Alarge 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 one large university and they produce a mean score and standard deviation of 183 and 12, respectively. use a 0.05 level of significance to test the claim that this sample comes from a population with a mean score greater than 160.

Step-by-step explanation:

Mean of the test of programming ability was 160 in the past.

Again now, twenty-five job applicants are randomly selected from one university and they produce a mean score and standard deviation of 183 and 12.

So in this case, the null hypothesis will be,

and alternate hypothesis will be,

Mean of the sample = = 183

Standard deviation of the sample = = 12

sample size = n = 25

Using t distribution,

P-value =

As the obtained value is less than 0.05 or 5% level of significance, so we have to reject the null hypothesis.

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step-by-step explanation:

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