Question Help ▼ To test Ho: p= 100 versus H,: p# 100, a simple random sample size of n= 17 is obtained from a population that is known to be normally distributed. Answer par (a)-(d). E Click here to view the t-Distribution Area in Right Tail. (a) If x = 105.1 and s = 8.2, compute the test statistic. t= 2.564 (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the a= 0.01 level of significance, determine the critical values. The critical values are (Use a comma to separate answers as needed. Round to three decimal places as needed.)
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
If the researchers and sides to test this hypothesis at a = 0.01 level of significance, determine the critical values. The critical values are_. Use a comma to separate answers as needed. Round to three decimal places as needed.
![t-Distribution
Area in Right Tail
JP
0.25
0.20
0.15
0.05
0.025
0.01
0,001
0.0005
JP
I L.000 1.376 1.963 3.078 6.314 12.706
2 0.816 1.061 1.386 1.886 2.920 4.303
3 0.765 0.978 1.250 1.638 2.353
4 0.741 0.941 1.190 1.533 2.132 2.776
5 0.727 0.920 1,156 1476 2015 2.571 2.757 3.365
31.821 63.657 127.321 318.309
1.
2.
61999
4.849 6.965 9.925 14.089
7.453
22.327 31.599
10.215
7.173
5.893
3.182 3.482 4.541 S.841
2.999 3.747 4.604
12.924
865'S
0198
4.773
2.612 3.143 3.707
3.499
3.355
5.208
4.785
4.501
4.297
5.959
5.408
5.041 8
7 0.711 0.896 1.119 1415 1.895 2.365
* 0.706 0.889 1.108 1.397 1.860 2.306
9 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2.821 3.250
10 0.700 0.879 1.093 1372 1812
11 0.697 0.876 1.088 1.363 1796
12 0.695 0.873 1.083 1.356 1.782 2.179 2.303 2.68i 3.055
13 0.694 0.870 1.079 1.350 1.771 2.160
14 0.692 0.868
2.517 2.998
4.029
3,833
2.228 2.359
069
3.581
6 18
691
2.328 2.718 3.106
2.764
2.282
2.264
2.249
3.428
2.650 3.012 3.372
3.326
3.286
4.025
3.930
3.852
3.787
3.733
4.437 11
4318 12
4.221 13
4.140 14
4.073 15
15 0691 0.866 1.074 1.341 1.753
1.076 1.345 1.761 2.145
2.624 2.977
2.602
2.131
16 0.690 0.865 1.071 1337 1.746
17
2.921
2.898
4015 16
3.965 17
2.235
3.252
2.583
2.224 2.567
2.214 2.552
2.205 2.539
2.197
2.110
3.646
8890 XI
0.862 1067 1330 1.734
8890 61
0.861 1.066 1.328 1.729
0.860 1.064 1.325 1.725
2.093
2.086
2.861
2.845
3.197
3.174
3.153
019E
3.579
3.850
3819 21
3.792 22
3.768 23
3.745 24
3.725 25
3.552
0.859 1.063 1.323 1.721
22 0.686 0.858 1.061 1.321 1.717
23 0.685 0858 1.060 1.319 1714
24 0.685 0857 1.059 1.318 1.711
3.527
3.505
2.831
681
2.183 2508
2518
2.080
2.074.
9890 07
3.104
LLI7
690
2.172
000
2.064
25
1.058 1.316 1.708
2.167
2.485
2.787
3.078
3.450
3.707 26
3.690 27
28
3.435
0.856 1.058 1.315 1.706
1.057 1.314 1.703
0.683 0.855 1.056 1.313 1.701
29 0.683 0.854 1.055 1311 1.699
1.055 1.310 1.697
2.479
2.473
0.684
2,056
2.052
2.048
2.045
2.162
2.158
2.154
2.150
27 0684 0.855
3.674
2.763
2.756
2.750
3.047
2.462
2.457
3.038
3.030
3.396
3.385
30
3.633 31
3.622 32
0.683 0.854
30
2.453
2.449
2445
2.441
2.744
2.738
2.733
0.853
3375
2.040
169T
2.037
1.054 1.309
2.144
969
32
0.682
T890
0.853 1.054 1.309
0.853 1.053 1.308 1.692
0.852 1.052 1.307 1.691
3.356
3.348
3.340
* 119
だ 109E
33
2.035
2.136
2.133
3.591 35
0.852 1.052
1.306 1.690
8891 90
2.028
2.024 2.127
2.023 2.125 2.426
2.021
0.852 1.052
0.851 1.051 1305
0.851 L051 1.304 1.686
2.434
2431
3.333
3.326
0.681
2.131
3.582 36
2.715
2.985
37
3.566
3.558 39
1890
38.
39 0.681 0.851
40 0.681 0.851 1050
3.313
3.307
2.708
1.050 1304 1685
1.050
1.303 1.684
2123
2.937
3.496 50
1.299 1.676
0.848 1.045 1.296 1671
0.847 1.044 1294 1.667
1043 1.292 1.664
0.846 1.042 1291 1662
60109
3.232
3.211
3.195
2.915
09
09
2.381 2.648
3.435
3.416
3.402
1.994
70
06 0
1.987
2,887
2.878
0.846
2.374
2.639
2.368
06
3390 100
3.300 1000
06
0.677
3.183
09
1.962
3.174
1807
2.330
0677 0.845 1.042 1.290
2.626
0.675 0.842 1.037 1.282 1.646
0.674 0.842 1.036 1.282 L645
2.813
860
2.054
096T
0,025
00 0
2.576
2.326
df 0.25
0.15
0.05
0.005 0.0025
0.001
JP 00 00](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60d4aa4c-1bea-4c2c-9dcc-900e58931808%2Fc3c1b29f-8840-4348-95e2-6298840db63c%2Fryrs8a7_processed.jpeg&w=3840&q=75)
![Question Help ▼
To test Ho: p= 100 versus H, p 100, a simple random sample size of n 17 is obtained from a population that is known to be normally distributed. Answer parts
(a)-(d).
EA Click here to view the t-Distribution Area in Right Tail.
(a) If x 105.1 and s 8.2, compute the test statistic.
t= 2.564 (Round to three decimal places as needed.)
(b) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, determine the critical values.
The critical values are
(Use a comma to separate answers as needed. Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60d4aa4c-1bea-4c2c-9dcc-900e58931808%2Fc3c1b29f-8840-4348-95e2-6298840db63c%2F493p9gh_processed.jpeg&w=3840&q=75)
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