The distribution of amount spent per purchase in 2020 at Japanese convenience stores, called konbini, is skewed to the right with mean 670 Japanese yen and standard deviation 360 yen. A random sample of 36 customer receipts from all purchases at konbini in 2020 was selected, and the mean purchase amount was calculated. Suppose the process of randoml selecting 36 customer receipts from purchases at konbini in 2020 was repeated to obtain the sampling distribution of the sample mean. Which of the following is the best description of this distribution? (A) The distribution is skewed to the right with mean 670 yen and standard deviation 360 yen. (B) The distribution is skewed to the right with mean 670 yen and standard deviation 60 yen. (C) The distribution is approximately normal with mean 670 yen and standard deviation 60 yen. (D) The distribution is approximately normal with mean 670 yen and standard deviation 36 yen. (E) The distribution is approximately normal with mean 670 yen and standard deviation 10 yen.

A report announced that the median sales price of new houses sold one year was $231,000,and the mean sales price was $271,600.Assume that the standard deviation of the prices is $90,000. Complete parts(a)through(d)below. ·○ (a) If you select samples of n=2,describe the shape of the sampling distribution of X. Choose the correct answer below. OA.The sampling distribution will be approximately uniform. O B.The sampling distribution is skewed to the right,but less skewed to the right than the population. OC.The sampling distribution will be approximately normal. OD.The sampling distribution will depend on the specific sample and will not have a constant shape.

Suppose we take repeated random samples of size 20 from a population with a mean of 60 and a standard deviation of 8. Which of the following statements is true about the sampling distribution of the sample mean (x̄)? Check all that apply. The distribution is normal regardless of the shape of the population distribution, because the sample size is large enough. The distribution will be normal as long as the population distribution is normal. The distribution's mean is the same as the population mean 60. The distribution's standard deviation is larger than the population standard deviation of 8.

A distribution of a single statistic from repeated random samples of the same size from the same population refers to which of the following?Group of answer choicesDistribution of summary statisticsRandom samplingDistribution of population parametersThe normal curveSampling distribution of a statistic

Which of the following best describes the sampling distribution of a statistic?Group of answer choicesA distribution of all parameters from the population that is to be randomly sampled.A normal curve, for which probabilities are obtained by standardizing.The mechanism that determines whether the random sampling was effective.A distribution of all possible summary statistics from a single random sample, from the same population.A distribution of a single statistic from repeated random samples of the same size, from the same population.

A Telecom service provider claims that individual customers pay on an average 400 rs. per monthwith standard deviation of 25 rs. A random sample of 50 customers’ bills during a given month istaken with a mean of 250 and standard deviation of 15. What to say with respect to the claim madeby the service provider?