The following data represent the pH of rain for a random sample of 12 rain dates. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts a) through d) below. 5.05 5.72 4.62 4.80 5.02 4.59 4.74 5.19 5.29 4.76 4.56 5.71 Click the icon to view the table of critical t-values. (Round to two decimal places as needed.) (b) Construct and interpret a 95% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) A. If repeated samples are taken, 95% of them will have a sample pH of rain water between and B. There is 95% confidence that the population mean pH of rain water is between 4.74 and 5.26. O C. There is a 95% probability that the true mean pH of rain water is between and (c) Construct and interpret a 99% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) O A. If repeated samples are taken, 99% of them will have a sample pH of rain water between and O B. There is 99% confidence that the population mean pH of rain water is between and O C. There is a 99% probability that the true mean pH of rain water is between and
The following data represent the pH of rain for a random sample of 12 rain dates. A normal probability plot suggests the data could come from a population that is normally distributed. A boxplot indicates there are no outliers. Complete parts a) through d) below. 5.05 5.72 4.62 4.80 5.02 4.59 4.74 5.19 5.29 4.76 4.56 5.71 Click the icon to view the table of critical t-values. (Round to two decimal places as needed.) (b) Construct and interpret a 95% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) A. If repeated samples are taken, 95% of them will have a sample pH of rain water between and B. There is 95% confidence that the population mean pH of rain water is between 4.74 and 5.26. O C. There is a 95% probability that the true mean pH of rain water is between and (c) Construct and interpret a 99% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to two decimal places as needed.) O A. If repeated samples are taken, 99% of them will have a sample pH of rain water between and O B. There is 99% confidence that the population mean pH of rain water is between and O C. There is a 99% probability that the true mean pH of rain water is between and
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
Concept explainers
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Topic Video
Question
Transcribed Image Text:The following data represent the pH of rain for a random sample of 12 rain dates. A normal probability
plot suggests the data could come from a population that is normally distributed. A boxplot indicates
there are no outliers. Complete parts a) through d) below.
5.05
5.72
4.62
4.80
5.02
4.59
4.74
5.19
5.29
4.76
4.56
5.71
Click the icon to view the table of critical t-values.
(Round to two decimal places as needed.)
(b) Construct and interpret a 95% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your
choice.
(Use ascending order. Round to two decimal places as needed.)
O A. If repeated samples are taken, 95% of them will have a sample pH of rain water between
and
B. There is 95% confidence that the population mean pH of rain water is between 4.74 and 5.26.
O C. There is a 95% probability that the true mean pH of rain water is between
and
(c) Construct and interpret a 99% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your
choice.
(Use ascending order. Round to two decimal places as needed.)
O A. If repeated samples are taken, 99% of them will have a sample pH of rain water between
and
O B. There is 99% confidence that the population mean pH of rain water is between
and
O C. There is a 99% probability that the true mean pH of rain water is between
and
Transcribed Image Text:Table of Critical t-Values
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
1.376
1.061
0.978
0.941
0.920
12.706
4.303
3.182
2.776
2.571
63.657
9.925
5.841
4.604
4.032
127.32 1
14.089
7.453
1
1.000
0.816
0.765
1.963
1.386
1.250
3.078
1.886
1.638
1.533
1.476
6.314
2.920
2.353
2.132
2.015
15.894
4.849
3.482
2.999
2.757
31.821
6.965
318.309 636.619
22.327
10.215
7173
5.893
31.599
12.924
8.610
6.869
3
4
4.541
3.747
0.741
0.727
1.190
1.156
5.598
4.773
3.365
0.906
1.943
1.895
1.860
1.833
1.812
2.447
2.365
2.306
2.262
2.228
3.143
2.998
2.896
2.821
2.764
3.707
3.499
3.355
3.250
3.169
5.959
5.408
5.041
1.134
0.718
0.711
0.706
0.703
0.700
1.440
1.415
1.397
5.208
4.785
4.501
4.297
2.612
2.517
4.317
4.029
3.833
3.690
3.581
7
8
0.896
0.889
0.883
0.879
1.119
1.108
1.100
1.093
2.449
2.398
2.359
1.383
4.781
4.587
10
1.372
4.144
0.876
0.873
0.870
0.868
0.866
1.363
1.356
1.350
1.345
0.697
0.695
2.201
2.179
2.160
2.328
11
12
13
14
15
0.694
0.692
0.691
1.088
1.083
1.079
1.076
1.074
1.796
1.782
1.771
1.761
2.303
2.282
2.264
2.249
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
2.145
2.131
1.341
1.753
0.690
0.689
0.688
0.688
0.687
0.865
0.863
0.862
0.861
0.860
2.583
2.567
2.552
2.539
2.528
3.686
3.646
3.610
1.071
2.235
2.224
2.214
2.205
2.197
2.921
3.252
16
17
18
19
20
1.069
1.067
1.066
1.064
1.337
1.333
1.330
1.328
1.325
1.746
1.740
1.734
2.120
2.110
2.101
2.093
2.086
2.898
2.878
2.861
2.845
3.222
3.197
3.174
3.153
4.015
3.965
3.922
3.883
3.850
1.729
1.725
3.579
3.552
0.686
0.686
0.685
0.685
0.684
2.831
2.819
2.807
2.797
1.063
1.061
2.080
2.074
21
22
23
24
25
0.859
0.858
0.858
0.857
0.856
1.323
1.321
1.319
1.318
1.316
2.189
2.183
2.177
2.172
2.167
2.518
2.508
2.500
2.492
2.485
1.721
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
1.717
1.060
1.059
1.058
1.714
1.711
1.708
2.069
2.064
2.060
2.787
26
27
28
0.684
0.684
0.683
0.856
0.855
0.855
1.058
1.057
1.056
1.315
1.314
1.313
1.706
1.703
2.056
2.052
2.048
2.162
2.158
2.154
2.479
2.473
2.467
2.779
2.771
2.763
3.067
3.057
3.435
3.421
3.707
3.690
3.674
1.701
3.047
3.408
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman