Question
(10)A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is normal. A random sample of patients
(10)A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is normal. A random sample of patients showed the following lengths of time for the effectiveness of the tranquilizer in hours: 2.7 ; 2.8 ; 3.0 ; 2.3 ; 2.3 ; 2.2 ; 2.8 ;
2.1 ; 2.4 Show your work.
Construct a 90% confidence interval for the population mean length of time.
You may use the table on page 8 of this exam or a spreadsheet program such as Microsoft Excel or something siroUar Either way, you must show your relevant calculation. If you are using a spreadsheet program, you need to write down what you haved typed in and what value(s) it has returned.
(11)Registered nurses are said to earn an average annual salary of $69,110. Last year, a survey was conducted of 41 registered nurses in CA and it was found that this sample had a mean annual salary of $71,121 with a standard deviation of $7,489. Conduct a hypothesis test at a 95% confidence level to see if the average annual salary of registered nurses in CA is higher than $69,110. Show your work.
You may use the table on page 8 of this exam or a spreadsheet program such as Microsoft Excel or something siroi1ar. Either way, you must show your relevant calculation. If you are using a spreadsheet program, you need to write down what you have typed in and what value(s) it has returned.
z table:
z
o.oo
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.0
0.0000
0.0040
0.0080
0.0120
0.0160
0.0199
0.0239
0.0279
0.0319
0.0359
0.1
0.0398
0.0438 i 0.0478
0.0517
0.0557
0.0596
0.0636
0.0675
0.0714
0.0753
0.2
0.0793
0.0832
0.0871
0.0910
0.0948
0.0987
0.1026
0.1064
0.1103
0.1141
0.3
0.1179
0.1217
0.1255
0.1293
0.1331
0.1368
0.1406
0.1443
0.1480
0.1517
OA
0.1554
0.1591
0.1628
0.1664
0.1700
0.1736
0.1772
0.1808
0.1844
0.1879
0.5
0.1915
0.1950
0.1985
0.2019
0.2054
0.2088
0.2123
0.2157
0.2190
0.2224
0.6
0.2257
0.2291
0.2324
0.2357
0.2389
0.2422
0.2454
0.2486
0.2517
0.2549
0.7
0.2580
0.2611
0.2642
0.2673
0.2704
0.2734
0.2764
0.2794
0.2823
0.2852
o.e
0 .2881
0.2910
0.2939
0.2967
0.2995
0.3023
0.3051
0.3078
0.3106
0.3133
0.9
0.3159
0.3186
0.3212
0.3238
0.3264
0.3289
0.3315
0.3340
0.3365
0.3389
LO
0.3413
0.3438
0.3-\61
0.3485
0.3508
0.3531
0.3554
0.3577
0.3599
0.3621
Ll
0.3643
0.3665
0.3686
0.3708
0.3729
0.3749
0.3770
0.3790
0.3810
0.3830
L2
0.3849
0.3869
0.3B88
0 .3907
0 .3925
0 . 3 944
0.3962
0.3980
0.3997
0.4015
1.3
0.4032
0.4049
0.4066
0.4082
0.4099
0.4115
0.4131
0.4147
0.4162
0.4177
1A
0.4192
0.4207
0.4222
0.4236
0.4 251
0.4265
0.4279
0.4292
0.4306
0.4319
l.5
0.4332
0.4345
0.4357
0.4370
0.4382
0.4394
0.4406
0.4418
0.4429
0.4441
1.6
0.4452
0.4463
0.4474
0.4484
0.4495
0. 505
0.4515
J.4525
0.4535
0.4545
1.7
0.4554
0.4564
0.4573
0.4582
0.4591
0.4599
0.4608
0.4616
0.4625
0.4633
L8
0 .4641
0 .4649
0.4656
0.4664
0.4671
0.4678
0.4686
0.4693
0.4699
0.4706
L9
0.4713
0.4719
0.4726
0.4732
0.4738
0.4744
0.4750
0.4756
0.4761
0.4767
2.0
0.4772
0.4778
0.4783
0.4788
0.4793
0.4798
0.4803
0.4808
0.4812
0.4817
t table:
V
0.10
0.05
0.025
0.01
0.005
0.001
1
3.078
6.314
12.706
31,8 21
63.657
318.313
2
1.886
2.920
4.303
6.965
9.925
22.327
3
1.638
2.353
3.182
4.541
5.841
10.215
4
1.533
2.132
2.776
3.747
4.604
7.173
5
1.476
2.015
2.571
3.365
4.032
5.893
6
1.440
1.943
2.447
3.143
3.707
5.208
7
1.415
1.895
2.365
2.99B
3.499
4.782
8
1.397
1.860
2.306
2.896
3.355
4.499
9
1.383
1.833
2.262
2.821
3.250
4.296
10
1.372
1.812
2.228
2.764
3.169
4.143
11
1.363
1.796
2.201
2.71B
3.106
4.024
12
1.356
1.782
2.179
2.681
3.055
3.929
13
1.350
1.771
2.160
2.650
3.012
3.852
14
1.345
1.761
2.145
2.624
2.977
3.787
15
1.341
1.753
2.131
2.602
2.947
3.733
16
1.337
1.746
2.120
2.583
2.921
3.686
17
1.333
1-740
2.110
2.567
2.898
3.646
18
1.330
1.734
2.101
2.552
2.878
3.610
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