Question

In: Statistics and Probability

Question 1: Locate the Manufacturer tab. Test to determine if there is a significant difference between...

Question 1:

Locate the Manufacturer tab. Test to determine if there is a significant difference between Mean Value Added by the manufacturer and the mean Cost of Materials in manufacturing assuming a 10% level of significance.

Must complete all the parts to this problem:

PART 1: Use Excel to perform the Test for Equality of Variances. Copy and paste the output from Excel into a word document.
PART 2: Write 1 – 2 sentences on the findings from the Test for Equality of Variances. Which two-sample t-test will be needed (equal variances or unequal variances)? Support your answer by using the output from the Test for Equality of Variances. You must include: the hypotheses for the F-test, a discussion of the p-value, and the decision you reach and why.
PART 3: Run the test you chose in step 2 in Excel (t-test assuming equal variances or unequal variances) to test if there is a significant difference between Mean Value Added by the manufacturer and the mean Cost of Materials in manufacturing assuming a 10% level of significance. Copy and paste the output from Excel into a word document.
PART 4: Write 3 - 4 sentences on the findings from the Two-sample T-test. Is there a significant difference between Mean Value Added by the manufacturer and the mean Cost of Materials in manufacturing assuming a 10% level of significance? Support your answer by using the output from the test. You must include: the hypotheses for the T-test, a discussion of the p-value, and the decision you reach and why.

Data: (Table was too large so I divided each data set into two columns)

Value Added by Mfg.		Cost of Materials
23518	4528	78713	3805
15724	7275	42774	7195
24506	55621	27222	57264
21667	1313	37040	1865
20712	162	12030	163
12640	1907	13674	1682
4258	53	19130	85
35210	747	33521	395
20548	328	19612	255
23442	233	5557	177
287	1717	163	943
1508	6532	314	3527
624	4850	2622	4254
2471	3509	4219	2282
4307	2176	5357	1387
673	2696	1061	1183
817	15739	707	17010
8986	999	10421	565
3145	7838	4140	5432
4076	29180	7125	45696
3806	9061	8994	6913
4276	4200	5504	11184
1239	1410	716	5735
9423	16670	8926	31892
11045	5856	11121	4696
1916	3164	2283	2790
599	3999	364	9364
2063	11750	1813	8720
34	4412	71	3527
1445	27974	1321	31527
10603	6936	12376	4909
5775	19880	9661	21531
10404	7793	19285	6232
13274	3528	18632	1689
1909	21718	2170	19273
4606	10513	7290	12954
5518	9545	8135	11858
12464	18178	12980	23474
5447	22673	4011	14343
2290	19221	5101	16515
4182	23110	3755	18543
2818	41135	2694	60857
2201	17521	3279	21819
18848	25322	20596	13897
9655	6700	10604	5523
15668	14278	24634	12657
25918	9466	28963	12578
30692	13428	8483	11065
17982	3459	6940	7621
17857	38705	8863	29591
9699	84059	2823	44486
38407	13920	29572	13398
3878	105899	3811	223639
3989	45220	1047	42367
4388	7903	2055	7760
4055	2590	1098	4363
16567	1435	11298	1674
25025	9986	34596	8120
59813	3564	27187	5476
31801	21071	19932	8760
8497	29028	9849	18028
28886	31051	46935	16787
12277	2390	11130	1020
11547	14032	13085	8114
26006	415	132880	382
3464	2761	6182	3646
2187	685	4446	506
7079	8327	7091	6604
442	2643	496	1789
	1406		997
	11199		8530

Expert Solution

Test for Equal Variances:

Method

Null hypothesis	All variances are equal
Alternative hypothesis	At least one variance is different
Significance level	α = 0.10

95% Bonferroni Confidence Intervals for Standard Deviations

Sample	N	StDev	CI
Value Added by Mfg.	140	15340.7	(10551.0, 22667.5)
Cost of Materials	140	24569.9	(12944.6, 47394.7)

Individual confidence level = 97.5%

Tests

Method	Test Statistic	P-Value
Multiple comparisons	1.25	0.264
Levene	0.45	0.505

Since the p-value (0.505) is greater than the significance level (0.10), we cannot reject the null hypothesis.

Therefore, we can conclude that all variances are equal.

Two-Sample T-Test and CI:

Method

μ₁: mean of Value Added by Mfg.

µ₂: mean of Cost of Materials

Difference: μ₁ - µ₂

Equal variances are assumed for this analysis.

Descriptive Statistics

Sample	N	Mean	StDev	SE Mean
Value Added by Mfg.	140	12498	15341	1297
Cost of Materials	140	14110	24570	2077

Estimation for Difference

Difference	Pooled StDev	95% CI for Difference
-1612	20482	(-6431, 3207)

Test

Null hypothesis	H₀: μ₁ - µ₂ = 0
Alternative hypothesis	H₁: μ₁ - µ₂ ≠ 0

T-Value	DF	P-Value
-0.66	278	0.511

Since the p-value (0.511) is greater than the significance level (0.10), we cannot reject the null hypothesis.

