Solve all (a) Construct a 99% two-sided confidenceinterval on the mean temperature. Round totwo decimal places (e.g. 98.76).isus(b) Construct a 95% lower-confidence boundon the mean temperature. Round to twodecimal places (e.g. 98.76).iεμ(c) Suppose that we wanted to be 95%confident that the error in estimating themean temperature is less than 2 degreesCelsius. What sample size should be used?n =(d) Suppose that we wanted the total widthof the two-sided confidence interval on meantemperature to be 1.5 degrees Celsius at95% confidence. What sample size should beused?n= Please use the accompanying Excel data setor accompanying Text file data set whencompleting the following exercise.An article in the Journal of Agricultural Science["The Use of Residual Maximum Likelihoodto Model Grain Quality Characteristics ofWheat with Variety, Climatic and NitrogenFertilizer Effects" (1997, Vol. 128, pp. 135-142)] investigated means of wheat graincrude protein content (CP) and Hagbergfalling number (HFN) surveyed in the UK.The analysis used a variety of nitrogenfertilizer applications (kg N/ha), temperature(°C), and total monthly rainfall (mm). Thedata shown below describe temperatures forwheat grown at Harper Adams AgriculturalCollege between 1982 and 1993. Thetemperatures measured in June wereobtained as follows:14.1 13.7 12.2 12.3 14.8 14.716.0 13.8 12.9 12.6 14.8Assume that the population has a normaldistribution and the standard deviation isknown to be o = 0.6.(a) Construct a 99% two-sided confidenceinterval on the mean temperature. Round to

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(a) Construct a 99% two-sided confidence interval on the mean temperature. Round to two decimal places (e.g. 98.76). i sus (b) Construct a 95% lower-confidence bound on the mean temperature. Round to two decimal places (e.g. 98.76). i εμ (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? n = (d) Suppose that we wanted the total width of the two-sided confidence interval on mean temperature to be 1.5 degrees Celsius at 95% confidence. What sample size should be used? n =