1. A team of scientists wants to test a new medication to see if it has either a positive or negative effect on intelligence, or no effect at all. A sample of 25 participants who have taken the medication has a mean of 150 with a standard deviation of 20. a. Calculate the degrees of freedom b. What is the t-value? c. What is your confidence level?
1. A team of scientists wants to test a new medication to see if it has either a positive or negative effect on intelligence, or no effect at all. A sample of 25 participants who have taken the medication has a mean of 150 with a standard deviation of 20. a. Calculate the degrees of freedom b. What is the t-value? c. What is your confidence level?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![1. A team of scientists wants to test a new medication to see if it has either a positive or negative effect on
intelligence, or no effect at all. A sample of 25 participants who have taken the medication has a mean of
150 with a standard deviation of 20.
a. Calculate the degrees of freedom
b. What is the t-value?
c. What is your confidence level?
d. What is the confidence interval?
e. Plot in a normal distribution graph your answers,
Cnitical Values
1-tailed
0.1
0.05
0.025
0.01
0.005
2-ailed
0.2
0.1
9.05
0.02
0.01
3.0777
6.318
12.7062
31.8205
63.6567
1.8856
2.9200
4.3027
6.9646
9.9248
1.6377
2.3534
3.1824
4.5407
5.3409
1.5332
2.1318
2.7764
3.7469
4.6041
1.4759
2.0150
2.5706
3.3449
4.0321
1.4398
1.9432
24469
3.1427
3.7074
1.4149
1.4945
2.3645
2.90
1.3948
1.8595
2.3010
3.3554
1.3830
1.8331
2.2622
2.8214
3.2498
10
1.3722
1.8125
22281
2.7638
3.1693
11
1.3624
1.7959
2.2010
2.7181
3.1058
12
1.3562
1.7823
21788
2.6810
3.0545
13
1.3502
1.7709
2.1604
2.6503
3.0123
14
1.3450
1.7613
2.1448
26245
2.9768
15
1.3406
1.7531
2.1314
2.6025
2.9467
16
1.348
1.7459
2.1119
2.5835
2.1208
17
1.3334
1.736
2.1014
2.5669
2.4982
18
1.3304
1.7341
2.1009
2.5524
2.8784
19
1.3277
1.7291
2.0930
2.5395
2.8609
a
(7](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F31427aa4-e2c9-4414-90d4-4129f65ff753%2Fd351548b-900f-47a8-93f5-cad002c63e74%2Fhl8ten_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. A team of scientists wants to test a new medication to see if it has either a positive or negative effect on
intelligence, or no effect at all. A sample of 25 participants who have taken the medication has a mean of
150 with a standard deviation of 20.
a. Calculate the degrees of freedom
b. What is the t-value?
c. What is your confidence level?
d. What is the confidence interval?
e. Plot in a normal distribution graph your answers,
Cnitical Values
1-tailed
0.1
0.05
0.025
0.01
0.005
2-ailed
0.2
0.1
9.05
0.02
0.01
3.0777
6.318
12.7062
31.8205
63.6567
1.8856
2.9200
4.3027
6.9646
9.9248
1.6377
2.3534
3.1824
4.5407
5.3409
1.5332
2.1318
2.7764
3.7469
4.6041
1.4759
2.0150
2.5706
3.3449
4.0321
1.4398
1.9432
24469
3.1427
