A car leasing firm's records indicate that the mean number of miles driven annually in its cars has been about 13,000 miles. The firm suspects that this number has decreased this past year. Suppose that the firm wishes to choose a small sample of driving distances from the past year and carry out a hypothesis test for its suspicion. State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \) that it would use for this test.- \( H_0: \)- \( H_1: \)The image contains a keypad for entering mathematical symbols such as \( \mu, \bar{x}, p, \hat{p}, \sigma, s \), and comparison operators like \( <, >, \leq, \geq, =, \neq \).

GivenA car leasing firm's records indicate that the mean number of miles drivenannually in its cars…

Answered: A car leasing firm's records indicate…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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According to a University Center for Logistics Management, 12% of all merchandise sold in the United States gets returned. A Seattle department store sampled 89 items sold in January and found that 8 of the items were returned.If you have the following null and alternative hypotheses for a test you are running:H0:p=0.12Ha:p<0.12Calculate the test statistic, rounded to 3 decimal places Z=
The null and alternate hypotheses are: He: P₁ =H₂ H₁ H₁ #P₂ A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample mean of 342 and a sample standard deviation of 15. The population variances are assumed to be equal. At the 0.10 significance level, is there a difference in the population means? a. Is this a one-tailed or a two-tailed test? O One-tailed test. OTwo-tailed test. b. State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) The decision rule is to reject H0 if t
QUESTION 1 Which of the following is not an interpretation of the null hypothesis: a. The "no effect" value of the population parameter. Ob. The "supposed value" of the population parameter. Oc. The hypothesis on which the burden of proof is placed. d. All values of the parameter not specified under the alternative hypothesis. e. All of the above. QUESTION 2 The p-value of a hypothesis test is" O a. the smallest significance level at which the null hypothesis cannot be rejected. Ob. the smallest significance level at which the alternative hypothesis can be rejectec Oc. the largest significance level at which the null hypothesis can be rejected. Od. the smallest significance level at which the null hypothesis can be rejected. e. none of the above.
Under what circumstances is a t statistic used instead of a z-score for a hypothesis test? Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. Determine the critical region using a one-tailed test with alpha = .05. Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). Based on your analysis, is there a relationship between the drug and attention span?
The Statistics Games are played by a large number of students across the county. Last year, 32% of Clayton State students participated in the Games. You wonder: “Has the proportion increased this year?”. To find out, you take a random sample of 250 CSU students and ask them if they participated in the Games this year. You find that 38% did. Write the null and alternate hypotheses. A Ho: μ = 0.32 Ha: μ < 0.32 B Ho: μ = 0.32 Ha: μ ≠ 0.32 C Ho: p = 0.32 Ha: p > 0.32 D Ho: p = 0.32 Ha: p < 0.32 E Ho: p = 0.38 Ha: p > 0.38
The mean height of a certain kind of plant is 172 centimeters. Suppose we want to carry out a hypothesis test to see if the mean height when these plants are treated with a certain chemical differs from 172. State the null hypothesis H, and the alternative hypothesis H , that we would use for this test. Ho: 0 H;: 0 O S OSO Submit A Continue
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 436 gram setting. Based on a 20 bag sample where the mean is 433 grams and the variance is 121, is there sufficient evidence at the 0.025 level that the bags are underfilled? Assume the population distribution is approximately normal. Step 1 of 5 : State the null and alternative hypotheses.

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