A psychologist noted that people have more difficulty sleeping in a bright room than in a dark room. She measured whether the intensity of the light could predict the time it took a sample of 4 participants to fall asleep. The data for this hypothetical study are listed in the following table. Intensity of Light (in watts) Time It Took to Sleep (in minutes) X Y 5 13 10 21 20 31 40 37 Compute an analysis of regression for this hypothetical study. (Round your answers to two decimal places.) Source of Variation SS df MS Fobt Regression Residual (error) Total Make a decision to retain or reject the null hypothesis. (Assume alpha equal to 0.05.) Retain the null hypothesis. Reject the null hypothesis.
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We want to see if the intensity of the light (X) can predict the time it takes to fall asleep (Y). We can use a simple linear regression model: Y = a + bX where a is the intercept and b is the slope. We can use the least squares method to estimate these Show more…
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A psychologist noted that people have more difficulty sleeping in a bright room than in a dark room. She measured whether the intensity of the light could predict the time it took a sample of 4 participants to fall asleep. The data for this hypothetical study are listed in the following table. Intensity of Light (in watts) Time It Took to Sleep (in minutes) X Y 5 10 10 20 20 32 40 36 Compute an analysis of regression for this hypothetical study. (Round your answers to two decimal places.) Source of Variation SS df MS Fobt Regression Residual (error) Total Make a decision to retain or reject the null hypothesis. (Assume alpha equal to 0.05.) Retain the null hypothesis. Reject the null hypothesis.
Luke H.
Psychologists noted that people have more difficulty sleeping in bright rooms than in dark rooms. She measured whether the intensity of the light could predict the time it took a sample of participants to fall asleep. The data for this hypothetical study are listed in the following table: Intensity of Light (in watts) Time It Took to Sleep (In minutes) Compute an analysis of regression for this hypothetical study. (Round all answers to two decimal places.) Source of Variation MS Fobt Regression Residual (error) Total Make a decision to retain or reject the null hypothesis. (Assume alpha equal to 0.05.) Reject the null hypothesis.
Dominador T.
Researchers studying sleep loss followed the length of sleep in hours of 10 individuals with insomnia before and after cognitive behavioral therapy (CBT). Assume a 0.05 significance level to test the claim that there is a difference between the length of sleep of individuals before and after CBT. Also, assume the data consist of matched pairs; the samples are simple random samples; and the pairs of values are from a population having a distribution that is approximately normal. Find d of the length of sleep. Find sd of the length of sleep. Hint: Find Ed and Ed² in above table use short cut formula in chapter 3 Find the t test statistic. Identify the null hypothesis and alternative hypothesis to test the claim that there is a difference between the length of sleep of individuals before and after CBT. Claim: H0: H1: Find critical values and draw probability distribution curve with test statistic and critical region Test the given claim using the traditional method for hypothesis testing from matched pairs. State a conclusion about the null hypothesis State a final conclusion that addresses the original claim.
Shaiju T.
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