A random sample of 21 students' IQ scores has a mean score of 100.57 and a standard deviation of 6.78. Is there sufficient evidence to support the claim that this sample of students has a greater than the average IQ of 98? Use a 0.10 significance level.
The null and alternative hypothesis would be:
H_(0): μ <= 98, H_(0): p <= 24.5, H_(0): p = 24.5, H_(0): p >= 24.5, H_(0): μ = 98, H_(0): μ >= 98
H_(1): μ > 98, H_(1): p > 24.5, H_(1): p != 24.5, H_(1): p < 24.5, H_(1): μ != 98, H_(1): μ < 98
The test is:
two-tailed right-tailed left-tailed
The test statistic is:
(to 3 decimals)
The p-value is:
greater than α
less than α
Based on this we:
Reject the null hypothesis
Fail to reject the null hypothesis