a) mean = 28.9833
standard error = std.dev./sqrt(n)
= 0.3601/sqrt(6) = 0.1470
b) t value at 95% = 2.5706
CI = mean + /- t * SE
= 28.9833 +/- 2.5706 * 0.1470
= (28.6054,29.3612)
c)
H0 : mu = 28.3
Ha : mu > 28.3
Test statistics:
t = ( x - mean) / ( s/sqrt(n))
= ( 28.9833 - 28.3) / (0.3601/sqrt(6))
= 4.6480
P value = .0028
d)
By confidence interval it does not contain null hypothesis so,we
reject the null hypothesis
By p value we reject the null hypothesis because p value is less than 0.05 significance level
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