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A group of researchers are interested in the possible effects of distracting stimuli during cating, such as an increase or decrease in the amount of food consumption. To test this hypothesis, they monitored food intake for a group of 40 patients who were randomized into two equal groups. The treatment group ate lunch while playing solitaire, and the control group ate lunch without any added distractions. On an average, patients in the treatment group ate 52 grams of biscuits, with a standard deviation of 45 grams, and patients in the control group ate 27 grams of biscuits, with a standard deviation of 26 grams. Do these data provide convincing evidence that the average food intake (measured in amount of biscuits consumed) is different for the patients in the treatment group? Assume that the amount of food intake is normally distributed and the population variances for treatment and control groups are equal. Explain briefly (in one or two sentence(s)) why we need to perform a two sample t-test and state the hypothesis. Compute the test statistic t. What is the critical value for a = 0.017. Draw a figure to identify the critical region. Do you reject or fail to reject the null hypothesis? What is the correct conclusion at a -0.01?

A group of researchers are interested in the possible effects of distracting stimuli during cating, such as an increase or decrease in the amount of food consumption. To test this hypothesis, they monitored food intake for a group of 40 patients who were randomized into two equal groups. The treatment group ate lunch while playing solitaire, and the control group ate lunch without any added distractions. On an average, patients in the treatment group ate 52 grams of biscuits, with a standard deviation of 45 grams, and patients in the control group ate 27 grams of biscuits, with a standard deviation of 26 grams. Do these data provide convincing evidence that the average food intake (measured in amount of biscuits consumed) is different for the patients in the treatment group? Assume that the amount of food intake is normally distributed and the population variances for treatment and control groups are equal. Explain briefly (in one or two sentence(s)) why we need to perform a two sample t-test and state the hypothesis. Compute the test statistic t. What is the critical value for a = 0.017. Draw a figure to identify the critical region. Do you reject or fail to reject the null hypothesis? What is the correct conclusion at a -0.01?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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A group of researchers are interested in the possible effects of distracting stimuli during cating, such as an increase or decrease in the amount of food consumption. To test this hypothesis, they monitored food intake for a group of 40 patients who were randomized into two equal groups. The treatment group ate lunch while playing solitaire, and the control group ate lunch without any added distractions. On an average, patients in the treatment group ate 52 grams of biscuits, with a standard deviation of 45 grams, and patients in the control group ate 27 grams of biscuits, with a standard deviation of 26 grams. Do these data provide convincing evidence that the average food intake (measured in amount of biscuits consumed) is different for the patients in the treatment group? Assume that the amount of food intake is normally distributed and the population variances for treatment and control groups are equal. Explain briefly (in one or two sentence(s)) why we need to perform a two sample t-test and state the hypothesis. Compute the test statistic t. What is the critical value for a=0.01?. Draw a figure to identify the critical region. Do you reject or fail to reject the null hypothesis? What is the correct conclusion at a = 0.01?
Transcribed Image Text:A group of researchers are interested in the possible effects of distracting stimuli during cating, such as an increase or decrease in the amount of food consumption. To test this hypothesis, they monitored food intake for a group of 40 patients who were randomized into two equal groups. The treatment group ate lunch while playing solitaire, and the control group ate lunch without any added distractions. On an average, patients in the treatment group ate 52 grams of biscuits, with a standard deviation of 45 grams, and patients in the control group ate 27 grams of biscuits, with a standard deviation of 26 grams. Do these data provide convincing evidence that the average food intake (measured in amount of biscuits consumed) is different for the patients in the treatment group? Assume that the amount of food intake is normally distributed and the population variances for treatment and control groups are equal. Explain briefly (in one or two sentence(s)) why we need to perform a two sample t-test and state the hypothesis. Compute the test statistic t. What is the critical value for a=0.01?. Draw a figure to identify the critical region. Do you reject or fail to reject the null hypothesis? What is the correct conclusion at a = 0.01?
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