b) Does the evidence suggest that the clarity of the lake is improving at the a= 0.05 level of significance? Note that the normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. Lot d =X-Y, Identity the null and altemative hypotheses
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- Show that the sample proportion X n is a minimumvariance unbiased estimator of the binomial parameterθ.Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go") so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that of its customers order their food to go. Suppose that this proportion is correct and that a random sample of individual customers is taken. Answer the following. (If necessary, consult a list of formulas.) (a) Estimate the number of customers in the sample who order their food to go by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.Suppose that you want to perform a hypothesis test for a population mean based on a small sample but that preliminary data analyses indicate either the presence of outliers or that the variable under consideration is far from normally distributed. a. Is either the z-test or t-test appropriate? b If not, what type of procedure might be appropriate?
- Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go") so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that 45% of its customers order their food to go. Suppose that this proportion is correct and that a random sample of 50 individual customers is taken. Answer the following. (a) Estimate the number of customers in the sample who order their food to go by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.1)Remove the four potential outliers of 0, 0, 8, and 20, and then obtain a new histogram without the outliers. Does the data appear to be normally distributed now? 2)Assuming that the four potential outliers of 0, 0, 8, and 20 are not recording errors, repeat the hypothesis test from part (c) (again setting up the hypothesis test and using either the critical value or p-value approach), and compare your results with that obtained in (c). Did you make a different conclusion? 3)Imagine you know have to make a recommendation/conclusion to the company that hired you: Assuming that the four potential outlies are not recording errors, and looking at the two results above, would you recommend using the first test with the outliers or the second test with the outliers removed? There is no right or wrong answer here, I am interested in what you think and your reasoning.Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go") so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that 48% of its customers order their food to go. Suppose that this proportion is correct and that a random sample of 50 individual customers is taken. A) Estimate the number of customers in the sample who order their food to go by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. B) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places
- A large manufacturing company investigated the service it received from its suppliers and discovered that, in the past, 38% of all material shipments were received late. However, the company recently installed a just-in-time system in which suppliers are linked more closely to the manufacturing process. A random sample of 150 deliveries since the just-in-time system was installed reveals that 33 deliveries were late. If we want to test whether the proportion of late deliveries was reduced signicantly at = 0:10 the null and alternative hypotheses are a. Null hypothesis (H0) b. Alternative hypothesis (HA)Suppose a distribution mean=20,median=10 and SD=15 find co efficient of skewnessWith α = .05, the two-tailed critical region for a t test using a sample of n = 20 participants would have boundaries of _____.
- When the parameter and the sample size is equal to the parameter is being estimated, then the estimator is said to be _________________. a. Unbiased b. Consistent c. Regular d. EfficientBeyond representative sampling, what assumptions are needed to satisfy the requirements of a one-sample proportion test? The sample size should be at least 30 and the population have a normal distribution The sample size should be at least 30 or the population have a normal distribution np0np0 and nq0nq0 should both be at least 5 and the number of successes should follow a binomial distribution np0np0 and nq0nq0 should both be at least 5 or the number of successes should follow a binomial distribution Beyond representative sampling, what assumptions are needed to satisfy the requirements of a one-sample means test? The sample size should be at least 30 and the population have a normal distribution The sample size should be at least 30 or the population have a normal distribution np0np0 and nq0nq0 should both be at least 5 and the number of successes should follow a binomial distribution np0np0 and nq0nq0 should both be at least 5 or the number of successes should follow a…A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 425 gram setting. Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario.