One year, the mean age of an inmate on death row was 39.1 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 37.1, with a standard deviation of 9.5. Construct a 95% confidence interval about the mean age. What does the interval imply? Click the icon to view the table of critical t-values. Choose the correct hypotheses. Họ: (1) (2) H: (3) (Type integers or decimals. Do not round.) (4) Construct a 95% confidence interval about the mean age. With 95% confidence, the mean age of a death row inmate is between years and years. (Round two decimal places as needed.) What does the interval imply? O A. Since the mean age from the earlier year is contained in the interval, there is sufficient evidence to conclude that the mean age had changed. O B. Since the mean age from the earlier year is not contained in the interval, there is sufficient evidence to conclude that the mean age had changed. O C. Since the mean age from the earlier year is not contained in the interval, there is not sufficient evidence to conclude that the mean age had changed. O D. Since the mean age from the earlier year is contained in the interval, there is not sufficient evidence to conclude that the mean age had changed.

Answered: One year, the mean age of an inmate on death row was 39.1 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She…

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

See similar textbooks

Related questions

Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

Q: health economist does a study on the average life expectancy of every country in Europe. The…

A: Given, mean life of the country is 81.2 and standard deviation is 3.7. Z-score is 1.2. We will use…

Q: Scores by women on the SAT-1 test are normally distributed with a mean of 988 and a standard…

A: Given Information Now we have to calculate corresponding Z value Z = 0.7388…

Q: The height of trees in a nursery is normally distributed with a mean of 56.4 inches and a standard…

A: The height of trees in a nursery is normally distributed with a mean of 56.4 inches and a standard…

Q: A successful basketball player has a height of 6 feet 8 inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: Construct a 95% confidence interval about the mean age.

A: Given Data : Sample Size, n = 32 Sample Mean, x̄ = 37.3 sample…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.6 and a standard…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: Assume the cholesterol levels of adult American women can be described by a Normal model with a mean…

A: According to the given information, we have Mean = 188 mg/dL Standard deviation = 24 mg/dL

Q: The mean annual income for people in a certain city (in thousands of dollars) is 42, with a standard…

A: The formula for mean of the Z-score is, Z=x¯-μσn Here n is the sample size, μ is the population mean…

Q: A random sample of 51 four-year-olds attending day care centers provided a yearly tuition average of…

Q: It takes an average of 8 minutes for blood to begin clotting after an injury. An EMT wants to see if…

A: Given The data is as follows: Pop. mean, μ=8Sample size, n=62Sample mean, x¯=7.8Sample sd,…

Q: Hypothesis Tests - 2 samples x C Solved: One of the questions b Answered: The mean numbero x P…

A: Answer:- The independent t-test implies that the means of the two independent populations are…

Q: A researcher collected data from Boston police officers and found that on average they spent 14.3…

A: From the provided information, Mean (µ) = 14.3 Standard deviation (σ) = 3.2

Q: Assume that adults have IQ scores that are normally distributed with a mean of 97.3 and a standard…

A: Given data Mean μ= 97.3 Standard deviation ? = 22.8 First quartile is given by Probability = 0.25

Q: The mean number of English courses taken in a two-year time period by male and female college…

A: Answer:-

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Suppose that the random variable x defines the scores in psychology research.

Q: Assume that adults have IQ scores that are normally distributed with a mean of 104.6 and a standard…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 100.1 and a standard…

Q: The mean number of English courses taken in a two-year time period by male and female college…

A: Here we will conduct a 2 independent sample t-test to test the equality of the average number of…

Q: The SAT and ACT are standardized tests for college admission in the United States. Both tests…

A: Percentile of Sam's score is given by the cumulative probability of observing a score of at least…

Q: When Rajani goes bowling, her scores are normally distributed with a mean of 125 and a standard…

Q: You know that the average amount of protein consumed by 254 men in a study is 75 grams a day, when…

Q: Suppose that the life-span of goldfish can be modeled by the Normal Distribution with a mean of 5…

Q: For a social club, the members had a mean age of 68 and a standard deviation of 10 years. What is…

A: The mean is 68 and the standard deviation is 10.

