MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- The 2006 Statistical Abstract of the United States reports on a survey that asked a national sample of 80,000 American households about pet ownership. Suppose (for now) that one-third of all American households own a pet cat. This survey found that 32.8% of the households sampled owned a pet cat. Is this number a parameter or a statistic? Calculate the Z-score of this sample proportion (0.328).arrow_forwardIf the proportion differs from 30%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is 2.5. Find the P-value for a two-tailed test of hypothesis. Select one: A. 0.0062 B. 0.4938 C. 0.0124 D. 0.4876arrow_forwardYou want to run a hypothesis test on the proportion of a phenomenon occurring. You make the following choices: Significance level: 5% Null Hypothesis: p >= 0.6 Alternate Hypothesis: p < 0.6 A sample is then taken with the following properties: A sample size of 120 A sample proportion of 0.54 Run a hypothesis test and either reject or do not reject the null hypothesis.arrow_forward
- According to a University Center for Logistics Management, 10% 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=0.1Ha:p≠0.1Calculate the test statistic, rounded to 3 decimal placesarrow_forwardYou are conducting a study to see if the proportion of voters who prefer candidates a is significantly different from 0.6. Thus you are performing a two-tailed test. Your sample data produce the test statistics z=-1.65. Find the p-value accurate to 4 decimal placesarrow_forwardTwo separate samples, each with 16 individuals, receive two different treatments. After treatment, the first sample has SS = 1540 and the second has SS = 1460. If the sample mean difference is 10 points (i.e., M1 - M2 = 10), compute the t-statistic. If it is a decimal number, include the numbers after the decimal point. If it is a decimal number with two or more than two places, leave only two decimal places after the decimal point. Please do not round. The t-statistic isarrow_forward
- You are thinking about opening a restaurant and are searching for a good location. From research you have done, you know that the mean income of those living near the restaurant must be over $85,000 to support the type of upscale restaurant you wish to open. You decide to take a simple random sample of 50 people living near one potential location. Based on the mean income of this sample, you will perform a test of Ho : μ = $85,000 Haμ> $85,000 where is the true mean income in the population of people who live near the restaurant. Which of the following is not true regarding Type I and Type II errors in this setting? All of these statements are true. A possible consequence of a Type I error here is you may open your restaurant in a location where the residents will not be able to support it, so your restaurant may go out of business. A Type I error occurs when you find convincing evidence that the mean income of all residents near the restaurant exceeds $85,000 when in reality it does…arrow_forwardWhen comparing two independent population means, if n1 = 13 and n2 = 10, degrees of freedom for the t statistic is 22. %3D True or False True Falsearrow_forwardOBFW Publishers A state's Division of Motor Vehicles (DMV) claims that 60% of all teens pass their driving test on the first attempt. An investigative reporter examines an SRS of the DMV records for 125 teens; 86 of them passed the test on their first try. A hypothesis test of Ho: P = 0.60 Ha:p # 0.60 where p = the true proportion of teens who pass their driving test on the first attempt using a = 0.05 gives a P-value of 0.0444. A 95% confidence interval for the true proportion of teens who pass the driving test on the first attempt is 0.607 to 0.769. Which is the following statements is not true with regards to the 95% confidence interval provided and the result of the hypothesis test? OA two-sided test only allows us to reject (or fail to reject) a hypothesized value for a particular population parameter. The value 0.60 is not a plausible value because it falls outside the 95% confidence interval. The 95% confidence interval provided gives an approximate set of po's that would not be…arrow_forward
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