Trying to figure out the below questions based on the attached set of data, I understand it should be a one tailed test but unsure how to get the below questions. Two data sets follow. Current X is the first column and New Y is the second column of numbers

Current (X) New (Y)

264.00 277.00

261.00 269.00

267.00 263.00

272.00 266.00

258.00 262.00

283.00 251.00

258.00 262.00

266.00 289.00

259.00 286.00

270.00 264.00

263.00 274.00

264.00 266.00

284.00 262.00

263.00 271.00

260.00 260.00

283.00 281.00

255.00 250.00

272.00 263.00

266.00 278.00

268.00 264.00

270.00 272.00

287.00 259.00

289.00 264.00

280.00 280.00

272.00 274.00

275.00 281.00

265.00 276.00

260.00 269.00

278.00 268.00

275.00 262.00

281.00 283.00

274.00 250.00

273.00 253.00

263.00 260.00

275.00 270.00

267.00 263.00

279.00 261.00

274.00 255.00

276.00 263.00

262.00 279.00

Mean of X 270.28

Mean of Y 267.50

1.List the hypotheses for the tests:

a.Numeric hypotheses

I believe this is the right one

Ho:1-20

Ha:1-2>0

b.Narrative hypotheses (should match above but in English)

a.Is it a dependent (paired) or independent sample?

b.What is the z or t value (rejection rule) tested for at .05?

d.what is the rejection rule for the null hypothesis? How do you explain the test statistic?

a.What is the value of the test statistic (include if it is z or t)?

b.What is the actual p value?

c.What are the two means?

d.What is the standard deviation?

e.What is the 95% confidence interval for the difference between the means of the two populations?