Homework Answers
Test Statistic :-
t = ( X̅ - µ ) / (S / √(n) )
t = ( 20990 - 20000 ) / ( 4100 / √(110) )
t = 2.53
Considering α = 0.05
Decision based on P value
P - value = P ( t > 2.5325 ) = 0.0064
Reject null hypothesis if P value < α = 0.05 level of
significance
P - value = 0.0064 < 0.05 ,hence we reject null hypothesis
Conclusion :- Reject null hypothesis
There is sufficient evidence to support the claim at 5% level of significance.
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It is claimed that automobiles are driven on average more than 20,000 kilometers per year. To...
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T Distribution Table
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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?
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t-Distribution Area in Right Tail .
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 ...
(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)...
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) Does the evidence suggest that community college transfer students take longer to attain a bachelor's...
(a) Does the evidence suggest that community
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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...
It is claimed that automobiles are driven on average more than 20,000 kilometers per year. To test this claim, 120 randomly selected automobile owners are asked to keep a record of the kilometers they travel. Would you agree with this claim if the random sample showed an average of 20,950 kilometers and a standard deviation of 4100 kilometers? Use a P-value in your conclusion Click here to view page 1 of the table of critical values of the t-distribution. Click...
It is claimed that automobiles are driven on average more than 21,000 kilometers per year. To test this claim, 100 randomly selected automobile owners are asked to keep a record of the kilometers they travel. Would you agree with this claim if the random sample showed an average of 21,350 kilometers and a standard deviation of 3700 kilometers? Use a P-value in your conclusion. Click here to view page 1 of the table of critical values of the t-distribution. Click...
It is claimed that automobiles are driven on average more than 19,000 kilometers per year. To test this claim, 100 randomly selected automobile owners are asked to keep a record of the kilometers they travel Would you agree with this claim if the random sample showed an average of 20,120 kilometers and a standard deviation of 4100 kilometers? Use a P-value in your conclusion Click here to view page 1 of the table of critical values of the t-distribution Click...
A random sample of 20 chocolate energy bars of a certain brand has, on average, 210 calories per bar, with a standard deviation of 15 calories. Construct a 99% confidence interval for the true mean calorie content of this brand of energy bar. Assume that the distribution of the calorie content is approximately normal. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Click here...
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...
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 ...
(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)...
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) 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...
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