Math 240-07 Statistical MethodsI Fall 2017 Cassie Moran 12 17829 PM rk: Section
ID: 3319529 • Letter: M
Question
Math 240-07 Statistical MethodsI Fall 2017 Cassie Moran 12 17829 PM rk: Section 7.2 Hypothesis lests (Pop. SD Score: 0.33 of 1 pt 10of13(12 complete) Hw Score: 51.5%, 6.69 of 13 pts 7.2.31-T iaestion Help * mandom sample of 80 eighth grade studenta scores on a national 0.03, is there enough evidence to support the )Wie the claim mathemticaliy and idenitly H and H, Choose the comect arswer below a mean 270 Assume that the population standaend devialion is 3 prompts a sa to declane that the mean soore for the siaie's eighth graders on this exam is more than t adminstraior's diaim? Complele parts(a) through (el H, p270 H, p270 a Library Tulor Services hcomect 2 to select your and then cick Chack Anwe Clear Al 5 6 8 0 0Explanation / Answer
Solution:-
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: < 270
Alternative hypothesis: > 270
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 0.03. 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 = 3.47
DF = n - 1
D.F = 79
t = (x - ) / SE
t = 1.15
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.
The observed sample mean produced a t statistic test statistic of 1.15.
Thus the P-value in this analysis is 0.1268.
Interpret results. Since the P-value (0.1268) is greater than the significance level (0.03), we cannot reject the null hypothesis.