Problem 4. A government contractor is required to produce a part that has a mean service life greater than 2000 hours. 1. What would the hypothesis be if the government was trying to prove that the mean service life was actually less than 2000 hours? 2. What would the hypothesis be if the contractor needed to prove that it was meeting the requirement?
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- Question 4(A)A and C mall is a busy centre for residents in East Legon and itssourrounding community. Assume that 2 customers arrive every 12 minutesand 3 customers are served every 15 minutes and that currently, there is onlyone cashier.a) Determine the average waiting time in minutes before service begins. b) Advice the management the proportion of the time that a customer hasto wait. (B). Management perceives that the waiting time computed in (ii) above isnot acceptable and is faced with two options.Management can either employ an assistant for the cashier or open a secondcash machine.The former, if implemented, will enable 4 requests to be served every 15minutes and the assistant will receive a monthly salary of GH₵160. Thelatter, if implemented will improve the arrival rate to 1 customer every 12minutes.However, it requires an initial capital outlay of GH₵3000 and the cashierwho will operate the cash machine will receive a monthly salary of GH₵250.The shop avoids a loss in…5. For this problem, be sure to show your calculations in addition to your final answer. Use the methods that are shown in the class videos and readings. A Pew Research study from September 2021 asserts that 44% of American adults found text messaging to be very helpful in staying connected with friends and family since the beginning of the Coronavirus outbreak. They also asserted that 38% of American adults found voice calls to be very helpful in staying connected during that time. Suppose that this is true and that 23% of American adults found both text messaging and voice calls to be very helpful in staying connected during that time. a. If one American adult is randomly selected, what is the probability that they did not find either of the above methods to be very helpful in staying connected during that time? b. If three American adults are randomly selected, what is the probability that all three found text messaging to be very helpful in staying connected? c. Out of the American…Ex 9. Suppose that a national survey finds that 73 percent of restaurant employees say that work stress has a negative impact on their personal lives. A random sample of 200 employees of a large restaurant chain finds that 141 employees say that work stress has a negative impact on their personal lives. a. Formulate the null and alternative hypotheses needed to attempt to provide evidence that the percentage of work-stressed employees for the restaurant chain differs from the national percentage. b. Use critical values to perform the hypothesis test by setting α equal to .10, .05, .01, and .001
- 2. A leading researcher in the study of interstate highway accidents proposes that a major cause of many collisions on the interstates is not the speed of the vehicles but rather the difference in speeds of the vehicles. When some vehicles are traveling slowly while other vehicles are traveling at speeds greatly in excess of the speed limit, the faster-moving vehicles may have to change lanes quickly, which can increase the chance of an accident. Thus, when there is a large variation in the speeds of the vehicles in a given location on the interstate, there may be a larger number of accidents than when the traffic is moving at a more uniform speed. The researcher believes that when the standard deviation in speed of vehicles exceeds 10 mph, the rate of accidents is greatly increased. During a 1-hour period of time, a random sample of 50 vehicles is selected from a section of an interstate known to have a high rate of accidents, and their speeds are recorded using a radar gun. The data…Question 3 Shoprite is a busy center for residents in East Legon and its surrounding community. Assume that 2 customers arrive every 12 minutes and 3 customers are served every 15 minutes and that currently, there is only one cashier. (i).Determine the average waiting time in minutes before service begins. (ii). Advice the management the proportion of the time that a customer has to wait. (B). Management perceives that the waiting time computed in (ii) above is not acceptable and is faced with two options. Management can either employ an assistant for the cashier or open a second cash machine. The former, if implemented, will enable 4 requests to be served every 15 minutes and the assistant will receive a monthly salary of GH₵160. The latter, if implemented will improve the arrival rate to 1 customer every 12 minutes. However, it requires an initial capital outlay of GH₵3000 and the cashier who will operate the cash machine will receive a monthly salary of GH₵250. The shop…A mining company finds that daily lost-work injuries averages to 1.2. If the local union contract has a clause requiring that the mine be shut down as soon as three workers incur lost-work injuries, on what percentage of the days will the mine be operational throughout the day?
- State the type of variable in each of the following cases 1- 5.1. The weight (Kg) of an Amazon package.2. The stress level (Low, Average, High) of a student taking this exam.3. The number of Long Covid-19 patients in England in 2021.4. Type of vaccine (Pfizer, AstraZeneca, Moderna).5. The annual profits (£m) of the JSA company in 2021.Your answer should be A, or B or C or D, where A, B, C, and D are defined asfollows:A. Numerical and DiscreteB. Numerical and ContinuousC. Categorical and NominalD. Categorical and Ordinal(Please answer 2nd question ) 1. Assume that there are two types of driver: One is careful and has a 0.1% of being in an accident. The other type is careless and has a 1% chance of being in an accident. Assume that each type represents 50% of the population. If there is a law mandating that all drivers buy insurance that would cover $100,000 in damages, the actuarially far premium for all drivers would be ________ while if there were no such law, the fair premium would be __________. Group of answer choices A) $100, $1,000 B) $100, somewhere between $100 and $1,000 C) $550, somewhere between $550 and $1,000 D) $550, 1,000 Ans :- option c ). 2. The term(s) used to describe the problem(s) that make the actuarially fair premiums different in the two cases in the question above is(are) Group of answer choices A) Asymmetric information B) Moral hazard C) Adverse selection D) A, B, and C E) A and CD.5.
- 11. There is a theory that people who drink caffeine can run longer than those who do not. To test this theory a random sample of seven people who drink caffeine and a random sample of seven people who do not drink caffeine was obtained and their length of time they could run non-stop was measured, in seconds. Non-Caffeine drinkers 359 280 138 227 203 184 231 Caffeine drinkers 394 477 439 428 391 488 454 a. At the 5% significance level, can you conclude that those who drink caffeine can run longer than those who do not? b. Are the samples independent or dependent? c. If independent, would using dependent samples have been better? Why or Why not? If depen- dent, explain why dependent samples were used.4. An experimenter studies vision in low light by having participants sit in a darkened room for 5, 15, or 25 minutes and then tests their ability to correctly identify 20 objects. What is te independent variable? Give the levels of the independent varibale - What is the level of measurement of the independent variable? What is the dependent variable? - What is the level of measurement of the dependent variable? - Would you use the values from the independent variable or the dependent variable to create a frequency distribution?