The per capita consumption of chicken rose from 36.9 pounds in 1965 to 90.1 pounds in 2015 according to a chicken advocacy group. Suppose the organization wishes to estimate the mean chicken consumption for the year 2016. The accompanying table contains the data. Complete parts a and b below.

a. Calculate the mean and standard deviation of the amount of chicken consumed by the individuals in the sample.

The mean is

84.740

84.740 lb.

(Round to three decimal places asneeded.)

The standard deviation is

25.126

25.126 lb.

(Round to three decimal places asneeded.)

b. Calculate a 95% confidence interval for the 2016 per capita consumption of chicken.

The 95% confidence interval is ____________ lb to __________ lb.

(Round to three decimal places asneeded.)

113 89 82 106 50 116 61 63 65 61 88 105 104 92 137 86 99 40 85 104 60 91 85 94 124 63 74 114 103 46 116 117 114 59 120 135 99 72 68 67 77 48 97 85 111 90 130 126 76 66 124 76 90 56 107 60 69 95 78 78 102 52 94 83 70 86 67 58 72 106 54 95 121 44 52 90 123 37 87 61 78 68 104 67 139 89 76 98 79 71 46 12 77 65 68 113 87 70 112 95