Therefore, we cannot conclude that there is a significant difference between Mean Value Added by the manufacturer and the mean Cost of Materials in manufacturing.

orchestra answered 3 years ago

1- Test the hypothesis that there is a significant difference between the number of hours older...

1- Test the hypothesis that there is a significant difference between the number of hours older (60 or more) versus younger people watch T.V. Alpha is 05 a) State the assumptions b) State the null and alternate hypotheses c) explain your decision to reject or not reject and formulate your conclusion (Alpha is .05) Show your work. d) what is the mean difference between the two groups? e) what are the lower and upper 95% confidence intervals? f) which group...

Use the Wilcoxon matched-pairs signed rank test to determine whether there is a significant difference between...

Use the Wilcoxon matched-pairs signed rank test to determine whether there is a significant difference between the related populations represented by the data below. Assume a 5% level of significance and (differences = before - after). Before After 5.6 6.4 1.3 1.5 4.7 4.6 3.8 4.3 2.4 2.1 5.5 6.0 5.1 5.2 4.6 4.5 3.7 4.5 What is the value of T-? What is the value of T+? What is the test statistic, T? Using the table of Critical Values, what is the critical value for this study?

A researcher wants to determine if there is a significant difference between men and women in...

A researcher wants to determine if there is a significant difference between men and women in terms of guilty/non guilty pleas submitted by a sample of 50 defendants. Knowing that there are 25 women and 25 men in this sample and that 15 men entered guilty pleas [and 10 no guilty pleas] and 5 women entered guilty pleas [and 20 no guilty pleas]… [Hint: Calculated Chi-Sq. = 8.33] Formulate the null and research/alternative hypotheses. Create a contingency table with 2...

in order to determine whether or not there is a significant difference between the hourly wages...

in order to determine whether or not there is a significant difference between the hourly wages of the two companies the following data has been calculated. company A company B sample size 80 60 sample mean $16.75 $16.25 standard deviation $1.00 $0.95 A) what is the point estimate for the difference between the two means? B) the standard error of x1 - x2 is C)what is the 95% confidence interval for the difference between the...

1. A manager wants to test if there is a significant difference in the variance of...

1. A manager wants to test if there is a significant difference in the variance of the output from two similar machines. It has been determined that the output of the two machines is normally distributed. To carry out the hypothesis test about the population variances, the manager takes random samples from the output of each machine. The results are: Machine 1 Machine 2 1x=128.9 2x=159.5 s1= 6.8 s2= 7.2 n1=13 n2=15 a.)What is the observed value of the appropriate...

Use an independent-measures t test with α = .05 to determine whether there is a significant mean difference between the two treatments.

N =16 G = 120 ΣX² = 1036 The following scores are from an independent-measure study comparing two treatment conditions. Treatment I II 10 7 8 4 7 9 9 3 13 7 7 6 6 10 12 2 Use an independent-measures t test with α = .05 to determine whether there is a significant mean difference between the two treatments. Use an ANOVA with α = .05 to determine whether there is a significant mean difference between the...

A researcher wants to determine if there is a significant difference between the average fuel mileages...

A researcher wants to determine if there is a significant difference between the average fuel mileages for city and highway driving for the same model of cars. Use the EPA data below from a variety of 4-door sedans built in 2015 to determine if there is a difference between the city and highway fuel mileage for the same car models using α = 0.05. Round calculations to the nearest tenths. Car Models city highway Acura 18 27 Audi 20 29...

This assignment uses hypothesis testing to determine if there is a significant difference between the means...

This assignment uses hypothesis testing to determine if there is a significant difference between the means of three or more groups. Find solutions to the following problems. Be sure to include a statement about significance and complete a Tukey's HSD when necessary. Subjects were interviewed about their smoking habits in cigarettes per day and were tested for their aerobic capacity. Taking cigarettes per day as the explanatory (independent) variable and aerobic capacity as the response (dependent) variable, find the correlation...

A sample of different countries is selected to determine is there a significant difference between trade...

A sample of different countries is selected to determine is there a significant difference between trade freedom index and financial freedom index. Use α=0.01 and the following data to test the hypothesis. a) Set up the null and alternative hypotheses for testing whether there is a difference between trade freedom and financial freedom. b)Given the hypotheses in (a) would you reject null-hypothesis?(Note the significance level of 1%). Please provide the explanation why do you reject or do not reject your...

1. A study was conducted to determine whether there were significant difference between medical students admitted...

1. A study was conducted to determine whether there were significant difference between medical students admitted through special programs (such as affirmative action) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 94% for the medical students admitted through special programs (based on data from the Journal of the American Medical Association). (a) If 10 of the students from the special programs are randomly selected, find the probability that at least 9...