SOLUTION: Could I get some guidance on this please? Consider the hypothesis test given by H_0: &#956;=650 H_a: &#956;<650 Assume the population is normally distributed. In a

Algebra.Com
Question 1051027: Could I get some guidance on this please?
Consider the hypothesis test given by
H_0: μ=650
H_a: μ<650
Assume the population is normally distributed. In a random sample of 25 subjects, the sample mean is found to be x ̅=640, and the sample standard deviation is s=30.
(a) Is this test for population proportion, mean or standard deviation? What distribution should you apply for the critical value?
(b) Is the test a right-tailed, left-tailed or two-tailed test?

(c) Find the test statistic. (Show work and round the answer to two decimal places)







(d) Determine the P-value for this test. (Show work and round the answer to three decimal places if necessary. If you use technology to find the P-value, you have to describe the steps)





(e) Is there sufficient evidence to justify the rejection of at the α=0.05 level? Explain.
Thank you for your help!
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!


Hi  

n = 25, x̄ = 640, s = 30

Ho: u = 650 

Ha: u < 650

a) mean

We are using the T distribution because 

1) we do not know the population standard deviation (very common in most cases)

2) n < 30

(b) Is the test a right-tailed, left-tailed or two-tailed test?  left-tailed

(c) t = (640-650)/(30/5) = -10/6 = -5/3 = -1.6667

(d)P(t < -1.6667), DF 24 = .0543 

(d) .0543 > .05

there is not sufficient evidence to justify the rejection of Ho at the α=0.05 level









 

RELATED QUESTIONS


Could someone Please help, I need a sketch of this problem. Showing the comparison... (answered by stanbon)

State the null and alternative null hypothesis:
Does cocaine use by pregnant women cause  (answered by stanbon)

having problems figuring this out. help please

A regular ANOVA will be used to compare  (answered by stanbon)

If someone could assist with this I would be eternally grateful:

Previously, an... (answered by ewatrrr)

Consider the following hypothesis test for the mean difference. (Give your answers... (answered by stanbon)

In city A, it is known that the mean monthly energy usage per household has historically... (answered by stanbon)

Could someone help me with the lower and upper, I have everything else and can't seem to... (answered by Boreal)

Given that the null hypothesis is μ=90 and the alternative hypothesis is μ>90... (answered by stanbon)

A regular ANOVA will be used to compare 3 groups, called A, B, and C.  What is the... (answered by stanbon)