Through research, a fresh produce packer has determined that out of every n=500 oranges, they should expect to see a proportion of defective oranges of = 0.049. Determine the upper limit for a p-chart (tracking proportion of defective oranges) with the sample size being n=50O. Enter your answer to three decimal places.
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- A manufacturer producing cocacola drinks wanted to set the specification of production to achieve process capability. He set his Upper Control Limit (UCL) = 0.03, proportion of defective items as 0.02. Calculate the number of sample observations (n) to be used to ensure 99.74 of the value.A state wildlife service wants to estimate the mean number of days that each licensed hunter actually hunts during a given season, with a bound on the error of estimation equal to 3 hunting days. If data collected in earlier surveys have shown a to be approximately equal to 12, how many hunters must be included in the survey?A state wildlife service wants to estimate the mean number of days that each licensed hunter actually hunts during a given season, with a bound on the error of estimation equal to 2 hunting days. If data collected in earlier surveys have shown σ to be approximately equal to 10, how many hunters must be included in the survey?
- A data set has a first quartile of 42 and a third quartile of 50. Compute the lower andupper limits for the corresponding box plot. Should a data value of 65 be consideredan outlier?A research center claims that 30% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. Identify the P-value?A medical researcher says that less than 80% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 76% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. Let p be the population proportion of successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. (a) Find the critical value(s) and identify the rejection region(s). z0=______ (b) Identify the rejection region(s). (c) Find the standardized test statistic z. z=______ (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.
- During a blood-donor program conducted during finals week for college students, a blood-pressure reading is taken first, revealing that out of 350 donors, 40 have hypertension. All answers to three places after the decimal. Covering the worst-case scenario, how many donors must we examine in order to be 95% confident that we have the margin of error as small as 0.01? Using a prior estimate of 15% of college-age students having hypertension, how many donors must we examine in order to be 99% confident that we have the margin of error as small as 0.01?A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. What is the critical value of z if we need to conclude that the population proportion with a history of intrapartum or postpartum infection is less than 0.25.A local outdoor equipment store is being sold The buyers are trying to estimate the percentage of items that are outdated. They will randomly sample among its 100,000 items in order to determine the proportion of merchandise that is outdated. The current owners have never determined their outdated percentage and can not help the buyers . Approximately how large a sample do the buyers need in order to insure that they are 99% confident that the margin of error is within 3 %?
- A recent study indicated that 20% of 133 women over age 55 in the study were widows. a. How large a sample must you take to be 95% confident that the estimate is within 0.05 of the true proportion of women over age 55 who are widows? b. If no estimate of the proportion is available, how large should the sample be?The proportion p of residents in a community who recycle has traditionally been 70% . A policy maker claims that the proportion is less than 70% now that one of the recycling centers has been relocated. If 156 out of a random sample of 245 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) Is there enough evidence to support the policy maker's claim…At any age, about 20% of American adults participate in fitness activities at least twice a week. However, these activities change as people get older, and occasionally participants cease to be older as they age. In a local survey of n = 100 adults over 40, a total of 15 people indicated that they participated in these activities at least twice a week. Does this data indicate that the percentage of participation for adults over 40 years of age is considerably less than the 20% figure? Find the p-value and use it to draw the appropriate conclusions.