A concrete factory produces ten types of concrete products shown in the table below. The concrete products have the same standard deviation but different mean weights. Accordingly, the concrete product type (3) has the least relative * .variation
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- A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. BIG Corporation would like to estimate the mean amount of coffee, μ, dispensed per cup by this machine. BIG will choose a random sample of cup amounts dispensed by this machine and use this sample to estimate μ. Assuming that the standard deviation of cup amounts dispensed by this machine is 0.42 ounces, what is the minimum sample size needed in order for BIG to be 99% confident that its estimate is within 0.08 ounces of μ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).Let's consider the annual precipitation levels in Los Angeles county. Suppose the average annual precipitation in LA county is normally distributed with a mean of 15 inches and a standard deviation of 3 inches. We can classify the precipitation levels in the following way: Dry Annual precipitation is more than 1 standard deviation below the mean. Normal Annual precipitation is less than 1 standard deviations below the mean and less than 2 standard deviation above the mean. Humid Annual precipitation is more than 2 standard deviations above the mean. Before answering the following questions it may be helpful to mark on a bell shaped curve where the above regions lie. According to the empirical rule, what is the probability of experiencing a Dry year in Los Angeles? According to the empirical rule, what is the probability of experiencing a Humid year in Los Angeles? According to the empirical rule, what is the probability of experiencing a Normal year in Los…solve for image and find critical values
- What is the standard deviation of the data {7, 1, 7, 10, 5, 3, 2}?A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain.BIG Corporation would like to estimate the mean amount of coffee, μ, dispensed per cup by this machine. BIG will choose a random sample of cup amounts dispensed by this machine and use this sample to estimate μ. Assuming that the standard deviation of cup amounts dispensed by this machine is 0.42 ounces, what is the minimum sample size needed in order for BIG to be 90% confident that its estimate is within 0.07 ounces of μ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).A citizen in search of work sent to three different organizations, probability of getting an invitation to the interview from the first company equals 0.1 from the second one-0.6 and from the third one - 0.3 find the main value variance, mean square deviation, mide and median of the number of companies, given the positive answer
- Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 43 passengers, and a flight has fuel and baggage that allows for a total passenger load of 7,009 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 7,009 lb / 43 =163 lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 182.4 lb and a standard deviation of 38.4.A manufacturer of rechargeable batteries took a sample of 16 batteries from day’s production and used them continuously until they were worn out. The number of recharged until failure were: 20, 25, 26, 27, 20, 26, 31, 32, 22, 19, 20, 22, 28, 29 26, and 28.: (2 decimal places only) Find the: mean median modeA study was conducted to examine how anxiety (measured on a metric scale) varies for people from different age groups (<18 years, 19 - 29 years, 30 - 39 years, 40+ years). It was hypothesised that people <18 years old would have the least anxiety of the four age groups. It was also hypothesised that people 40+ years old would have more anxiety than people 19-29 years old. Which of the following would be an appropriate statistical test to conduct, which addresses these hypotheses? Group of answer choices: Factorial ANOVA Multiple Regression Mixed ANOVA Single factor ANOVA Within Subjects ANOVA
- Researcher wanted to determine if carpeted rooms containe more bacteria than uncarpted rooms. Colonies of bacteria were allowed to form in the 16 Petri dishes. A normal probality plot and boxplot indicate that the data are aproximately normally distributed with no outliers. Do carpted rooms have more bacteria than uncarpted roomz at the a= 0.05 level of signicance? carpeted rooms (bacteria/cubic foot) 11.8, 8.2, 7.1, 13, 10.8, 10.1 14.6, 14 uncarpted room( bacteria/cubic foot) 12.1, 8.3, 3.8, 7.2, 12, 11.1 10.1 13.7 a) Is this independent or dependent sampling? b) State the null and alternative hypotheses c) P-value: d) state your conclusion in the langauage of the problem.A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to do a statistical test regarding the mean monthly mileage, µ, of car rented in the U.S. this year. The consumer group has reason to believe that the mean monthly mileage of cars rented in the U.S. this year is different from last year’s mean, which was 2700 miles. The group plans to do a statistical test regarding the value of µ. It chooses a random sample of monthly mileages and computes the mean of the sample to be 2565 miles and the standard deviation to be 800 miles. What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test? H0: µ is ____ __? __ H1: µ is ____ __ ? ___ In the context of this test, what is a Type II error? A Type II error is ?________ ___ the hypothesis that µ is ? _____ ? when, in fact, µ is ? ____ Suppose that the group decided to reject the null…A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. BIG Corporation would like to estimate the mean amount of coffee, H, dispensed per cup by this machine. BIG will choose a random sample of cup amounts 00 dispensed by this machine and use this sample to estimate H. Assuming that the standard deviation of cup amounts dispensed by this machine is 0.43 ounces, what is the minimum sample size needed in order for BIG to be 95% confident that its estimate is within 0.07 ounces of µ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.)