Question: answer the following questions using the following: Gym Usage per week (X) Income (in $) (Y) 3 29562 2 31836 4 30699 3 32973 4

answer the following questions using the following:

Gym Usage per week (X) Income (in $) (Y)

3 29562

2 31836

4 30699

3 32973

4 35247

3 32973

3 35247

3 32973

5 35247

2 37521

3 36384

3 35247

4 36384

3 35247

3 38658

3 40932

2 34110

4 39795

4 38658

2 34110

4 38658

4 40932

4 42069

5 44343

2 45480

3 42069

4 46617

3 48891

2 45480

2 53439

3 39795

3 40932

2 40932

3 43206

3 44343

4 52302

2 53439

3 51165

3 36384

4 44343

3 50028

3 45480

4 54576

2 45480

2 46617

2 52302

3 52302

3 54576

4 54576

3 51165

3 68220

2 46617

4 50028

4 46617

3 54576

2 54576

2 45480

3 46617

4 52302

2 55713

3 46617

4 51165

2 52302

4 48891

3 60261

3 67083

4 44343

3 37521

3 46617

2 54576

2 52302

3 56850

4 59124

3 61398

4 54576

3 53439

3 57987

3 60261

4 56850

3 64809

3 31836

2 32973

3 34110

3 38658

5 34110

2 34110

2 32973

3 36384

3 38658

3 45480

4 45480

3 43206

3 40932

3 45480

3 40932

3 48891

3 50028

2 45480

3 43206

2 52302

5 47754

3 45480

2 43206

4 45480

3 43206

2 50028

2 45480

4 48891

4 45480

4 50028

4 51165

4 45480

3 51165

3 57987

4 46617

3 52302

2 51165

2 65220

4 60261

3 53439

4 53439

2 50028

3 51165

5 53439

3 47754

4 64809

3 59124

3 67083

3 52302

3 53439

3 50028

3 53439

2 48891

4 62535

3 59124

3 61398

3 57987

3 64809

2 54576

2 57987

4 48658

3 54781

4 48556

4 58516

5 53536

4 48556

4 61006

4 57271

5 52291

5 49801

4 49801

4 62251

5 61006

4 64741

6 70966

6 75946

4 74701

4 69721

5 64741

4 83416

4 88396

4 90886

6 92131

7 77191

6 88396

5 52290

7 85906

6 90886

5 103336

5 99601

6 89641

4 95866

5 92131

4 92131

5 104581

6 83416

5 89641

5 90886

4 104581

4 95508

ROUND OFF ALL CALCULATIONS TO AT LEAST FOUR DECIMAL PLACES.Highlight the cells with output where decimal places need setting.Then use the "Increase Decimal" tool on Excel's Home/Number menu to four decimal places.

5.Suppose it is known that 50 out of the 180 employees in the sample are women.

(a)Find a 95% confidence interval for the true proportion of all such Gym members who are women.

PASTE PHSTAT OUTPUT BELOW:

(b)What is your opinion of the precision of this confidence interval?Give a reason for your answer.

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