t-Distribution Area in Right Tail
Degrees of Freedom 0.25 0.2
0.15 0.10 0.05
0.025 0.02 0.01
0.005 0.0025 0.001 0.0005
1 1.000 1.376 1.963
3.078 6.314 12.706
15.894 31.821 63.657
127.321 318.309 636.619
2 0.816 1.061 1.386
1.886 2.920 4.303
4.849 6.965 9.925
14.089 22.327 31.599
3 0.765 0.978 1.250
1.638 2.353 3.182
3.482 4.541 5.841
7.453 10.215 12.924
4 0.741 0.941 1.190
1.533 2.132 2.776
2.999 3.747 4.604
5.598 7.173 8.610
5 0.727 0.920 1.156
1.476 2.015 2.571
2.757 3.365 4.032
4.773 5.893 6.869
6 0.718 0.906 1.134
1.440 1.943 2.447
2.612 3.143 3.707
4.317 5.208 5.959
7 0.711 0.896 1.119
1.415 1.895 2.365
2.517 2.998 3.499
4.029 4.785 5.408
8 0.706 0.889 1.108
1.397 1.860 2.306
2.449 2.896 3.355
3.833 4.501 5.041
9 0.703 0.883 1.100
1.383 1.833 2.262
2.398 2.821 3.250
3.690 4.297 4.781
10 0.700 0.879 1.093
1.372 1.812 2.228
2.359 2.764 3.169
3.581 4.144 4.587
11 0.697 0.876 1.088
1.363 1.796 2.201
2.328 2.718 3.106
3.497 4.025 4.437
12 0.695 0.873 1.083
1.356 1.782 2.179
2.303 2.681 3.055
3.428 3.930 4.318
13 0.694 0.870 1.079
1.350 1.771 2.160
2.282 2.650 3.012
3.372 3.852 4.221
14 0.692 0.868 1.076
1.345 1.761 2.145
2.264 2.624 2.977
3.326 3.787 4.140
15 0.691 0.866 1.074
1.341 1.753 2.131
2.249 2.602 2.947
3.286 3.733 4.073
16 0.690 0.865 1.071
1.337 1.746 2.120
2.235 2.583 2.921
3.252 3.686 4.015
17 0.689 0.863 1.069
1.333 1.740 2.110
2.224 2.567 2.898
3.222 3.646 3.965
18 0.688 0.862 1.067
1.330 1.734 2.101
2.214 2.552 2.878
3.197 3.610 3.922
19 0.688 0.861 1.066
1.328 1.729 2.093
2.205 2.539 2.861
3.174 3.579 3.883
20 0.687 0.860 1.064
1.325 1.725 2.086
2.197 2.528 2.845
3.153 3.552 3.850
21 0.686 0.859 1.063
1.323 1.721 2.080
2.189 2.518 2.831
3.135 3.527 3.819
22 0.686 0.858 1.061
1.321 1.717 2.074
2.183 2.508 2.819
3.119 3.505 3.792
23 0.685 0.858 1.060
1.319 1.714 2.069
2.177 2.500 2.807
3.104 3.485 3.768
24 0.685 0.857 1.059
1.318 1.711 2.064
2.172 2.492 2.797
3.091 3.467 3.745
25 0.684 0.856 1.058
1.316 1.708 2.060
2.167 2.485 2.787
3.078 3.450 3.725
26 0.684 0.856 1.058
1.315 1.706 2.056
2.162 2.479 2.779
3.067 3.435 3.707
27 0.684 0.855 1.057
1.314 1.703 2.052
2.158 2.473 2.771
3.057 3.421 3.690
28 0.683 0.855 1.056
1.313 1.701 2.048
2.154 2.467 2.763
3.047 3.408 3.674
29 0.683 0.854 1.055
1.311 1.699 2.045
2.150 2.462 2.756
3.038 3.396 3.659
30 0.683 0.854 1.055
1.310 1.697 2.042
2.147 2.457 2.750
3.030 3.385 3.646
31 0.682 0.853
1.054 1.309 1.696
2.040 2.144 2.453
2.744 3.022 3.375 3.633
32 0.682 0.853
1.054 1.309 1.694
2.037 2.141 2.449
2.738 3.015 3.365 3.622
33 0.682 0.853
1.053 1.308 1.692
2.035 2.138 2.445
2.733 3.008 3.356 3.611
34 0.682 0.852
1.052 1.307 1.691
2.032 2.136 2.441
2.728 3.002 3.348 3.601
35 0.682 0.852
1.052 1.306 1.690
2.030 2.133 2.438
2.724 2.996 3.340 3.591
36 0.681 0.852
1.052 1.306 1.688
2.028 2.131 2.434
2.719 2.990 3.333 3.582
37 0.681 0.851
1.051 1.305 1.687
2.026 2.129 2.431
2.715 2.985 3.326 3.574
38 0.681 0.851
1.051 1.304 1.686
2.024 2.127 2.429
2.712 2.980 3.319 3.566
39 0.681 0.851
1.050 1.304 1.685
2.023 2.125 2.426
2.708 2.976 3.313 3.558
40 0.681 0.851
1.050 1.303 1.684
2.021 2.123 2.423
2.704 2.971 3.307 3.551
50 0.679 0.849
1.047 1.299 1.676
2.009 2.109 2.403
2.678 2.937 3.261 3.496
60 0.679 0.848
1.045 1.296 1.671
2.000 2.099 2.390
2.660 2.915 3.232 3.460
70 0.678 0.847
1.044 1.294 1.667
1.994 2.093 2.381
2.648 2.899 3.211 3.435
80 0.678 0.846
1.043 1.292 1.664
1.990 2.088 2.374
2.639 2.887 3.195 3.416
90 0.677 0.846
1.042 1.291 1.662
1.987 2.084 2.368
2.632 2.878 3.183 3.402
100 0.677 0.845
1.042 1.290 1.660
1.984 2.081 2.364
2.626 2.871 3.174 3.390
1000 0.675 0.842
1.037 1.282 1.646
1.962 2.056 2.330
2.581 2.813 3.098 3.300
z 0.674 0.842 1.036
1.282 1.645 1.960
2.054 2.326 2.576
2.807 3.090 3.291
Homework Answers
t-distribution Table -Distribution Area in Right Tail 0.025 0.02 df 0.25 0.20 0.15 0.10 0.05 0.01...