Q: In one town, the number of pounds of sugar consumed per person per year has a mean of 6 pounds and a…

A: In one town, the number of pounds of sugar consumed per person per year has a mean of 6 pounds and a…

Q: A group of university students is exploring the connection between study hours and academic…

A: Let x be the independent variable and represent the study hours of a group of university…

Q: Noise levels at various area urban hospitals were measured in decibels. The mean noise level in 69…

A: We want to find 96% CI for population mean μ

Q: Assume that adults have IQ scores that are normally distributed with a mean of 95.6 and a standard…

A: Given: x~N(μ,σ)μ=95.6σ=24.3

Q: Suppose that the amount of caffeine (in milligrams) in an 16 fluid ounce energy drink can be modeled…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: Assume that adults have iq scores that are normally distributed with a mean of 97.9 and a standard…

Q: A student earned a 79 on a precalculus exam, and she earned a 92 on a statistics exam. The…

A: Answer:- Given, The precalculus exam had a mean score (µ) =72.3 with a standard deviation (σ) = 8.4.…

Q: A researcher wanted to know whether losing one night sleep can affect problem solving. A sample of n…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 104.8 and a standard…

Question

Area in
right tail
t-Distribution
Area in Right Tail
Degrees of
Freedom
0.25
0.20
0.15
0.10
(0.05
(0.025
0.02
0,01
0.005
0.0025
0.001
0.0005
1.000
0.816
0.765
0.741
0.727
1.376
1.061
0.978
0.941
0.920
1.963
1.386
1.250
1.190
1.156
3.078
1.886
1.638
1.533
1.476
6.314
2.920
2.353
2.132
2.015
12.706
4.303
3.182
2.776
2.571
15.894
4.849
3.482
2.999
2.757
31.821
6.965
4.541
3.747
3.365
63.657
9.925
5.841
4.604
4.032
127.321 318.309 636.619
22.327
10.215
7173
5.893
14.089
7.453
5.598
4.773
31.599
12.924
8.610
6.869
0.718
0.711
0.706
0.703
0.700
0.906
0.896
0.889
0.883
0.879
1.134
1.119
1.108
1.100
1.093
1.440
1.415
1.397
1.383
1.372
1.943
1.895
1.860
1.833
1.812
2.447
2.365
2.306
2.262
2.228
2.612
2.517
2.449
2.398
2.359
3.143
2.998
2.896
2.821
2.764
3.707
3.499
3.355
3.250
3.169
4.317
4.029
3.833
3.690
3.581
5.208
4.785
4.501
4.297
4.144
5.959
5.408
5.041
4.781
4.587
7
8
10
0.697
0.695
0.694
0.692
0.691
1.363
1.356
1.350
1.345
1.341
1.796
1.782
1.771
1.761
1.753
2.328
2.303
2.282
2.264
2.249
0.876
1.088
11
12
13
14
15
2.201
2.179
2.160
2.145
2.131
2.718
2.681
2.650
2.624
2.602
3.106
3.055
3.012
2.977
2.947
3.497
3.428
3.372
3.326
3.286
4.025
3.930
3.852
3.787
3.733
4.437
4.318
4.221
4.140
4.073
0.873
1.083
1.079
0.868 1.076
0.866
0.870
1.074
16
17
18
19
20
0.690
0.689
0.688
0.688
0.687
0.865
0.863
0.862
0.861
0.860
1.071
1.069
1.067
1.066
1.064
1.337
1.333
1.330
1.328
1.325
1.746
1.740
1.734
1.729
1.725
2.120
2.110
2.101
2.093
2.086
2.235
2.224
2.214
2.205
2.197
2.583
2.567
2.552
2.539
2.528
2.921
2.898
2.878
2.861
2.845
3.252
3.222
3.197
3.174
3.153
3.686
3.646
3.610
3.579
3.552
4.015
3.965
3.922
3.883
3.850
21
22
23
24
25
0.686
0.686
0.685
0.685
0.684
0.859
0.858
0.858
0.857
0.856
1.063
1.061
1.060
1.059
1.058
1.323
1.321
1.319
1.318
1.316
1.721
1.717
1.714
1.711
1.708
2.080
2.074
2.069
2.064
2.060
2.189
2.183
2.177
2.172
2.167
2.518
2.506
2.500
2.492
2.485
2.831
2.819
2.807
2.797
2.787
3.135
