Hypothesis Testing
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Question 1 of 10
1. Question
Louis was tasked to find out if the commission charged by brokerages in the UK is significantly higher than that charged by brokerages in the US. Louis obtained a random sample of 40 transactions from the UK and 50 transactions from the US. The underlying distributions can be assumed to be normal, and the samples can be assumed independent. Louis also decided that their variances can be assumed to be equal.
Which test statistic should Louis use?
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Question 2 of 10
2. Question
Louis was tasked to find out if the commission charged by brokerages in the UK is significantly higher than that charged by brokerages in the US. Louis obtained a random sample of 40 transactions from the UK and 50 transactions from the US. The underlying distributions can be assumed to be normal, and the samples can be assumed independent. Louis also decided that their variances can be assumed to be equal.
Which is the degrees of freedom?
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Question 3 of 10
3. Question
Louis was tasked to find out if the commission charged by brokerages in the UK is significantly higher than that charged by brokerages in the US. Louis obtained a random sample of 40 transactions from the UK and 50 transactions from the US. The underlying distributions can be assumed to be normal, and the samples can be assumed independent. Louis also decided that their variances can be assumed to be equal.
If the test statistic was found to be 2.18 and the critical value is 2.374, what conclusion can be made at 1% significance level?
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Question 4 of 10
4. Question
Louis was tasked to find out if the commission charged by brokerages in the UK is significantly higher than that charged by brokerages in the US. Louis obtained a random sample of 40 transactions from the UK and 50 transactions from the US. The underlying distributions can be assumed to be normal, and the samples can be assumed independent. Louis also decided that their variances can be assumed to be equal.
What should the null hypothesis be?
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Question 5 of 10
5. Question
Louis was tasked to find out if the commission charged by brokerages in the UK is significantly higher than that charged by brokerages in the US. Louis obtained a random sample of 40 transactions from the UK and 50 transactions from the US. The underlying distributions can be assumed to be normal, and the samples can be assumed independent. Louis also decided that their variances can be assumed to be equal.
What is the decision rule if significance level is set at 1%??
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Question 6 of 10
6. Question
Studies have shown the returns of stocks in Market A are independent from the returns of stocks in Market B. Muthusamy wishes to test his suspicion that the volatility of the stocks in market A is significantly higher than that of Market B
He obtained 10 samples from Market A, and 8 samples from Market B. The standard deviation of the samples from Market A is s_a = 15.8%, while the standard deviation of the samples from Market B is s_b = 7.3%.
Determine the null hypothesis H0, and the alternative hypothesis HA for the test.
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Question 7 of 10
7. Question
Studies have shown the returns of stocks in Market A are independent from the returns of stocks in Market B. Muthusamy wishes to test his suspicion that the volatility of the stocks in market A is significantly higher than that of Market B
He obtained 10 samples from Market A, and 8 samples from Market B. The standard deviation of the samples from Market A is s_a = 15.8%, while the standard deviation of the samples from Market B is s_b = 7.3%.
Given the hypotheses,
H0: sigma_a <= sigma_b HA: sigma_a > sigma_b
What should be the decision rule for the test, at 5% significance level?
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Question 8 of 10
8. Question
Studies have shown the returns of stocks in Market A are independent from the returns of stocks in Market B. Muthusamy wishes to test his suspicion that the volatility of the stocks in market A is significantly higher than that of Market B
He obtained 10 samples from Market A, and 8 samples from Market B. The standard deviation of the samples from Market A is s_a = 15.8%, while the standard deviation of the samples from Market B is s_b = 7.3%.
Given,
H0: sigma_a <= sigma_b HA: sigma_a > sigma_b
Decision rule: F > 3.68
What is the statistical conclusion?
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Question 9 of 10
9. Question
The level of significance of a hypothesis test is best used to:
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Question 10 of 10
10. Question
The probability of correctly rejecting the null hypothesis is the:
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