There are 6 identical research studies investigating percieved life satisfaction among younger adults following Covid lockdowns. Each research study collects a sample of 29 participants independently. Life satisfaction scores range from 0 to 60 with high scores indicative of high life satisfaction; low scores indicative of low life satisfaction. The research studies assess welbeing using a t test of one mean at a significance level of alpha=10%. As a result, 6 independent t statistics are reported, one from each of these studies. Under the null hypothesis in each of these studies, the t statistic is a random variable with a t distribution. Suppose that the test is an upper tail test and the null hypothesis is true. (1) What is the critical value for this test? (2) What is the probability that the first study's t statistic is less than the critical value? (3) What is the probability that all the t statistics are less than the critical value? (4) What is the probability that at least one t statistic is larger than the critical value?
There are 6 identical research studies investigating percieved life satisfaction among younger adults following Covid lockdowns. Each research study collects a sample of 29 participants independently. Life satisfaction scores
The research studies assess welbeing using a t test of one mean at a significance level of alpha=10%.
As a result, 6 independent t statistics are reported, one from each of these studies.
Under the null hypothesis in each of these studies, the t statistic is a random variable with a t distribution.
Suppose that the test is an upper tail test and the null hypothesis is true.
(1) What is the critical value for this test?
(2) What is the
(3) What is the probability that all the t statistics are less than the critical value?
(4) What is the probability that at least one t statistic is larger than the critical value?
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