The yield of a chemical process is being studied. The two most important variables are thought to be pressure and the temperature. Three levels of each factor are selected, and a factorial experiment with the two replicates is performed. The yield data follow: Question: (Use Alpha = 0.05) Is there any indication that either factor influences brightness? Do the two factors interact
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The yield of a chemical process is being studied. The two most important variables are thought to be pressure and the temperature. Three levels of each factor are selected, and a factorial experiment with the two replicates is performed. The yield data follow:
Question: (Use Alpha = 0.05)
-
Is there any indication that either factor influences brightness?
-
Do the two factors interact?
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- Classify the statement below that is either descriptive statistics or statisticalinferencei. Assuming that less than 20% of the coconut plantation in the Philippines weredestroyed after a typhoon “Yolanda”, we should expect an increase of coconut oils at30% after the third month.ii. At least 10% of all floods reported in 2020 are caused by release of water from thedams during heavy rainfall.a. Descriptive statistics and Descriptive statisticsb. Descriptive statistics and Statistical inferencec. Statistical inference and Statistical inferenced. Statistical inference and Descriptive statisticsNominal income refers to an income value that is not adjusted for inflation. Real income adjusts the nominal value for the rate of inflation. Real income per capita is considered a good measure of the buying power of an individual in a particular area because it adjusts for both the number of people in the area and the relative inflation of the area. According to Forbes magazine, the state with the highest annual real income per capita in 2020 is Connecticut with a real per capita income of $68,533. Suppose that the annual real income of individuals in Connecticut follows a normal distribution with a mean of $68,533 and standard deviation of $23,480. (a) What is the probability that an individual in Connecticut has an annual real income of $54,000 or more? (Round your answer to four decimal places.) (b) What is the probability that an individual in Connecticut has an annual real income of $29,000 or less? (Round your answer to four decimal places.) (c) What is the probability…An environmentalist monitored the water quality of a river in city Xby measuring the conductivity of the river monthly. The conductivity of a water body is an early indicator of the water quality. Owing to implementation of activities which were harmful to the nature such as an oil spill, the conductivity in µS/cm of the river decreased. However, a continuous cleaning up plan had been carried out for the river from January until April 2020 and the conductivity measurement for the months had improved as follows: a1, a2, a3, a4, a5…, an 3, 12, 27, 48, 75, …., an 1. Let an represents the conductivity for nmonths since January 2020. By using n in the formula, determine the formula to represent the conductivity sequence, an. 2.What is the estimated conductivity for January 2021? 3. By assuming bn-1= an - an-1, the monthly improvement of conductivity can be represented by the following sequence. Based on the given sequence, determine bn. b1, b2, b3, b4, …, bn = (12-3), (27-12), (48-27),…
- A country club wants to exam the effects of a new marketing campaign that attempts to get more people within the community to become members. In many communities, when people buy a house in the area, they receive a “Welcome Wagon” gift basket containing coupons to local restaurants. The idea of the marketing campaign is to include a free two month membership to the country club in the gift basket with the hope that once “new” residents try the country club then at least a certain proportion will want to become real members. One member of the Club’s Executive Council believes that at least 79% of the people who receive the coupons for the free membership will use the coupon. In a sample of 204 new residents who received the coupon for the two month free membership, there were 144 people who actually took advantage of the free two month membership. When testing the hypothesis that at least 79% of the people that receive the coupon actually use it, what is the test statistic? (please…A country club wants to exam the effects of a new marketing campaign that attempts to get more people within the community to become members. In many communities, when people buy a house in the area, they receive a “Welcome Wagon” gift basket containing coupons to local restaurants. The idea of the marketing campaign is to include a free two month membership to the country club in the gift basket with the hope that once “new” residents try the country club then at least a certain proportion will want to become real members. One member of the Club’s Executive Council believes that at least 79% of the people who receive the coupons for the free membership will use the coupon. In a sample of 204 new residents who received the coupon for the two month free membership, there were 137 people who actually took advantage of the free two month membership. When testing the hypothesis that at least 79% of the people that receive the coupon actually use it, what is the test statistic?A plumber has recorded the unit price and quantities sold of three models of the sinks for 2018 and 2019. In 2018 Model A: sold for R 250 with 10 units Model B: sold for R 350 with 20 units Model C: sold for R 450 with 25 units In 2019 Model A: sold for R 200 with 15 units Model B: sold for R 400 with 30 units Model C: sold for R 300 with 20 units Calculate the composite quantity index for 2019 with 2018 as the base period (Give your answer in percentage format (do not include % sign) and Round off your final answer to 1 decimal places) (1) The Lasperyres weighted aggregate (2) The Paasche weighted aggregate method
- Some bottles of bubble bath have gone past their expiration date. The employees want to know if the expired bubble bath produces a significantly different amount of bubbles. They know that a fresh bottle of bubble bath produces a 124 cubic inches (in3) of bubbles with a SD of 8 in3. After testing 16 bottles, they find the average expired bottle produces 130 in3 of bubbles. Imagine we KNOW that a treatment does not actually have an effect but the researcher concludes there is an effect.You have collected data on a firm’s sales (in units) for a product line during the past 16 weeks. Using the following forecasting technique, determine the forecast for period 17, 18, 19, and 20?: Additive seasonality (assume 5th month demand to be 240 unitsMurder was committed in an air-conditioned laboratory. Dr. Quincy, the medical examiner, was summoned to the scene of the crime. One of the first things he did was to take the temperature of the corpse. At 9:23 PM, he recorded the temperature to be 20.1oC and at 9:53 Pm to be 18.7oC. He further observed that the thermostat of the air-conditioning unit was set at 16oC. After gathering all pertinent data and analyzing them for sometime, he submitted a preliminary report stating that the victim was murdered between 7 PM and 8 PM. Was Dr. Quincy's report correct? At what approximate time did the victim die? Assume that the normal body temperature of a human being, alive and well, is 37oC.
- A manufacturer of aluminum cans measured the level of impurities in24 cans. The amounts of impurities, in percent, were as follows. 9.4 1.4 4.6 5.6 5.1 2.8 4.1 3.4 6.8 4.1 1.8 4.2 4.3 2.2 4.8 5.0 3.8 5.3 1.2 6.2 4.1 2.4 2.9 3.4 need part 2How much does the predicted home value increases if the school rating increases by 1 from 9? School Rating (out of 10) Home value in 100k 9 19 6 14 7 16 5 12 8 15 by 100k by 150k by 200k by 250kHome values in a town have declined 27 % per year for each of the past four years. What was the total percentage decrease in home values during the four-year period?