 grams per mile and standard deviation of 0.16 grams per mile. A random sample of 4 of these NOX levels is to be selected. What is the probability that the average NOX level of the 4 selected cars is greater than 1 gram per mile?
Q. 3Suppose the significance level for a hypothesis test is = 0.05 . If the p-value is 0.999, the conclusion is to
a. reject the null hypothesis.
b. accept the alternative hypothesis.
c. not reject the null hypothesis.
d. None of the above.
Q. 4Suppose the significance level for a hypothesis test is = 0.05 . If the p-value is 0.05, the conclusion is to
a. reject the null hypothesis.
b. accept the alternative hypothesis.
c. not reject the null hypothesis.
d. None of the above.
Q. 5The level of nitrogen oxides (NOX) in the exhaust of a particular car model can be modeled by the normal distribution with mean 0.9 grams per mile and standard deviation of 0.16 grams per mile. A random sample of 4 of these NOX levels is to be selected. What is the probability that the NOX level of all 4 cars in the sample is greater than 1 gram per mile?
Q. 6The level of nitrogen oxides (NOX) in the exhaust of a particular car model can be modeled by the normal distribution with mean 0.9 grams per mile and standard deviation of 0.16 grams per mile. A random sample of 4 of these NOX levels is to be selected. What is the probability that the NOX level of the first car in the sample is greater than 1 gram per mile?
Q. 7Suppose the significance level for a hypothesis test is = 0.05 . If the p-value is 0.049, the conclusion is to
a. reject the null hypothesis.
b. accept the null hypothesis.
c. not reject the null hypothesis.
d. None of the above.