The data below are yields for two different types of corn seed that were used on

Question

The data below are yields for two different types of corn seed that were used on adjacent plots of land. Assume that the data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval est mate o the difference between type and pe y eds. Nhat does e con dence ter a suggest a ou ar mer oes a m hat pe seeds better than type 2 seed? Type 1 2059 1916 2093 2382 2225 2007 2139 14642 Type 2 2098 1912 2063 2416 2123 1906 2145 1492 In this example, ?d s the mean value of the differences d or the population o all pairs of data, where each individua difference d is define as h pe 1 see e minu ve 2 see ed The 95% confidence interval is

Explanation / Answer

Solution:-

Difference = type 1 - type 2
= -39,4,30,-34,102,101,-6,-28

=> x = 16.25 , s = 57.2033, n = 8, df = 7

t = 2.365

=> The 95% confidence interval is

= x +/- t*s/sqrt(n) = 16.25 +/- 2.365*57.2033/sqrt(8)
= -31.58 , 64.08(rounded)

  

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