Sociology: College Graduates – A local professor claims that college graduates i

Question

Sociology: College Graduates – A local professor claims that college graduates in his program earn an annual salary of $52,560 or more in the first year after the completion of their master’s degree. A random sample of 16 program graduates found they earned an annual salary of $50,994 in the first year after the completion of their master’s degree with a standard deviation of $521. Use a 5% error.

What is the critical value for this problem? (Points : 3)
-1.753
1.645
1.753
-1.645

Question 18.18. The alternate hypothesis for this problem is Ha: µ > $52,560. (Points : 4)
True
False

Explanation / Answer

Solution:-

The alternate hypothesis for this problem is Ha: µ > $52,560. True

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: < 52,560

Alternative hypothesis: > 52,560

Note that these hypotheses constitute a one-tailed test. The null hypothesis will be rejected if the sample mean is too small.

Formulate an analysis plan. For this analysis, the significance level is 0.05. The test method is a one-sample t-test.

Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).

SE = s / sqrt(n)

S.E = 130.25

DF = n - 1 = 16 - 1

D.F = 15

t = (x - ) / SE

t = - 12

t = 1.753

We will reject the null hypothesis if t value is greater than 1.753

where s is the standard deviation of the sample, x is the sample mean, is the hypothesized population mean, and n is the sample size.

Interpret results. Since the t-value (-12) is smaller than the critical value(t = 1.753), hence we cannot reject the null hypothesis.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.