Question

A large software company gives job applicants a test of programming ability and the mean for that test has been 160 in the past. Twenty-five job applicants are randomly selected from a large university and they produce a mean score of 183 and standard deviation of 12. Use a 0.05 significance level to test whether the mean score for students from this university is greater than 160.

H0:

H1:

Which is the claim, null, or alternative hypothesis?

Critical t value:

Test value (statistic):

Conclusion: reject the null or do not reject the null?

Summary:Is there or not? enough evidence to (support/reject) the claim?

Answer 1

The null and alternative hypothesis is, Ho: U=160 v/ H: e2160 Given, n=25, x= 183, s=12 critical value at x = 0.05 is, to-1;& t24;0.05- = 1.711 - from t-table The test statistic is, X-u t = u tn-l s/n 183-160 t24 こ 12/25 t24= - 9.58 conclusion: regeet the null hypothesis, 1+34) = 9.58 > 1324; 0.051-1711 since There is enough evidence to support the claim that mean score forstudents from this university is greater than 160.