If the hypotheses are Ho: μ = 60 H₁: #60, we need to do a hypothesis test in only in the upper tail of the sampling distribution in one tail of the sampling distribution in both tails of the sampling distribution only in the lower tail of the sampling distribution
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- Rick O'Shea is a candidate for governor of a big state. To get the latest voter opinion poll, his campaign organization obtains a random sample of likely voters. The sample is located in Worksheet "DATA13". 13 The point estimate of the population proportion is, a 0.531 b 0.542 c 0.553 d 0.5646. To test the null hypothesis H0: µ ≥ 25. A sample of 20, sample mean is 23, sample variance is 16. The test will be used is: Select one: Left-tail t- test Two tails t-test Right-tail t-test Right-tail z testThe third worksheet labeled sample B is a simple random sample with replacement, with seven observations in the sample, from some population. The index i in the first column is just an integer name for each observation. The specific values x in the second column are measures of a random variable X distributed in the population. Now suppose this random variable X is known to have a Normal distribution in the sampled population. You still do not know the population mean and must estimate it from the sample, as you did earlier. BUT NOW, in this question, you know in advance that the true population standard deviation of the random variable X is 4. Compute the standard error (of the sample mean), given this new knowledge situation. i xi 1 74.2 2 72.79 3 70.35 4 74.37 5 73.34 6 78.96 7 77.99
- Suppose a simple random sample of size na 150 is obtained from a population whose size is N 25,000 and whose population proportion with a specifed characteristic is p=0.6. Complete parts (a) through (c) below, (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below QA Not normal because ns0.05N and np(1-p) 10. OB Approximately normal becausens0.05N and np(1-p)< 10. OC. Not nomal because ns0.05N and np(1- p) 1o. o. Approximalely nomal becausens0.0SN and ne(t-pa 10 Determine the mean of the sampling distribuion of p H Round to one decimal place as needed)The third worksheet labeled sample B is a simple random sample with replacement, with seven observations in the sample, from some population. The index i in the first column is just an integer name for each observation. The specific values x in the second column are measures of a random variable X distributed in the population. Now suppose this random variable X is known to have a Normal distribution in the sampled population, BUT you do not know the population mean or the population standard deviation of that Normal distribution: Both must be estimated from the sample as you just did. Compute the lower bound of an 80% confidence interval for the population mean, using the appropriate sample estimates and techniques appropriate to the knowledge situation described above. i xi 1 74.2 2 72.79 3 70.35 4 74.37 5 73.34 6 78.96 7 77.99In a random sample of 320 cars driven at low altitude, 40 of them exceeded the standard 10 grams of particulate pollution per gallon of fuel consumed. In another independent random sample of 80 cars driven at high altitude, 20 of them exceeded the standard. Let P 1be the true proportion of cars that exceed the standard in low altitudes and P 2be the true proportion of cars that exceed the standard in high altitudes. What is the test statistic for testing this hypothesis.
- The Rowntown Cab Company has 26 cabs. The local man-ager wants to conduct a work sampling study to determine what proportion of the time a cab driver is sitting idle,which he estimates is about 30%. The cabs were observedat random during a five-day period by the dispatcher, who simply called each cab and checked on its status. The man-ager wants the estimate to be within 3% of the propor-tion, with a 95% level of confidence. a. Determine the sample size for this work sampling study.b. The results of the first 20 observations of the worksampling study are shown as follows.What is the revised estimate of the sample size based onthese initial results? Observation Idle Cabs Observation Idle Cabs1 4 11 62 3 12 43 5 13 34 8 14 55 7 15 2A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime) at a certain intersection is 35%. To test this claim, a random sample of 500 accidents at this intersection was examined from police records it is determined that 156 accidents occurred in the daytime. The following is the setup for this hypothesis test: Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places. The following table can be utilized which provides areas under the Standard Normal Curve:A researcher claims that the incidence of a certain type of cancer is less than 5%. To test this claim, the a random sample of 4000 people are checked and 170 are determined to have the cancer. The following is the setup for this hypothesis test: Ho p 0.05 Ha :p< 0.05 In this example, the p-value was determined to be 0.015. come to a conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%) Select the correct answer below O The decision is to reject the Null Hypothesis. The conclusion is that there is enough evidence to support the claim o The decision is to fail to reject the Null Hypothesis. The conclusion is that there is not enough evidence to support the claim.
- According to a recent poll, 27% of Americans get 30 minutes of exercise at least five days each week. Let's assume this is the parameter value for the population. You take a simple random sample of 25 Americans and let p(hat) equal the proportion in the sample who get 30 minutes of exercise at least five days per week. Does the sampling distribution pass the Normal condition? 1) Yes because n >= 30 2) No, because n < 30 3) Cannot be determined 4) No, because np < 10 5) Yes, because n (1-p) >= 10The next three questions are based on the following information: We're trying to determine if Lamborghini Aventador and Ferrari Enzo are different from each other based on their speed. In order to test this we record the average speed of 50 laps for each car. Which of the following is our alternate hypothesis O A. H1: Population average speed (Lamborghini) - Population average speed (Ferrari) = 0 B. H1: Population average speed (Lamborghini) - Population average speed (Ferrari) not equal to 0 C. H1: Population average speed (Lamborghini) - Population average speed (Ferrari) > 0 D. H1: Population average speed (Lamborghini) - Population average speed (Ferrari) < 0A school district has a standardized test that it uses to determine placement into special classes. The superintendent is looking to determine whether male and female students have different scores on the test. The scores for a random sample of 25 male students and 25 female students are recorded. Assume that the scores are normally distributed for both male and female students. Let the male students be the first sample, and let the female students be the second sample. Is there enough evidence, at a = 0.01 to show a difference between male and female scores? Identify the degree of freedom and the critical value(s) to be used for this hypothesis test. Do not round; use the exact value from the t-table. Degree of freedom = Provide your answer below: Critical Value(s) = Males Females x1 = 168x2 = 171 $1 = 14 $2 = 17 n1 = 25 n2 = 25 Probability Degrees of Freedom 23 24 25 26 27 28 29 0.10 0.05 0.025 0.01 0.005 1.319 1.714 2.069 2.500 2.807 1.318 1.711 2.064 2.492 2.797 1.316 1.708 2.060…
