Test:Chapter 7 Exam Submit Test This Question: 1 pt 5 of 26 (26 complete) This T

Question

Test:Chapter 7 Exam Submit Test This Question: 1 pt 5 of 26 (26 complete) This Test: 26 pts possible A county is considering rasing the speed limit on a road because they claim that the mean speed of vehicles is greater than 35 miles per hour. A random sample of 25 vehicles has a mean speed of 36 miles per hour and a standard deviation of 4.8 miles per hour. At -0.10, do you have enough evidence to support the county's claim? Complete parts (a) through (d) below (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below. Ha : -35 How-35 Ha : t 35 OB. Ho #35 Ha : -35 D. Ho: 235 Ha

Explanation / Answer

Solution:-

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

Null hypothesis: < 35
Alternative hypothesis: > 35

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 = 0.96
DF = n - 1

D.F = 24
t = (x - ) / SE

t = 1.042

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 1.042.

Thus the P-value in this analysis is 0.154

Interpret results. Since the P-value (0.154) is greater than the significance level (0.10), we cannot reject the null hypothesis.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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