Question:I need assistance figuring out the steps for the following hypothesis with the data below. Thanks.

Bussiness

School TypeCost30 Year ROIAnnual ROI

Private$222,700.00$1,786,000.007.70%

Private$176,400.00$1,758,000.008.40%

Private$212,200.00$1,714,000.007.80%

Public$125,100.00$1,535,000.009.10%

Private$212,700.00$1,529,000.007.40%

Public$92,910.00$1,501,000.0010.10%

Private$214,900.00$1,485,000.007.30%

Private$217,800.00$1,483,000.007.20%

Private$225,600.00$1,444,000.007.00%

Private$217,300.00$1,442,000.007.10%

Private$226,500.00$1,441,000.007.00%

Private$215,500.00$1,438,000.007.20%

Private$223,500.00$1,428,000.007.00%

Private$226,600.00$1,414,000.007.00%

Private$189,300.00$1,397,000.007.50%

Public$89,700.00$1,382,000.009.90%

Public$87,030.00$1,376,000.0010.00%

Private$218,200.00$1,343,000.006.90%

Private$229,900.00$1,339,000.006.70%

Private$148,800.00$1,321,000.008.10%

Engineering

School TypeCost30 Year ROIAnnual ROI

Private$221,700.00$2,412,000.008.70%

Private$213,000.00$2,064,000.008.30%

Private$230,100.00$1,949,000.007.90%

Private$222,600.00$1,947,000.008.00%

Private$225,800.00$1,938,000.008.00%

Public$87,660.00$1,937,000.0011.20%

Private$224,900.00$1,915,000.007.90%

Private$221,600.00$1,878,000.007.90%

Public$125,100.00$1,854,000.009.80%

Private$215,700.00$1,794,000.007.90%

Public$92,530.00$1,761,000.0010.60%

Private$217,800.00$1,752,000.007.70%

Public$89,700.00$1,727,000.0010.70%

Private$229,600.00$1,716,000.007.50%

Public$101,500.00$1,703,000.0010.20%

Public$115,500.00$1,694,000.009.70%

Public$104,500.00$1,690,000.0010.10%

Public$69,980.00$1,685,000.0011.50%

Private$219,400.00$1,676,000.007.60%

Public$64,930.00$1,668,000.0011.70%

1- How I can calculate for each of the 2 majors, a full hypothesis test at the 10% significance level:

The mean 'Cost' for a college is $160,000.

2- For the Business versus Engineering majors how I can conduct a full, two-sample, full hypothesis test at the 5% significance level assuming the variances are not equal:The average '30-Year ROI' for Business majors is less than for Engineering Majors.