A local councillor claims that the average weekly rent of a one-bedroom apartment is less than $200. A random sample of 45 one-bedroom apartments yielded a 95% confidence interval from $192 to $247 for the mean weekly rent. With reference to the above confidence interval, we can conclude that:Select one:a.the data support the councillor’s claim.b.the data contradict the councillor’s claim.c.the data do not contradict the councillor’s claim.d.there is evidence that the councillor’s claim is correct.

Monthly rent was determined for each apartment in a random sample of 100 apartments. The sample mean was$820 and the sample standard deviation was $25. An approximate 95 percent confidence interval for the truemean monthly rent for the population of apartments from which this sample was selected is ($815, $825). Whichof the following statements is a correct interpretation of the 95 percent confidence level?(A) In this population, about 95 percent of all rental prices are between $815 and $825.(B) In this sample, about 95 percent of the 100 rental prices are between $815 and $825.(C) In repeated sampling, the method produces intervals that include the population mean approximately95 percent of the time.(D) In repeated sampling, the method produces intervals that include the sample mean approximately 95 percentof the time.(E) There is a probability of 0.95 that the true mean is between $815 and $825.

A random sample of 160 households is selected to estimate the mean amount spent on electric service. A 95% confidence interval was determined from the sample results to be ($151, $216). Which of the following is the correct interpretation of this interval? There is a 95% chance that the mean amount spent on electric service is between $151 and $216. We are 95% confident that the mean amount spent on electric service among the 160 households is between $151 and $216. 95% of the households will have an electric bill between $151 and $216. We are 95% confident that the mean amount spent on electric service among all households is between $151 and $216

Consider the following summary of a data set on the weekly earnings (in hundreds of dollars) of residents of NSW with a colleague degree: Number of observations : 25 Sample mean : 20.5 Sample standard deviation : 8 We assume that the weekly earning in the population is normally distributed with unknown mean and unknown variance. Please select the correct 95% confidence interval for the mean of the weekly earning (in hundreds of dollars) in the population. Group of answer choices [17.2, 23.8] [17.8, 23.2] [19.8, 21.2] [20.0, 21.0] [6.8, 34.2]

A study was commissioned to find the mean weight of the residents in certain town. The study examined a random sample of 127 residents and found the mean weight to be 151 pounds with a standard deviation of 21 pounds. At the 95% confidence level, use the normal distribution/empirical rule to estimate the margin of error for the mean, rounding to the nearest tenth.

A study was commissioned to find the mean weight of the residents in certain town. The study examined a random sample of 51 residents and found the mean weight to be 176 pounds with a standard deviation of 36 pounds. At the 95% confidence level, use the normal distribution/empirical rule to estimate the margin of error for the mean, rounding to the nearest tenth.