3.119
3.104
3.091
3.078
3.527
3.505
3.485
3.467
3.450
3.819
3.792
3.768
3.745
3.725
0.856
0.855
2.162
2.158
2.154
2.150
2.147
1.058
0.684
0.684
0.683
0.683
0.683
1.057
0.855 1.056
0.854 1.055
1.315
1.314
1.313
1.311
1.310
1.706
1.703
1.701
1.699
1.697
2.056
2.052
2.048
2.045
2.042
2.479
2.473
2.467
2.462
2.457
2.779
2.771
2.763
2.756
2.750
3.067
3.057
3.047
3.038
3.030
3.435
3.421
3.408
3.396
3.385
3.707
3.690
3.674
3.659
3.646
27
28
29
30
0.854
1.055
1.054
1.054
1.053
1.052
1.052
3.375
3.365
3.356
3.348
3.340
31
0.853
0.853
0.853
0.852
0.852
1.309
1.309
1.308
1.307
1.306
2.040
2.037
2.035
2.032
2.030
2.144
2.141
2.138
2.136
2.133
2.453
0.682
0.682
0.682
0.682
0.682
1.696
1.694
1.692
1.691
1.690
2.744
2.738
2.733
2.728
2.724
3.022
3.015
3.008
3.002
2.996
3.633
3.622
3.611
3.601
3.591
32
33
2.449
2.445
2.441
2.438
34
35
36
37
38
39
40
0.681
0.681
0.681
0.681
0.681
0.852
0.851
0.851
0.851
0.851
1.052
1.051
1.051
1.050
1.050
1.306
1.305
1.304
1.304
1.303
1.688
1.687
1.686
1.685
1.684
2.028
2.026
2.024
2.023
2.021
2.131
2.129
2.127
2.125
2.123
2.434
2.431
2.429
2.426
2.423
2.719
2.715
2.712
2.708
2.704
2.990
2.985
2.980
2.976
2.971
3.333
3.326
3.319
3.313
3.307
3.582
3.574
3.566
3.558
3.551
0.679
0.679
0,678
0.678
0.677
0.849
0.848
0.847
0.846
0.846
1.047
1.045
1.044
1.043
1.042
1.299
1.296
1.294
1.292
1.291
1.676
1.671
1.667
1.664
1.662
2.009
2.000
1.994
1.990
1.987
2.109
2.099
2.093
2.088
2.084
2.403
2.390
2.381
2.374
2.368
2.937
2.915
2.899
2.887
2.878
3.261
3.232
3.211
3.195
3.183
3.496
3.460
3.435
3.416
3.402
50
2.678
2.660
2.648
2.639
2.632
60
70
80
90
100
1000
0.677
0.675
0.674
0.845
0.842
0.842
1.042
1.037
1.036
1.290
1.282
1.282
1.660
1.646
1.645
1.984
1.962
1.960
2.081
2.056
2.054
2.364
2.330
2.326
2.626
2.581
2.576
2.871
2.813
2.807
3.174
3.098
3.090
3.390
3.300
3.291
Degrees of 0.25
Freedom
0.20
0.15
0.10
(0.05
0.025
0.02
0.01
0,005
0.0025
0.001
(0.0005
t-Distribution
Area in Right Tail
(1)
(2)
(4)

1. One year, the mean age of an inmate on death row was 39.1 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is
37.1, with a standard deviation of 9.5. Construct a 95% confidence interval about the mean age. What does the interval imply?
1
Click the icon to view the table of critical t-values.
Choose the correct hypotheses.
Ho: (1)
H1: (3).
(Type integers or decimals. Do not round.)
(4)
Construct a 95% confidence interval about the mean age.
With 95% confidence, the mean age of a death row inmate is between
years and
years. (Round to two decimal places as needed.)
What does the interval imply?
O A. Since the mean age from the earlier year is contained in the interval, there is sufficient evidence to conclude that the mean age had changed.
B. Since the mean age from the earlier year is not contained in the interval, there is sufficient evidence to conclude that the mean age had changed.
C. Since the mean age from the earlier year is not contained in the interval, there is not sufficient evidence to conclude that the mean age had changed.
D. Since the mean age from the earlier year is contained in the interval, there is not sufficient evidence to conclude that the mean age had changed.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution

See solution Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW