. Compare the approximately probability values and the actual probability values. 2. How would you make the approximate probability values very close to the actual probability values?
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Q: How would you make the approximately probability values very close to the actual probability values
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A: Given
1. Compare the approximately
2. How would you make the approximate probability values very close to the actual probability values?
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- A researcher conducted a Chi-square test to determine whether the progeny of oyster mushroom follows the ratio of 3 grey: 1 white. From his calculation, he found his calculated Chi-square is smaller than the critical Chi-square value from the table. Which one is the CORRECT conclusion? a. Null hypothesis cannot be rejected. The progeny ratio is different than the expected ratio. b. Null hypothesis is rejected. The progeny ratio follows the expected ratio. c. The ratio of the progeny from his experiment does not follow the ratio 3:1. d. The ratio of the progeny from his experiment is consistent with the ratio 3:1.This cardiologist gets a report on his patients' sugar consumption from the nutritionist. He becomes concerned that his patients seem to consume even more sugar that what is in a typical American diet. He decides to take a random sample of 100 of his patients and calculate the mean sugar consumption, x̅, of these 100 patients. The mean sugar consumption for these 100 patients is 17.3 teaspoons. Let's assume, for the moment, that his patients are no different than the general population of Americans with µ (daily sugar consumption) = 16.1 teaspoons and σ = 3.5 teaspoons and that his sample of 100 patients is one random sample from this population. What is the probability of obtaining a mean sugar consumption of 17.3 teaspoons (or more) in his sample of 100 patients if his patients are similar to the general population? What is the probability that the average (x̅) is greater than 17.3?A marketing manager of a pizza parlor propose a campaign to promote online sales in a town during the time of lockdown. It is proposed that customers be compensated with RM7 e-Voucher if delivery time is greater than 20 minutes for addresses located within four kilometers radius from the parlor with minimum order of RM40. The manager collected delivery time of 30 orders out of the total of 180 orders in the month of January of 2021 and found that the delivery time has mean of 15 minutes. In the past, the standard deviation of delivery time for the delivery staff has been found 3 minutes. What is the probability that delivery time within the town is less than 10 minutes?
- A marketing manager of a pizza parlor propose a campaign to promote online sales in a town during the time of lockdown. It is proposed that customers be compensated with RM7 e-Voucher if delivery time is greater than 20 minutes for addresses located within four kilometers radius from the parlor with minimum order of RM40. The manager collected delivery time of 30 orders out of the total of 180 orders in the month of January of 2021 and found that the delivery time has mean of 15 minutes. In the past, the standard deviation of delivery time for the delivery staff has been found 3 minutes. What is the probability that delivery time is greater than 18 minutes?A marketing manager of a pizza parlor propose a campaign to promote online sales in a town during the time of lockdown. It is proposed that customers be compensated with RM7 e-Voucher if delivery time is greater than 20 minutes for addresses located within four kilometers radius from the parlor with minimum order of RM40. The manager collected delivery time of 30 orders out of the total of 180 orders in the month of January of 2021 and found that the delivery time has mean of 15 minutes. In the past, the standard deviation of delivery time for the delivery staff has been found 3 minutes. a) What is the probability that delivery time within the town is less than 10 minutes? b) What is the probability that delivery time is greater than 18 minutes? c) Estimate at expected cost of late delivery per month. d) Would you recommend the marketing manager to make the statement in the promotional flyers? Explain your answer.1.- A study conducted in the automotive field states that more than 40% of vehicle engine failures are due to problems in the cooling system. To test this statement, a study is carried out on 70 vehicles and the critical region is defined as x < 26, where x is the number of vehicle engines that have problems in the cooling system. (use the normal approximation)a) Evaluate the probability of making a type I error, assuming that p = 0.4.b) Evaluate the probability of committing a type II error, for the alternative p = 0.3.
- The level of a pollutant in the river next to a chemical factory is monitored at regular intervals. Over the course of years, the level of the pollutant was determined by chemical analysis. In recent years, the company has made some changes in the factory where increases in the pollutant level can be observed. The environmental protection organization (EPA) wants convincing evidence that the level of the pollutant has not increased. By creating the relevant null and alternative hypotheses, I. type and II. describe type errors.A study is run to evaluate the effectiveness of an exercise program in reducing systolic blood pressure in patients with pre-hypertension (defined as a systolic blood pressure between 120-139 mmHg or a diastolic blood pressure between 80-89 mmHg). A total of 7 patients with pre-hypertension enroll in the study, and their systolic blood pressures are measured. Each patient then participates in an exercise training program where they learn proper techniques and execution of a series of exercises. Patients are instructed to do the exercise program 3 times per week for 6 weeks. After 6 weeks, systolic blood pressures are again measured. The data are shown below. Is there is a difference in systolic blood pressures after participating in the exercise program as compared to before? State the hypotheses. What statistical test should be used to determine if there is a difference in systolic blood pressures before and after the exercise program? Determine the appropriate critical value and set…A variable of two populations has a mean of 20and a standard deviation of 18 for one of the populations and a mean of 20 and a standard deviation of 40 for the other population. a. For independent samples of size 9 and 25, respectively, find the mean and standard deviation of x1−x2. (Assume that the sampling is done with replacement or that the population is large enough.) The mean of x1−x2 is 0 (Type an integer or a decimal. Do not round.) The standard deviation of x1−x2 is ___________. (Round to four decimal places as needed.)
- The chi square statistics please answer and show work on solving x2 critical value and x2A company utilizes two different machines to manufacture parts of a certain type. During a single shift, a sample of n = 20 parts produced by each machine is obtained, and the value of a particular critical dimension for each part is determined. The comparative boxplot below is constructed from the resulting data. (View Pic) Compare and contrast the two samples. (Select all that apply.) There are no outliers present. A typical value is much larger for machine 1 than for machine 2. Machine 2's sample values have considerably more variation than machine 1's sample values. The only outlier that exists is from machine 2. A typical value seems to be about the same for the two machines. Machine 1's sample values have considerably more variation than does machine 2's sample values. A typical value is much larger for machine 2 than for machine 1. The only outlier that exists is from machine 1. Machine 1 and machine 2's sample values have about the same amount of variation.Regarding Inferential Statistics I can not figure out how to find a critical value.