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Refer to the accompanying data display that results from a simple Tlnterval random sample of times (minutes) between eruptions of the Old (35143115) Faithful geyser. The condence level of 95% was used. Complete )_( = 88.75 parts (a) through (d) below. Sx = 8.897431411 n = 36 a. What are the requirements for using the methods for the mean to construct a condence interval estimate of a population mean? 0 A. The sample is a simple random sample, the population is normally distributed, and n > 30. O B. The sample is a simple random sample, the population is normally distributed, and n s 30. O C. The sample is a simple random sample and the population is normally distributed or n > 30. O D. The sample is a simple random sample and the population is normally distributed or n S 30. b. What does it mean to say that the condence interval methods for the mean are robust against departures from normality? O A. The methods work well with distributions that are not normal, provided that departures from normality are not too extreme. The distribution should be somewhat close to symmetric, should have only one mode, and should not include outliers. O B. The methods do not work well with distributions that are not normal. 0 C. The methods only work with distributions that are not normal. 0 D. The methods work well with distributions that are not normal, provided that departures from normality are extreme. The distribution should not be symmetric or have only one mode, and should include outliers. b. Does the sample used for the accompanying data display satisfy the requirements for constructing a condence interval estimate of the population mean p? Explain. O A. No, the sample is not a simple random sample. 0 B. No, the population is not normally distributed. 0 C. Yes, the sample is a simple random sample and the sample size is 36, which is greater than 30. O D. Yes, the sample is a simple random sample and the population is normally distributed