According to a report from the United States Environmental Protection Agency, burning one gallon of gasoline typically emits about 8.9 kg of CO2. A fuel company wants to test a new type of gasoline designed to have lower CO2 emissions. Their hypotheses are H : µ = 8.9 kg and H : µ< 8.9 kg, where u is the mean amount of CO, emitted by burning one gallon of this new gasoline. Suppose that Ho is actually true. Which situation below would have the lowest probability of a Type I error? Choose 1 answer: 20 and a = 0.01 n = 50 and a = 0.05 n = 75 and a = 0.10 %3D

Suppose that the true relationship between y; and ; is as follows, Yi = B₁ + B₂xi + Ui The error term satisfies that E[u₂] = 0 and Var(u) = 1. You find another variable zi whose sample correlation with x is equal to -1. Select correct statement(s). Because the correlation is equal to -1, we have %₁ = -₂. O If we add z; in the regression model along with ;, R² will be increased. Adding z; along with in the regression model is not plausible because of the perfect multicollinearity. O If we estimate the model y₁ = a₁ + a2%; + e₁, the estimator of a2 will be equal to -3₂, where B₂ is the OLS estimator of 32

In this same passage on organic effect, answer the questions carefully to get the correct answers.

Much concern has been expressed regarding the practice of using nitrates as meat preservatives. In one study involving possible effects of these chemicals, bacteria cultures were grown in a medium containing nitrates. The rate of uptake of radio-labeled amino acid (in dpm, disintegrations per minute) was then determined for each culture, yielding the following observations. 7,256 6,876 9,634 6,867 9,091 5,848 7,061 7,491 7,882 8,173 7,521 8,721 8,959 7,973 X 7,463 Suppose that it is known that the mean rate of uptake for cultures without nitrates is 8,000. Do the data suggest that the addition of nitrates results in a decrease in the mean rate of uptake? Test the appropriate hypotheses using a significance level of 0.10. Find the test statistic and P-value. (Use technology to calculate the P-value. Round your test statistic to two decimal places and your P-value to four decimal places.) t = P-value = 0.2142 State your conclusion. O Fail to reject Ho. We have convincing evidence that…

Much concern has been expressed regarding the practice of using nitrates as meat preservatives. In one study involving possible effects of these chemicals, bacteria cultures were grown in a medium containing nitrates. The rate of uptake of radio-labeled amino acid (in dpm, disintegrations per minute) was then determined for each culture, yielding the following observations. 7,255 6,875 9,637 6,863 9,098 5,846 8,954 7,979 7,068 7,498 7,882 8,179 7,528 8,728 7,469 Suppose that it is known that the mean rate of uptake for cultures without nitrates is 8,000. Do the data suggest that the addition of nitrates results in a decrease in the mean rate of uptake? Test the appropriate hypotheses using a significance level of 0.10. Find the test statistic and P-value. (Use technology to calculate the P-value. Round your test statistic to two decimal places and your P-value to three decimal places.) t= P-value= State your conclusion. Reject H0. We have convincing evidence that the mean rate of…

The amount of oxygen consumption (ml/min) was measured in 6 individuals over two 10- minute periods while sitting with their eyes closed. During the first period, they listen to an exciting adventure story and then again, an hour later while they heard restful music. Based on the results shown, is oxygen consumption different depending on whether it is a story or music one is listening to? The data is in Table 2 and test at an alpha of 0.05. Table 2. Oxygen consumption (ml/min)

NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. Step 1 of 2: Suppose a sample of 502 people is drawn. Of these people, 140 passed out at G forces greater than 6. Using the data, estimate the proportion of people who pass out at more than 6 Gs. Enter your answer as a fraction or a decimal number rounded to three decimal places.