An article in the Journal of Agricultural Science ["The Use of Residual Maximum Likelihood to Model Grain Quality Characteristics of Wheat with Variety, Climatic and Nitrogen Fertilizer Effects" (1997, Vol. 128, pp. 135-142)] investigated means of wheat grain cru protein content (CP) and Hagberg falling number (HFN) surveyed in the UK. The analysis used a variety of nitrogen fertilizer applications (kg N/ha), temperature (°C), and total monthly rainfall (mm). The data shown below describe temperatures for wheat grown at Harper Adams Agricultural College between 1982 and 1993. The temperatures measured in June were obtained as follow 13.7 12.7 14.8 14.4 14.4 15.0 15.4 14.8 13.2 14.0 12.2 Assume that the population has a normal distribution and the standard deviation is known to be a = 0.7. (a) Construct a 99% two-sided confidence interval on the mean temperature. Round to two decimal places (e.g. 98.76). sus (b) Construct a 95% lower-confidence bound on the mean temperature. Round to two decimal places (e.g. 98.76). sp (c) Suppose that we wanted to be 95% confident that the error in estimating the mean temperature is less than 2 degrees Celsius. What sample size should be used?

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