3.7074
1.4149
1.4945
2.3645
2.90
1.3948
1.8595
2.3010
3.3554
1.3830
1.8331
2.2622
2.8214
3.2498
10
1.3722
1.8125
22281
2.7638
3.1693
11
1.3624
1.7959
2.2010
2.7181
3.1058
12
1.3562
1.7823
21788
2.6810
3.0545
13
1.3502
1.7709
2.1604
2.6503
3.0123
14
1.3450
1.7613
2.1448
26245
2.9768
15
1.3406
1.7531
2.1314
2.6025
2.9467
16
1.348
1.7459
2.1119
2.5835
2.1208
17
1.3334
1.736
2.1014
2.5669
2.4982
18
1.3304
1.7341
2.1009
2.5524
2.8784
19
1.3277
1.7291
2.0930
2.5395
2.8609
a
(7
![Critical Values
1-tailed
0.1
0.05
0.025
0.01
0.005
2-ailed
0.2
0.1
0.05
0.02
0.01
3.0777
6.31
12.7062
31.8205
63.6667
1.8856
2.9200
4.3027
6.9646
9.9248
1.6377
2.3534
3.1824
4.5407
6.8409
1.6332
2.1318
2.7764
3.7469
4.6041
1.4759
2.0150
2.5706
3.3649
4.0321
1.4398
1.9432
2.4469
3.1427
3.7074
1.4149
1.4946
2.3645
2.9980
3.4995
1.3948
1.8595
2.3010
2.8945
3.3554
1.3830
1.8331
22622
2.8214
3.2498
10
1.3722
1.8125
22281
2.7638
3.1693
11
1.3624
1.7959
2.2010
2.7181
3.1054
12
1.3562
1.7823
2.1788
2.8810
3.0645
13
1.3502
1.7709
2.1604
2.6600
3.0123
14
1.3450
1.7613
2.1448
26245
2.9764
15
1.3406
1.7631
2.1314
2.6025
2.9467
16
1.3348
1.7459
2.119
2.5835
2.9208
17
1.3334
1.736
2.1014
2.5669
2.8982
18
1.3304
1.7341
2.1009
2.5524
2.8784
19
1.3277
1.7291
2.0930
2.5395
2.3609
20
1.3253
1.7247
2.0860
2.5280
2.3453
21
1.3232
1.7207
2.0796
2.5176
2.8314
22
1.3212
1.7171
2.0739
2.5083
2.8188
23
1.3195
1.7139
2.0687
2.4919
2.4073
24
1.3178
1.7109
2.0639
2.4922
2.7969
25
1.3163
1.7081
2.0595
2.4851
2.7874
26
1.3150
1.7054
2.0655
2.4786
2.7787
27
1.3137
1.7033
2.0518
2.4727
2.7707](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F31427aa4-e2c9-4414-90d4-4129f65ff753%2Fd351548b-900f-47a8-93f5-cad002c63e74%2F87gmm2e_processed.png&w=3840&q=75)
Transcribed Image Text:Critical Values
1-tailed
0.1
0.05
0.025
0.01
0.005
2-ailed
0.2
0.1
0.05
0.02
0.01
3.0777
6.31
12.7062
31.8205
63.6667
1.8856
2.9200
4.3027
6.9646
9.9248
1.6377
2.3534
3.1824
4.5407
6.8409
1.6332
2.1318
2.7764
3.7469
4.6041
1.4759
2.0150
2.5706
3.3649
4.0321
1.4398
1.9432
2.4469
3.1427
3.7074
1.4149
1.4946
2.3645
2.9980
3.4995
1.3948
1.8595
2.3010
2.8945
3.3554
1.3830
1.8331
22622
2.8214
3.2498
10
1.3722
1.8125
22281
2.7638
3.1693
11
1.3624
1.7959
2.2010
2.7181
3.1054
12
1.3562
1.7823
2.1788
2.8810
3.0645
13
1.3502
1.7709
2.1604
2.6600
3.0123
14
1.3450
1.7613
2.1448
26245
2.9764
15
1.3406
1.7631
2.1314
2.6025
2.9467
16
1.3348
1.7459
2.119
2.5835
2.9208
17
1.3334
1.736
2.1014
2.5669
2.8982
18
1.3304
1.7341
2.1009
2.5524
2.8784
19
1.3277
1.7291
2.0930
2.5395
2.3609
20
1.3253
1.7247
2.0860
2.5280
2.3453
21
1.3232
1.7207
2.0796
2.5176
2.8314
22
1.3212
1.7171
2.0739
2.5083
2.8188
23
1.3195
1.7139
2.0687
2.4919
2.4073
24
1.3178
1.7109
2.0639
2.4922
2.7969
25
1.3163
1.7081
2.0595
2.4851
2.7874
26
1.3150
1.7054
2.0655
2.4786
2.7787
27
1.3137
1.7033
2.0518
2.4727
2.7707
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