To estimate the average cost of flowers for summer weddings in a certain region, a journalist selected a random sample of 15 summer weddings that were held in the state. A graph of the sample data showed an approximately symmetric distribution with no outliers. The sample mean and standard deviation were $734 and $102, respectively. The journalist will create a 95 percent confidence interval to estimate the population mean. Have all conditions for inference been met?     Yes, all conditions have been met. A No, the 15 weddings in the sample were not selected at random. B No, the sample size is not large enough to assume the sampling distribution of sample means is approximately normal. C No, because the graphical display is approximately symmetric it cannot be assumed that the sampling distribution of sample means is approximately normal. D No, the sample size of 15 is not less than 10 percent of all weddings in the state. E

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To estimate the average cost of flowers for summer weddings in a certain region, a journalist selected a random sample of 15 summer weddings that were held in the state. A graph of the sample data showed an approximately symmetric distribution with no outliers. The sample mean and standard deviation were $734 and $102, respectively. The journalist will create a 95 percent confidence interval to estimate the population mean. Have all conditions for inference been met?

 
 
  • Yes, all conditions have been met.

    A
  • No, the 15 weddings in the sample were not selected at random.

    B
  • No, the sample size is not large enough to assume the sampling distribution of sample means is approximately normal.

    C
  • No, because the graphical display is approximately symmetric it cannot be assumed that the sampling distribution of sample means is approximately normal.

    D
  • No, the sample size of 15 is not less than 10 percent of all weddings in the state.

    E

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