t-distribution Table -Distribution Area in Right Tail 0.025 0.02 df 0.25 0.20 0.15 0.10 0.05 0.01 0.005 0.0025 0.001 0.0005 3 6 1.000 1.3761.963 0.816 1.061 1.386 0.765 0.978 1.250 0.741 0.941 1.190 0.727 0.9201.156 0.718 0.906 1.134 0.7110.8961.119 0.706 0.889 1.108 0.703 0.883 1.100 0.700 0.879 1.093 0.697 0.876 1.088 0.695 0.873 1.083 0.694 0.870 1.079 0.692 0.868 1.076 0.691 0.866 1.074 0.690 0.865 1.071 0.689 0.863 1.069 0.688 0.862 1.067 0.688 0.861 1.066 3.078 1.886 1.638 1.533 1.476...
(a) Does the evidence suggest that community college transfer students take longer to attain a bachelor's...
(a) Does the evidence suggest that community
college transfer students take longer to attain a bachelor's
degree? Use an α = 0.05 level of significance. Perform a hypothesis
test. Determine the null and alternative hypotheses.
(b) Determine the test statistic (t =
?) and the P-value (P = ?). Round to two decimal
places as needed.
(c) Construct a 90% confidence interval for
(μcommunity college − μno transfer) to
approximate the mean additional time it takes to complete a
bachelor's...
9.2.17 Question Help A simple random sample of size nis drawn from a population that is...
9.2.17 Question Help A simple random sample of size nis drawn from a population that is normally distributed. The sample mean, X, is found to be 106, and the sample standard deviations, is found to be 10. (a) Construct a 96% confidence interval about if the sample size, n, is 17 (b) Construct a 96% confidence interval about if the sample size, n, is 22 (c) Construct a 98% confidence interval about if the sample size, n, is 17 id...
(a) Is there a difference in the measurement of the muzzle velocity between device A and...
(a) Is there a difference
in the measurement of the muzzle velocity between device A and
device B at the α = 0.01 level of significance? Note: A normal
probability plot and boxplot of the data indicate that the
differences are approximately normally distributed with no
outliers. Let di = Ai − Bi.
(i) Identify the null and alternative
hypotheses.
(ii) Determine the test statistic for
this hypothesis test (t0 = ?). Round to two
decimal places as needed.
(iii)...
T Distribution Table The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A...
T Distribution Table
The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 25 people reveals the mean yearly consumption to be 82 gallons with a standard deviation of 24 gallons. Assume that the population distribution is normal. (Use Distribution Table.) a-1. What is the value of the population mean? 82 24 Unknown a-2. What is the best estimate of this value? Estimate population mean c. For a 90% confidence interval, what is the value...
why is thr p value 0.001 if the value falls off of the table and the...
why
is thr p value 0.001 if the value falls off of the table and the
greatest number is 3.965 so shouldnt jt be .0005?
1. Hutchinson-Gilford progeria syndrome is a rare genetic condition that produces rapid aging in children. In individuals with the syndrome, cardiovascular disease in a common cause of death in the teenage years. A clinical study examined the effect of treatment with the drug lonafarnib and measured the pulse wave velocity (PWV), an important component of...
Suppose a huge internet-based lighting company receives a shipment of several thousand boxes of light bulbs...
Suppose a huge internet-based lighting company receives a shipment of several thousand boxes of light bulbs every Tuesday. Inspectors return the merchandise to the manufacturer if the proportion of damaged light bulbs is more than 0.06 (6%). Rather than inspect all of the packages, 100 boxes are randomly sampled. As long as at least 10 damaged and 10 undamaged light bulbs are found, a one-sample z-test is run with a significance level of 0.01 to see if the proportion of...
