You wish to test the following claim (H) at a significance level of a 0.02. H,:

Question

You wish to test the following claim (H) at a significance level of a 0.02. H,: ?-78.7 C Q211/1] H,:A> 78.7 CQ4(0.4/1) You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 29 with mean M = 81 and a standard deviation of SD-84. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic Q10 (0/1) Grade: 2.4/10 Print Version What is the p-value for this sample? (Report answer accurate to four decimal places.) -value The p-value is. ess than (or equal to) a greater than a This test statistic leads to a decision to. reject the null accept the nul fail to reject the null As such, the tal conclusion is that- s sufficient evidence to warram rejection of the claim that the population mean is greater than 78.7 -There is not sufficient evidence to warrant rejection of the claim that the population mea, is great? than 78.7. The sample data support the claim that the population mean is greater than 78.7 There is not sufficient sample evidence to support the claim that the population mean is greater than 78.7 Points avalable on this attempt: 0.9 of original 1 MacBook Pro ??? 5 6

Explanation / Answer

Ans:

As population standard deviation is not known and n<30,we will use t distribution.

Test statistic:

t=(81-78.7)/(8.4/sqrt(29))

t=1.475

df=29-1=28

p-value=tdist(1.475,28,1)=0.0758

alpha=0.02

p-value is greater than alpha

Fail to reject null hypothesis.

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

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