A particular resource class must perform at a level consistent with the rest of

Question

A particular resource class must perform at a level consistent with the rest of the school to avoid being discontinued. On the first quarter statewide test, the mean score of the school was 78. The 14 students in the resource class had a 71.86 mean test score and a 17.52 standard deviation. The district informs the principal that the class should be discontinued because the average is below that of the rest of school. Is this reasonable or does the principal have evidence to support an argument against this decision? -...dante maina rnmments under the general

Explanation / Answer

Below are the null and alternate hypothesis
H0: mu = 78
Ha: mu < 78

This is left tailed t - test
Critical value of test statistic is -1.7709

Here, n = 14 , xbar = 71.86 , mu = 78 and s = 17.52

Test statistic,
t = (xbar - mu)/(s/sqrt(n))
t = (71.86 - 78)/(17.52/(sqrt(14))
t = -1.3113

p-value = 0.1062
As p-value is not less than the significance level, we fail to reject the null hypothesis.

Yes, principal has evidence to support an argument against this decision.

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