I ONLY NEED HELP WITH PART OF PART "B" I've figured out the test statistic is -1.73 and the degr...
I ONLY NEED HELP WITH PART OF PART "B"
I've figured out the test statistic is -1.73 and the degrees of
freedom are 5. However, I'm having a hard time finding the P value
via the chart (which I'm required to learn how to do).I think the
chart immediately bellow this is the one used to find the p-value.
However, I know at least one (or more) of the charts bellow is
what's used. Please let me know which chart...
I ONLY NEED HELP WITH PART OF PART "B" I've figured out the test statistic is...
I ONLY NEED HELP WITH PART OF PART "B"
I've figured out the test statistic is -1.73 and the degrees of
freedom are 5. However, I'm having a hard time finding the P value
via the chart (which I'm required to learn how to do).I think the
chart immediately bellow this is the one used to find the p-value.
However, I know at least one (or more) of the charts bellow is
what's used. Please let me know which chart...
t-distribution Table -Distribution Area in Right Tail 0.025 0.02 df 0.25 0.20 0.15 0.10 0.05 0.01 0.005 0.0025 0.001 0.0005 3 6 1.000 1.3761.963 0.816 1.061 1.386 0.765 0.978 1.250 0.741 0.941 1.190 0.727 0.9201.156 0.718 0.906 1.134 0.7110.8961.119 0.706 0.889 1.108 0.703 0.883 1.100 0.700 0.879 1.093 0.697 0.876 1.088 0.695 0.873 1.083 0.694 0.870 1.079 0.692 0.868 1.076 0.691 0.866 1.074 0.690 0.865 1.071 0.689 0.863 1.069 0.688 0.862 1.067 0.688 0.861 1.066 3.078 1.886 1.638 1.533 1.476...
(a) Does the evidence suggest that community
college transfer students take longer to attain a bachelor's
degree? Use an α = 0.05 level of significance. Perform a hypothesis
test. Determine the null and alternative hypotheses.
(b) Determine the test statistic (t =
?) and the P-value (P = ?). Round to two decimal
places as needed.
(c) Construct a 90% confidence interval for
(μcommunity college − μno transfer) to
approximate the mean additional time it takes to complete a
bachelor's...
9.2.17 Question Help A simple random sample of size nis drawn from a population that is normally distributed. The sample mean, X, is found to be 106, and the sample standard deviations, is found to be 10. (a) Construct a 96% confidence interval about if the sample size, n, is 17 (b) Construct a 96% confidence interval about if the sample size, n, is 22 (c) Construct a 98% confidence interval about if the sample size, n, is 17 id...
(a) Is there a difference
in the measurement of the muzzle velocity between device A and
device B at the α = 0.01 level of significance? Note: A normal
probability plot and boxplot of the data indicate that the
differences are approximately normally distributed with no
outliers. Let di = Ai − Bi.
(i) Identify the null and alternative
hypotheses.
(ii) Determine the test statistic for
this hypothesis test (t0 = ?). Round to two
decimal places as needed.
(iii)...
T Distribution Table
The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 25 people reveals the mean yearly consumption to be 82 gallons with a standard deviation of 24 gallons. Assume that the population distribution is normal. (Use Distribution Table.) a-1. What is the value of the population mean? 82 24 Unknown a-2. What is the best estimate of this value? Estimate population mean c. For a 90% confidence interval, what is the value...
why
is thr p value 0.001 if the value falls off of the table and the
greatest number is 3.965 so shouldnt jt be .0005?
1. Hutchinson-Gilford progeria syndrome is a rare genetic condition that produces rapid aging in children. In individuals with the syndrome, cardiovascular disease in a common cause of death in the teenage years. A clinical study examined the effect of treatment with the drug lonafarnib and measured the pulse wave velocity (PWV), an important component of...
Suppose a huge internet-based lighting company receives a shipment of several thousand boxes of light bulbs every Tuesday. Inspectors return the merchandise to the manufacturer if the proportion of damaged light bulbs is more than 0.06 (6%). Rather than inspect all of the packages, 100 boxes are randomly sampled. As long as at least 10 damaged and 10 undamaged light bulbs are found, a one-sample z-test is run with a significance level of 0.01 to see if the proportion of...
I ONLY NEED HELP WITH PART OF PART "B"
I've figured out the test statistic is -1.73 and the degrees of
freedom are 5. However, I'm having a hard time finding the P value
via the chart (which I'm required to learn how to do).I think the
chart immediately bellow this is the one used to find the p-value.
However, I know at least one (or more) of the charts bellow is
what's used. Please let me know which chart...
I ONLY NEED HELP WITH PART OF PART "B"
I've figured out the test statistic is -1.73 and the degrees of
freedom are 5. However, I'm having a hard time finding the P value
via the chart (which I'm required to learn how to do).I think the
chart immediately bellow this is the one used to find the p-value.
However, I know at least one (or more) of the charts bellow is
what's used. Please let me know which chart...
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