A production line produces 6 per cent defectives. For a random sample of 10 components, determine the probability of obtaining: (a) no defective (b) 2 defectives (c) more than 3 defectives.

According to the Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. This year, a certain state kept track of the number of its 1325 complaints were for identity theft. They want to know if the data provide enough evidence to show that this state had a different proportion of identity theft than 23%? State the random variable, population parameter, and hypotheses. The symbol for the random variable involved in this problem is            The wording for the random variable in context is as follows:           The symbol for the parameter involved in this problem is            The wording for the parameter in context is as follows:

The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2). To test this statement, NASCAR took a random sample of 135 of the new racecar engines and 175 of the old engines. They found that 14 of the new racecar engines and 8 of the old engines failed due to overheating during the test. Does NASCAR have enough evidence to reject the manufacturer's claim about the new racecar engine? Use a significance level of α=0.01 for the test. Step 2 of 6 :   Find the values of the two sample proportions, p^1 and p^2. Round your answers to three decimal places.

Flying over the western states with mountainous terrain in a small aircraft is 40% riskier than flying over similar distances in flatter portions of the nation, according to a General Accounting Office study completed in response to a congressional request. The accident rate for small aircraft in the 11 mountainous western states is 3.5 accidents per 100,000 flight operations. (c) Find the probability of at least 2 accidents in 180,000 flight operations. (Use 4 decimal places.)

the brand name of a certain chain of coffee shops has a 6% recognition rate in the town of Coffleton. An executive from the company wants to verify the recognition rate as the company is interested in opening a coffee shop in the town. he selects a random sample of 6 Coffleton residents, find the probabilty that the number that recognize the brand name is not 4

A pharmaceutical company proposed a vaccine that would combat paralytic polio. Two independent random samples were collected from the population. One random sample of 201,229 was given the placebo, and among them 100,910 contracted paralytic polio. The other random sample of 200,745 was given the vaccine, and among them 50,033 people ended up contracting paralytic polio. Let the true proportion of cases of paralytic polio given placebo be p1p1 and the true proportion of cases of paralytic polio given vaccine be p2. Calculate the upper bound of a 95% confidence interval for p1−p2. Round your answer to three decimal places.

A study used 1259 patients who had suffered a stroke. The study randomly assigned each subject to an aspirin treatment or a placebo treatment. During a 3-year follow-up period, in Sample 1, 634 people received placebo treatments and 25 people died from heart attack. In sample 2, 625 people received aspirin treatment and 18 died from heart attack. Let pl denote the population proportion of death from heart attack for those with no treatment and p2 denote the population proportion of death from heart attack for those with aspirin treatment. (c) Which of SEO and SE1 is used for calculating a confidence interval for comparing two population proportions? Which is used for calculating the test statistic in a hypothesis test? (d) Construct the 95% confidence interval for pi – p2. Interpret.

A manufacturer produces light-bulbs that are packed into boxes of 100. If quality control studies indicate that 0.25% of the light-bulbs produced are defective, using a suitable 7. approximation, a) determine the probability of the boxes will contain no defective light-bulb. b) find the percentage of boxes which has 2 or more defective light-bulbs.

The Food and Drug Administration (FDA) regulates the amount of mercury in consumable fish, where consumable fish should only contain at most 1 mg/kg of mercury. In Florida, bass fish were collected in 58 different lakes to measure the amount of mercury in the fish from each of the 58 lakes. Do the data provide enough evidence to show that the fish in all Florida lakes have different mercury than the allowable amount? State the random variable, population parameter, and hypotheses. The symbol for the random variable involved in this problem is            The wording for the random variable in context is as follows:          The symbol for the parameter involved in this problem is            The wording for the parameter in context is as follows:

A lawn mower company will produce 1,500 lawn mowers by 2020. In an effort to determine how much maintenance-free consumers will buy when they buy lawn mowers, the company decided to conduct a study over the past 1 year of these mowers. First, a random sample was taken by contacting 200 grass mowers. The company owner provides an 800 number and is asked to contact the company when the first repair is needed for the lawn mower. Owners who no longer use lawn mowers to cut their grass are either disqualified or not sampled. After 1 year, it turned out that 187 owners had reported for the first repair. However, the other 74 disqualified themselves. The average number per year until the first improvement was 5.3 times for samples deemed feasible. It is believed that the standard deviation is 1.28 per year. If the company wants to advertise the lawnmower and with a confidence level of 95%, what is the estimated annual mean value of repair-free lawn mower for this lawn mower? What is the…