A botanist wishes to estimate the typical number of seeds for a certain fruit. She samples 58 specimens and counts the number of seeds in each. Use her sample results (mean = 82.4, standard deviation = 14.1) to find the 80% confidence interval for the number of seeds for the species. Enter your answer as an open-interval (i.e., parentheses) accurate to one decimal place (because the sample statistics are reported accurate to one decimal place). 80% C.I. =  Answer should be obtained without any preliminary rounding.

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A botanist wishes to estimate the typical number of seeds for a certain fruit. She samples 58 specimens and counts the number of seeds in each. Use her sample results (mean = 82.4, standard deviation = 14.1) to find the 80% confidence interval for the number of seeds for the species. Enter your answer as an open-interval (i.e., parentheses) accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).

80% C.I. = 

Answer should be obtained without any preliminary rounding.

Expert Solution
Step 1

Given data

Mean = 82.4

Standard deviation = 14.1

Sample size(n) = 58

Confidence level  = 80%

Degree of freedom  = n-1 = 58 - 1 = 57

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