Also need the p-Value (3 decimal places) Do Homework Michael Beale -Google Chrom

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Also need the p-Value (3 decimal places) Do Homework Michael Beale -Google Chrome DS 2333 Fall 2017 Michael Beale 12917456 PM Homework: Chapter 9: Sections 1 thru 5 Score: 0 44 of 1 pt 9.3.46-T 9 of 11 (11 compile) Hw Score: 7022%, 983 of 14 pe A metropoitan tanscortaoon authonity has set a bus mechanical ceabilty goal of 3,800 bus mles Bus mechanical roablity i measused speciicaly as the mumber of bus meles betoeen mechanical road cas Suppese a sample of 100 buses resuted in a sample mean of 3.850 bus es and a sample standard devation ofl 275 bus mies Compiele parts (a) and (b) below State the null and atenmative bepotheses 3800 (Type integers or decimals ) nd the tenf stabic for this hepothesis test Enter your aswer in the tuer bor end Cick Check Answer

Explanation / Answer

Solution:-

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

Null hypothesis: < 3000
Alternative hypothesis: > 3000

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 0.10. 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 = 27.5
DF = n - 1

D.F = 99
t = (x - ) / SE

t = 1.82

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 1.82.

Thus the P-value in this analysis is 0.036.

Interpret results. Since the P-value (0.036) is less than the significance level (0.10), we have to reject the null hypothesis.

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