In this scenario, what is the test statistic? A doctor believes the average number of hours of sleep per night for adults is less than the recommended 9 hours. Sample size =25 adults Sample mean =8.5 hours Sample standard deviation =0.9 hours
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To calculate the test statistic for the given scenario, we will use the formula for the t-test statistic since the sample size is small (n < 30) and we do not know the population standard deviation. Show more…
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In this scenario, what is the test statistic? A doctor believes the average number of hours of sleep per night for adults is less than the recommended 9 hours. Sample size = 25 adults Sample mean = 8.5 hours Sample standard deviation = 0.9 hours Calculate the test statistic using the formula: t = (̄x - ̄μ₀) / (s / ∙n) where: ̄x = sample mean s = sample standard deviation n = sample size μ₀ = population mean under the null hypothesis Round your answer to 2 decimal places.
Adi S.
A researcher obtained times of sleep for randomly selected adult subjects included in the National Health and Nutritional Examination Study, and those times (hours) are listed below. Here are the Statistics for this sample: n=12, x-bar = 6.83, s = 1.99 hours. Assume that the times of sleep follow a normal distribution. A common recommendation is that adults should sleep between 7 hours and 9 hours each night. Use the P-value method with a 0.05 significance level to test the claim and that the mean amount of sleep for adults is less than 7 hours. 4,8,4,4,8,6,9,7,7,10,7,8
James K.
For the following scenario, select all that apply: A common recommendation is that adults should sleep between 7 hours and 9 hours each night. A sample of 12 randomly selected adult subjects was included in the National Health and Nutrition Examination Study. Assuming α = 0.05, the researchers want to test the claim that the mean amount of sleep for adults is less than 7 hours. The reported sample mean was 6.8 hours and the sample standard deviation was 2 hours. The normal probability plot looks reasonably straight. The standard error of the mean is 0.6 hours. The type of hypothesis test that should be performed is a one-sample z-test for one population mean. A two-sided 95% confidence interval is appropriate to make a decision about this hypothesis. The type of hypothesis test that should be performed is a one-sample t-test for one population mean.
Lucas F.
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