Question

You wish to test the following claim (H) at a significance level of a = 0.10. Họ: A = 82.4 H: > 82.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 87.8 79.2 79.2 87.8 76.9 99.3 86.7 91.3 87.4 88.7 78.6 84

Answer 1

Answer:

Given,

Ho : u = 82.4

Ha : u > 82.4

Mean = 85.575

Standard deviation = 6.418

alpha = 0.10

Sample n = 12

Critical value = 1.363

test statistic t = (x - u)/(s/sqrt(n))

substitute values

= (85.575 - 82.4)/(6.418/sqrt(12))

= 1.714

P value = 0.057265

= 0.057

Here we observe that, p value < alpha,

so we reject Ho.

So there is sufficient evidence to support the claim.