Using the data below, test the null hypothesis that the variance in the Close Ratio for...

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Statistics

Using the data below, test the null hypothesis that the variancein the Close Ratio for the sample of employees is at most 1.5% at5% significance level.
Years Employed Gender Certified Prior Background Close Ratio Sales
7 M Y Y 44.40% $Â Â Â 201,500
8 M Y Y 54.20% $Â Â Â 129,000
4 M Y Y 60.70% $Â Â Â 101,100
8 M N N 42.60% $Â Â Â Â Â Â 99,700
6 M Y N 68.30% $Â Â Â Â Â Â 98,100
6 M N N 37.90% $Â Â Â Â Â Â 93,900
2 M N N 29.50% $Â Â Â Â Â Â 90,800
2 M N N 42.40% $Â Â Â Â Â Â 90,600
7 M Y Y 37.70% $Â Â Â Â Â Â 89,200
2 M N N 35.00% $Â Â Â Â Â Â 86,600
2 M N N 45.80% $Â Â Â Â Â Â 83,900
3 M N N 50.70% $Â Â Â Â Â Â 80,000
4 M Y Y 29.80% $Â Â Â Â Â Â 77,300
7 M N N 38.70% $Â Â Â Â Â Â 67,100
5 M Y Y 62.20% $Â Â Â Â Â Â 58,900
3 M Y Y 63.20% $Â Â Â Â Â Â 56,600
6 M N N 18.60% $Â Â Â Â Â Â 54,700
3 F Y Y 32.00% $Â Â Â 126,300
4 F Y Y 50.00% $Â Â Â Â Â Â 95,800
9 F Y Y 51.70% $Â Â Â Â Â Â 93,100
2 F N Y 29.20% $Â Â Â Â Â Â 91,600
2 F N N 58.20% $Â Â Â Â Â Â 89,000
4 F Y Y 44.00% $Â Â Â Â Â Â 82,300
8 F Y Y 67.70% $Â Â Â Â Â Â 81,000
6 F N Y 61.20% $Â Â Â Â Â Â 78,200
7 F N Y 54.40% $Â Â Â Â Â Â 71,300
8 F N Y 38.60% $Â Â Â Â Â Â 67,500
2 F Y Y 40.40% $Â Â Â Â Â Â 64,800
4 F N Y 41.50% $Â Â Â Â Â Â 57,200
2 F N Y 40.70% $Â Â Â Â Â Â 54,100
2 F N Y 36.30% $Â Â Â Â Â Â 51,700

Answer & Explanation Solved by verified expert

3.7 Ratings (559 Votes)

Variance15 implies SD1224744871Here we are to testHere the sample size n31Let the sample mean be and the parent population from which the sample is drawn followsNormal distributionThe test statistic is given See Answer

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Years Employed	Gender	Certified	Prior Background	Close Ratio	Sales
7	M	Y	Y	44.40%	$Â Â Â 201,500
8	M	Y	Y	54.20%	$Â Â Â 129,000
4	M	Y	Y	60.70%	$Â Â Â 101,100
8	M	N	N	42.60%	$Â Â Â Â Â Â 99,700
6	M	Y	N	68.30%	$Â Â Â Â Â Â 98,100
6	M	N	N	37.90%	$Â Â Â Â Â Â 93,900
2	M	N	N	29.50%	$Â Â Â Â Â Â 90,800
2	M	N	N	42.40%	$Â Â Â Â Â Â 90,600
7	M	Y	Y	37.70%	$Â Â Â Â Â Â 89,200
2	M	N	N	35.00%	$Â Â Â Â Â Â 86,600
2	M	N	N	45.80%	$Â Â Â Â Â Â 83,900
3	M	N	N	50.70%	$Â Â Â Â Â Â 80,000
4	M	Y	Y	29.80%	$Â Â Â Â Â Â 77,300
7	M	N	N	38.70%	$Â Â Â Â Â Â 67,100
5	M	Y	Y	62.20%	$Â Â Â Â Â Â 58,900
3	M	Y	Y	63.20%	$Â Â Â Â Â Â 56,600
6	M	N	N	18.60%	$Â Â Â Â Â Â 54,700
3	F	Y	Y	32.00%	$Â Â Â 126,300
4	F	Y	Y	50.00%	$Â Â Â Â Â Â 95,800
9	F	Y	Y	51.70%	$Â Â Â Â Â Â 93,100
2	F	N	Y	29.20%	$Â Â Â Â Â Â 91,600
2	F	N	N	58.20%	$Â Â Â Â Â Â 89,000
4	F	Y	Y	44.00%	$Â Â Â Â Â Â 82,300
8	F	Y	Y	67.70%	$Â Â Â Â Â Â 81,000
6	F	N	Y	61.20%	$Â Â Â Â Â Â 78,200
7	F	N	Y	54.40%	$Â Â Â Â Â Â 71,300
8	F	N	Y	38.60%	$Â Â Â Â Â Â 67,500
2	F	Y	Y	40.40%	$Â Â Â Â Â Â 64,800
4	F	N	Y	41.50%	$Â Â Â Â Â Â 57,200
2	F	N	Y	40.70%	$Â Â Â Â Â Â 54,100
2	F	N	Y	36.30%	$Â Â Â Â Â Â 51,700