i) Estimate the average repair cost for a month and place a bound on the error of estimation ii) How many clusters should be selected if you want the bound on the error of estimation to be less than RO 2?
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- For a population with phi = 16 , how large a sample is necessary to have a standard error that is less than 2 points ?Suppose we want to know what proportion p of students in a largeuniversity have studied calculus in high school. At least how many studentsshould we include in a sample if we want to estimate p with an error bound of 0.03 (at most) with 95% confidence ?A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 269 had BMIs of less than 25, 156 had BMIs that were at least 25 but less than 30, and 121 had BMIs exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? (a) State the appropriate hypotheses with a significance level of 0.05. H0: p = 0.20Ha: p > 0.20H0: p > 0.20Ha: p = 0.20 H0: p = 0.20Ha: p < 0.20H0: p = 0.20Ha: p ≠ 0.20 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z=P-value= What can you conclude? Reject the null hypothesis. There is sufficient evidence that more than 20% of the population of female workers is obese.Reject the null hypothesis. There is not…
- what is the conventional minimum power a study should have? For a study with this minimum power, what is tthe probablility that you will fail to reject the null hypothesis if the research hypothesis is true?In a café, the manager wishes to estimate p, the proportion of customers who will order sandwich for their lunch. Suppose 30 out of 300 customers will order sandwich for their lunch. Find the probability that more than 40 customers will order sandwich for their lunch by using a suitable approximationA student attempted to use L’Hopital’s Rule as follows. Did the student make an error, if any, or does it state “no error”?
- Suppose an electric-vehicle manufacturing company estimates that a driver who commutes 50 miles per day in a particular vehicle has a recharging time that has a uniformly distributed between 70 and 110 minutes. What is the expected recharging time in minutes?(Enter your answer with no decimal places).A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 269 had BMIs of less than 25, 156 had BMIs that were at least 25 but less than 30, and 121 had BMIs exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? (c) What is the probability of not concluding that more than 20% of the population is obese when the actual percentage of obese individuals is 23%? (Round your answer to four decimal places.)Compute the critical value zα/2 that corresponds to a 82% level of confidence.
- According to the National Center for Health Statistics (2004), 22.4% of adults are smokers. A random sample of 300 adults is obtained. Subquestion: What would the minimum number of adults need to be in order to ensure the sampled values are independent of each other?A random group of students was selected from a large student conference to analyze their class in school Is there evidence to reject the hypothesis that the number of students is equally distributed between the four classesat a = 0.05 ?If the number of sample is less than 30 (n<30), what is the requirement for the population to apply the central Limit Theorem?