5.On July 19, 2020, several national poll results for the presidential election werepublished.Two used likely voters for the November election while 2 others usedregistered voters (regardless of their likelihood of voting).The results for all polls aresummarized below:

LIKELY VOTER POLLS

Poll #1:Pro-Biden - 541; Pro-Trump - 453; Undecided - 110

Poll #2:Pro-Biden - 465; Pro-Trump - 338; Undecided - 42

REGISTERED VOTER POLLS

Poll #1:Pro-Biden - 363; Pro-Trump - 289; Undecided - 21

Poll #2:Pro-Biden - 363; Pro-Trump - 296; Undecided - 14

I am particularly interested in knowing whether either set of polls can be used todetermine whether the American electorate appear to favor one candidate over the other on this date.

Use the Sign Test to answer the following.Combine the like polls.Identify steps takento come to your conclusion.

A.Of likely voters polled, is there a difference between those favoring Biden overTrump?

B.Of registered voters, is there a difference in the number favoring Biden overTrump?

6.Listed below are times (in minutes and seconds) that were recorded for bicycles for fivecircuits through each mile of a 3-mile loop.Use a 0.05 significance level to test theclaim that the samples are from populations with the same median.Identify theappropriate test and what the data suggest.(Hint: there are three independent samplesbeing investigated).

MILE 1MILE 2MILE 3

3:153:193:34

3:243:223:31

3:233:213:29

3:223:173:31

3:213:193:29

7.There is an educational program interested in seeing if there is a relationship in classscores across courses.A representative sample of student class scores were obtainedfor 10 students who had taken a mathematics and English course.Their paired scoresare presented in the table below:

Math (mark)English (mark)

6670

7075

4045

6071

6562

5664

5958

7780

6776

6361

Calculate the Spearman rank-order correlation, test the significance and state yourconclusion.

8.A researcher is interested in studying a collected sample of data.However, beforecontinuing, they realize that they need to determine whether the data is normallydistributed.Test the data for the researcher and tell them whether their data testsnormally distributed or not.Use a significance level of 0.05 on the data listed below:

SAMPLE

201

213

245

227

222

225

183

222

211

241

235

224

209

223

228

247

241

230

215

210

Besides the statistical testing outcome, is there any other evidence to suggest that thedata is or is not normally distributed?