On a metal plate, the temperature at a point (x,y) is given by the function T(x, y) = 4x-4xy + y. An insect on the plate walks around the circle of radius v5 centered at the origin. What is the highest temperature felt by the insect? Select one: O A. 27 о в. 20 OC. 25 D. 24
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- A breathalyser test is used by police in an area to determine whether a driver has an excess of alcohol in their blood. The device is not totally reliable: 6 % of drivers who have not consumed an excess of alcohol give a reading from the breathalyser as being above the legal limit, while 10 % of drivers who are above the legal limit will give a reading below that level. Suppose that in fact 12 % of drivers are above the legal alcohol limit, and the police stop a driver at random. Give answers to the following to four decimal places. Part a) What is the probability that the driver is incorrectly classified as being over the limit? Part b) What is the probability that the driver is correctly classified as being over the limit? Part c) Find the probability that the driver gives a breathalyser test reading that is over the limit. Part d) Find the probability that the driver is under the legal limit, given the breathalyser reading is also below the limit.A local pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The store owner has determined that home delivery will be successful only if the average time spent on a delivery does not exceed 26 minutes. The owner has randomly selected 19 customers and delivered pizzas to their homes. What hypothesis should the owner test to show that the pizza delivery will not be successful?A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2795occupants not wearing seat belts, 36 were killed. Among 7682 occupants wearing seat belts, 15 were killed. Use a. 0.01significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test? A. H0: p1=p2 H1: p1≠p2 B. H0: p1≥p2 H1: p1≠p2 C. H0: p1=p2 H1: p1<p2 D. H0: p1≠p2 H1: p1=p2 E. H0: p1≤p2 H1: p1≠p2 F. H0: p1=p2 H1: p1>p2 Identify the test statistic. z= ? (Round to two decimal places as needed.) Identify the P-value. P-value= ? (Round to three decimal…
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- A research center claims that more than 25 % of employees in a certain country have changed jobs in the past four years. In a random sample of 260 people from that country, 78 have changed jobs in the past four years. At alpha equals0.05 , is there enough evidence to support the center's claim? Complete parts (a) through (e) below. (a) Identify the claim and state Upper H 0 and Upper H Subscript a . Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At most nothing % of employees in the country have changed jobs in the past four years. B. More than nothing % of employees in the country have changed jobs in the past four years. C. nothing % of employees in the country have changed jobs in the past four years. D. The percentage of employees in the country who have changed jobs…choose the corect answer and give brief explaination, this simple question thats why i make it as one question PT. ABCD has factories in 2 locations, namely in New York and New Jersey. To test whether there is a difference in the daily productivity of the two factories, a sample of 20 days of production was taken from each factory. Then the hypothesis being tested is ... Ho: u1 = u2 vs Ha: u1 > u2 All of the above is true Ho: u1 = u2 vs Ha: u1 not the same as u2 Ho: u1 = u2 vs Ha: u1 < u2 Of a random sample of 64 businessmen, 48 were classified as "successful". If it is known that the population proportion is 0.70, then the standard error of the proportion estimator is 0.0772 0.8728 0.0572 0.0033A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2841occupants not wearing seat belts, 32 were killed. Among 7609 occupants wearing seat belts, 19 were killed. Use a 0.05significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test? A. Identify the test statistic. z=_____ (Round to two decimal places as needed.) B. Identify the p-value. P= ____. (Round to three decimal places as needed). C. What is the conclusion based on the hypothesis test? P-value greater/less than significance level, so reject/fail to reject null hypothesis. There is/is not sufficient evidence to support claim. D.…
- A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects of 40 taxis and finds the average age of the taxis is 8.2 years. The of the population is 2.3 years. At can it be concluded that the average age of the taxis in his company is less than the national average?Due to a manufactoring error, three cans of regular soda were accidently filled with diet soda, placed into a 12-pack. Suppose that two cans were randomly selected from the 12-pack. A) determine the probabilty that that neither contain diet soda. Would this be unusual? B) Determine the probabilty that exactly one is diet.