Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject H0 for the level of significance α. Left-tailed test z = -1.83 α = 0.05 A) 0.0336; reject H0                      B) 0.0672; fail to reject H0 C) 0.9664; fail to reject H0            D) 0.0672; reject H0

3. A researcher has collected the blood samples of 29 individuals and found that the mean hemoglobin concentration for the sample of individuals is 13.9 grams per deciliter and the standard deviation is 1.43 grams per deciliter. Calculate a 95% confidence interval for the mean hemoglobin concentration for the population.A) (13.36, 14.44)B) (13.38, 14.42)C) (10.98, 16.82)D) (11.10, 16.70)

A vehicle is advertised as having a gas mileage rating of at least 30 miles/gallon in highway driving. The miles per gallon obtained in 10 independent experiments are: 24,  25,  26,  20,  27,  25,  28, 26, 30,  33 For the null hypotheses µ ≥ 30, what is the significance level at which it can be accepted?

40. We will take a random sample of 30 vehicles of a certain make and model and measure the fuel efficiency in miles per gallon (mpg) of each of them. We will conduct a hypothesis test at the 10% level of significance to determine whether there is evidence that the true mean fuel efficiency of all cars of this make and model differs from 32 mpg. What is the probability of failing to reject H, if the true mean is in fact 32 mpg? (A) 0.10 (B) 0.95 (C) 0.05 (D) 0.90 (E) 0.20

4. In the past, the mean running time for a certain type of cell phone battery has been 19.2 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. The hypotheses are: Họ: u=19.2 hours H1: µ>19.2 hours Explain the meaning of a Type I error. A) Concluding that u> 19.2 hours when in fact u = 19.2 hours B) Concluding that u 19.2 hours C) Concluding that u = D) Concluding that u> 19.2 hours when in fact u> 19.2 hours 19.2 hours when in fact u > 19.2 hours