The research and development (R&D) department of a paint manufacturer recently developed a new paint product. The developers are concerned the average area covered per gallon will be less for the new paint than for the existing product. To investigate this concern, the R&D department set up a test in which two random samples of paint were selected. The first sample consisted of 20 one-gallon containers of the company's existing product, and the second of 10 one-gallon containers of the new paint. The statistics shown were computed from each sample and refer to the number of square feet that Current Paint New Paint each gallon will cover. Based on the sample data, what should the developers conclude using a x, = 437 sq. feet X2 =421 sq feet significance level of 0.01? Assume the populations S, = 22.3 S2 = 15.3 are normally distributed with equal variances. ng = 20 n2 = 10 If the null hypothesis is Ho: 1 - H2 50, what is the appropriate alternative hypothesis? O A. HA: H1 - H2>0 OB. HA: H1 - H2 0 O C. HA: HI - H2=0 OD. HA: H1 - H2 50 OE. HA: HI - H2 0 OF. HA: H1 -H2 20 Determine the rejection region for the test statistic t. Select the correct choice below and fill in the answer box to complete your choice. (Round to four decimal places as needed.) O A. (> OB. to ort > O C. to Calculate the value of the test statistic. t= (Round to four decimal places as needed.)