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Question 6 (3 points) A large p-value (above 10) means O we have some evidence that...
Consider a situation where we want to compare means, M1 and 42 of two populations, Group...
Consider a situation where we want to compare means, M1 and 42 of two populations, Group 1 and Group 2, respectively. A random sample of 40 observations was selected from each of the two populations. The following table shows the two-sample t test results at a = 5% assuming equal population variances: t-Test: Two-Sample Assuming Equal Variances Group 2 28652 33.460 40 Mean Variance Observations Pooled Variance Hypothesized Mean Difference d t Stat PTcut) one-tail Critical one-tail PTC-t) two-tail Critical...
Question 2 Suppose you have a fair coin (a coin is considered fair if there is...
Question 2 Suppose you have a fair coin (a coin is considered fair if there is an equal probability of being heads or tails after a flip). In other words, each coin flip i follows an independent Bernoulli distribution X Ber(1/2). Define the random variable X, as: i if coin flip i results in heads 10 if coin flip i results in tails a. Suppose you flip the coin n = 10 times. Define the number of heads you observe...
These are all True & False Questions. Just write the number and T/F 6. If we...
These are all True & False Questions. Just write the number and T/F 6. If we reject the null hypothesis, we can conclude that the sample differs from the population mean. T/F 7. Type II error occurs when we set α to high. T/F 8. The alpha level determines the risk of Type I error. T/F 9. In a two-tailed test, you need more evidence to reject the null hypothesis. T/F 10. If the researcher hypothesizes that a treatment will...
Question 3 (6 points) Which of the following statements ARE CORRECT about hypothesis tests we cover...
Question 3 (6 points) Which of the following statements ARE CORRECT about hypothesis tests we cover in Stats I? Select all that apply! Question 3 options: We use the normal distribution when we conduct a hypothesis test about a population mean. We use the t-distribution when we conduct a hypothesis test about a population proportion. Researchers get to choose the significance level. A few popular choices are 10%, 5% and 1%. However, it is not possible to choose 0%! We...
31. (4 points (bonus)) Use the following information to answer the question. A research company developed...
31. (4 points (bonus)) Use the following information to answer the question. A research company developed a drug to help lung cancer patients live longer. Without treat- ment, the average life expectancy for lung cancer patients is 3.2 months. The research company claim that their drug help cancer patients live longer. Suppose he does a hypothesis test with a significance level of 0.05. Symbolically, the null and alternative hypothesis are as follows: Ho: μ =3.2 and Ha: μ > 3.2....
If the p-value = 0.4567, then which of the following is true. A. We fail to...
If the p-value = 0.4567, then which of the following is true. A. We fail to reject Ho at a significance level = .05 B. We fail to reject Ho at a significance level = .10 C. We fail to reject Ho at a significance level = .01 D. All of these answers are correct When choosing between a biased but very efficient estimator and an unbiased but very inefficient estimator, we should choose the one with the minimum Mean...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. A test of sobriety involves measuring the subject's motor skills. A study of n = 20 randomly selected sober subjects take the test and produce a mean score of X = 41.0, and we know that o = 3.7. At the 0.01 level of significance, test the claim that the true mean score for all sober subjects is...
1. A ___________ is a statistical interval around a point estimate that we can provide a...
1. A ___________ is a statistical interval around a point estimate that we can provide a level of confidence to for capturing the true population parameter. population parameter confidence level point estimate confidence interval standard error of the mean 2. Which of the following best describe the standard error of the mean? It is the difference between an observed sample mean and the true population mean It is the statistical interval that provides a level of confidence around an observed...
6. The median, or Q2, is nothing special. When creating a sign test, we could have designed the testing infrastructure...
6. The median, or Q2, is nothing special. When creating a sign test, we could have designed the testing infrastructure around the first quartile, Q1, instead. Suppose we set a null hypothesis of Ho: q = go, where q is a symbol for the first quartile, go is a constant, and we are dealing with a continuous random variable X. a. Assuming Ho, we collect n values from X: Xi,..., Xn If U is the number of observations less than...
If we wish to carry out inference procedures on the mean of a normally distributed population...
If we wish to carry out inference procedures on the mean of a normally distributed population where sigma is known, we a) Click for List - should use the distribution. b) Click for List Both the t distribution and the standard normal distribution have a median of O. c) Click for List For the t distribution, the mean and variance are always equal. d) Click for List The t distribution has more area in the tails than the standard normal...
Consider a situation where we want to compare means, M1 and 42 of two populations, Group 1 and Group 2, respectively. A random sample of 40 observations was selected from each of the two populations. The following table shows the two-sample t test results at a = 5% assuming equal population variances: t-Test: Two-Sample Assuming Equal Variances Group 2 28652 33.460 40 Mean Variance Observations Pooled Variance Hypothesized Mean Difference d t Stat PTcut) one-tail Critical one-tail PTC-t) two-tail Critical...
Question 2 Suppose you have a fair coin (a coin is considered fair if there is an equal probability of being heads or tails after a flip). In other words, each coin flip i follows an independent Bernoulli distribution X Ber(1/2). Define the random variable X, as: i if coin flip i results in heads 10 if coin flip i results in tails a. Suppose you flip the coin n = 10 times. Define the number of heads you observe...
31. (4 points (bonus)) Use the following information to answer the question. A research company developed a drug to help lung cancer patients live longer. Without treat- ment, the average life expectancy for lung cancer patients is 3.2 months. The research company claim that their drug help cancer patients live longer. Suppose he does a hypothesis test with a significance level of 0.05. Symbolically, the null and alternative hypothesis are as follows: Ho: μ =3.2 and Ha: μ > 3.2....
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. A test of sobriety involves measuring the subject's motor skills. A study of n = 20 randomly selected sober subjects take the test and produce a mean score of X = 41.0, and we know that o = 3.7. At the 0.01 level of significance, test the claim that the true mean score for all sober subjects is...
6. The median, or Q2, is nothing special. When creating a sign test, we could have designed the testing infrastructure around the first quartile, Q1, instead. Suppose we set a null hypothesis of Ho: q = go, where q is a symbol for the first quartile, go is a constant, and we are dealing with a continuous random variable X. a. Assuming Ho, we collect n values from X: Xi,..., Xn If U is the number of observations less than...
If we wish to carry out inference procedures on the mean of a normally distributed population where sigma is known, we a) Click for List - should use the distribution. b) Click for List Both the t distribution and the standard normal distribution have a median of O. c) Click for List For the t distribution, the mean and variance are always equal. d) Click for List The t distribution has more area in the tails than the standard normal...
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