Please answer the following questions based on the analysis in excel. 1. Calculate the mean, standard deviation,...

Free

80.2K

Verified Solution

Question

Basic Math

Please answer the following questions based on the analysis inexcel.
1. Calculate the mean, standard deviation, and variance of thetwo samples. Embed the answers in the data sheet.
2. Calculate the degrees of freedom for a t test assuming thepopulation standard deviation is unknown with unequal variancebetween samples.
3. Perform a two-tailed two-sample mean test assuming thepopulation standard deviation is unknown with unequal variance.(.01 significance level)
4. State your conclusion from the two-tailed test.
M car J car
31 27
30 29
29 27
30 28
33 28
36 29
31 30
29 28
28 30
34 25
26 27
32 25
28 28
28 26
32 24
28 25
33 31
33 28
28 26
27 28
35 25
30 28
26 27
31 28
27
26
28
25

Answer & Explanation Solved by verified expert

4.3 Ratings (557 Votes)

Excel output:

M car	J car		M car	J car
31	27	Mean	30.33333	27.25
30	29	Variance	7.623188	3.009259
29	27	Std. dev	2.761012	1.734722
30	28
33	28
36	29	t-Test: Two-Sample Assuming Unequal Variances
31	30
29	28		Variable 1	Variable 2
28	30	Mean	30.33333	27.25
34	25	Variance	7.623188	3.009259
26	27	Observations	24	28
32	25	Hypothesized Mean Difference	0
28	28	df	38
28	26	t Stat	4.729026
32	24	P(T<=t) one-tail	1.54E-05
28	25	t Critical one-tail	1.685954
33	31	P(T<=t) two-tail	3.08E-05
33	28	t Critical two-tail	2.024394
28	26
27	28
35	25
30	28
26	27
31	28
	27
	26
	28
	25

You can use following functions and test to find answer:

Mean: =average()

variance: =var()

standard deviation: =stdev() Â Â

Now use \" t test: two sample Assuming unequal variance test \" to find degrees of freedom, p value

	M car	J car
Mean	30.33333	27.25
Variance	7.623188	3.009259
Std. dev	2.761012	1.734722

Degrees of freedom = 38

test statistics =t = 4.729026

p value = 0.0000308

Since p value is smaller than 0.05 we reject null hypothesis of equal mean at 5 % level of significance and conclude that two population means are significantly different.

Â Â

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member