Suppose you are testing a left tailed hypotheses. The rejection region for large sample test statistic z with a = 0.01 is z < -2.33 True False
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- An analyst is conducting a hypothesis test to determine if the mean time spent on investment research is different from 3 hours per day. The test is performed at the 1% level of significance and uses a random sample of 64 portfolio managers. where the mean time spent on research is found to be 2.7 hours. The population standard deviation is 1.5 hours. What is the value of the test statistic in this case?Researchers collected data on mother’s and father’s IQ of 36 randomly sampled gifted children. The histogram below shows the distribution of mother’s IQ, whose average is 118.2 and standard deviation is 6.5. (a) Perform a hypothesis test to evaluate if these data provide convincing evidence that the average IQ of mothers of gifted children is different than the average IQ for the population at large, which is 100. Use a significance level of 0.10. (b) Calculate a 90% confidence interval for the average IQ of mothers of gifted children. (c) Do your results from the hypothesis test and the confidence interval agree? Explain.Describe the difference in the conclusions that one could draw from a sample T-test when CLT did NOT kick in, as in qqnorm() did not show a normal distribution for the sample size. What could one do instead of a T-test, and what would their test statistic be?
- If alpha is 5%, what is the level of confidence in a right-tailed Ztest?In a random sample of males, it was found that 29 write with their left hands and 212 do not. In a random sample of females, it was found that 70 write with their left hands and 444 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below.random sample of 25 business students required an average of 50.7 minutes to complete a statistics exam. Assume that the population standard deviation to complete the exam was 10.4 minutes. The 99% confidence interval around this sample mean is
- "This year s statistics class was small (only 15 students). This group averaged 74.5 on the final exam with a sample standard deviation of 3.2. Assuming that this group is a random sample of all students who have taken statistics and the scores in the final exam for all the students are approximately normally distributed, which of the following is an approximate 96% confidence interval for the true population mean of all statistics students? "A small p-value means that the probability of obtaining a sample mean more extreme than the one observed is low under the null. True or False?A researcher wishes to test whether the mean of a normally distributed population is greater than 1.06 at the 5% significance level. Based upon 22 independent observations, she observes a sample mean of 1.77 and a sample standard deviation of 0.84. Determine the degrees of freedom of the null distribution of Student's t test.