Homework3

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San Jacinto Community College *

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Course

4371

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Statistics

Date

Apr 3, 2024

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pdf

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Uploaded by LisaAnn1

Homework 3 Students have two attempts to complete this homework. Their final grade will be an average of the two homework scores. The questions will ask you to round your answers when entering them. You should not round your answers when you are doing your calculations as this can create compounding errors. You should only round your answers to enter them into Canvas. Question at position 1 ____________ t-test compares data from two different groups of people. a dependent-samples an independent-samples a paired-samples a repeated-measures Question at position 2 __________________ t-test compares data from the same people measured at different times. an independent-samples a paired-samples a between-samples an unpaired-samples Question at position 3 To calculate the sum of squares for a sample, you divide the degrees of freedom of the sample by the variance of the sample. add the degrees of freedom of the sample to the variance of the sample. multiply the degrees of freedom of the sample by the variance of the sample. subtract the degrees of freedom of the sample from the variance of the sample. Question at position 4 The variance between groups as a ratio within groups is the ______________. critical t-value probability value pooled variance t-test statistic Question at position 5 You need to calculate the sum of squares for a sample, but you are only given the standard deviation of the sample . How can you calculate the sum of squares? square the standard deviation to calculate the variance and multiply that by the degrees of freedom of the sample Question at position 6 You hypothesize that drinking tea reduces stress levels so you design a study comparing stress levels between people who drink tea and people who do not drink tea. You collect data on 47 people and find that in your sample there are 21 people who do not drink tea and 26 people who drink tea. The mean stress score for non-tea drinkers is 76 with a standard deviation of 25, while the mean score for those who drink tea is 62 with a standard deviation of 13. What type of test would you perform? repeated measures ANOVA paired-samples t-test

within-samples t-test independent samples t-test Question at position 7 You hypothesize that drinking tea reduces stress levels so you design a study comparing stress levels between people who drink tea and people who do not drink tea. You collect data on 47 people and find that in your sample there are 21 people who do not drink tea and 26 people who drink tea. The mean stress score for non-tea drinkers is 76 with a standard deviation of 25, while the mean score for those who drink tea is 62 with a standard deviation of 13. What is the total degrees of freedom (N - 2; or df 1 +df 2 ). 45 Question at position 8 You hypothesize that drinking tea reduces stress levels so you design a study comparing stress levels between people who drink tea and people who do not drink tea. You collect data on 47 people and find that in your sample there are 21 people who do not drink tea and 26 people who drink tea. The mean stress score for non-tea drinkers is 76 with a standard deviation of 25, while the mean score for those who drink tea is 62 with a standard deviation of 13. Use the chart on page 557 of your textbook to determine the critical value of t at a p = .05 level (two-tailed test). Enter this value exactly as it appears in the critical values of t chart (three decimals). 2.014 Question at position 9 You hypothesize that drinking tea reduces stress levels so you design a study comparing stress levels between people who drink tea and people who do not drink tea. You collect data on 47 people and find that in your sample there are 21 people who do not drink tea and 26 people who drink tea. The mean stress score for non-tea drinkers is 76 with a standard deviation of 25, while the mean score for those who drink tea is 62 with a standard deviation of 13. Calculate the t-statistic. What is the POOLED VARIANCE. Round to the nearest tenth. Enter the absolute value of your answer (I.e., do not include a negative sign if the answer is negative). 5.7 Question at position 10 You hypothesize that drinking tea reduces stress levels so you design a study comparing stress levels between people who drink tea and people who do not drink tea. You collect data on 47 people and find that in your sample there are 21 people who do not drink tea and 26 people who drink tea. The mean stress score for non-tea drinkers is 76 with a standard deviation of 25, while the mean score for those who drink tea is 62 with a standard deviation of 13. Calculate and enter the t-statistic. Round to the nearest tenth. Enter the absolute value of your answer (I.e., do not include a negative sign if the answer is negative). 2.5 Question at position 11 You hypothesize that drinking tea reduces stress levels so you design a study comparing stress levels between people who drink tea and people who do not drink tea. You collect data on 47 people and find that in your sample there are 21 people who do not drink tea and 26 people who drink drink tea. The mean stress score for non-tea drinkers is 76 with a standard deviation of 25, while the mean score for those who drink tea is 62 with a standard deviation of 13. Above you have calculated the t-statistic and found the critical value of t. Based on this information, which of the follow statements is correct? you accept the null hypothesis because your calculated t-statistic value is less than than the critical value of t you reject the null hypothesis because your calculated t-statistic value is greater than the critical value of t you accept the null hypothesis because your calculated t-statistic value is greater than the critical value of t you accept the null hypothesis because your calculated t-statistic value is less than than the critical value of t Question at position 12

You hypothesize that drinking tea reduces stress levels so you design a study comparing stress levels between people who drink tea and people who do not drink tea. You collect data on 47 people and find that in your sample there are 21 people who do not drink tea and 26 people who drink drink tea. The mean stress score for non-tea drinkers is 76 with a standard deviation of 25, while the mean score for those who drink tea is 62 with a standard deviation of 13. Above you have calculated the t-statistic and found the critical value of t. Based on this information, is the difference between your two means STATISTICALLY SIGNIFICANT? No, because the t-statistic value calculated was less than the critical value of t, indicating that p > .05 No, because the t-statistic value calculated was larger than the critical value of t, indicating that p > .05 Yes, because the t-statistic value calculated was less than the critical value of t, indicting that p < .0 Yes, because the t-statistic value calculated was larger than the critical value of t, indicating that p < .05 Question at position 13 You are interested in investigating the efficacy of a new pain medication and design an experiment measuring pain levels before and after the administration of a new medication. You recruit 9 people to participate in your study and bring the same 9 participants in for two separate sessions. During one visit you measure their pain levels after taking a placebo pill. During the other visit you measure their pain levels after taking a pain pill. What type of t test would you run? You are interested in investigating the efficacy of a new pain medication and design an experiment measuring pain levels before and after the administration of a new medication. You recruit 9 people to participate in your study and bring the same 9 participants in for two separate sessions. During one visit you measure their pain levels after taking a placebo pill. During the other visit you measure their pain levels after taking a pain pill. What type of t test would you run? repeated-measures ANOVA paired-samples t-test independent samples t-test between-samples t-test Question at position 14 You are interested in investigating the efficacy of a new pain medication and design an experiment measuring pain levels before and after the administration of a new medication. You recruit 9 people to participate in your study and bring the same 9 participants in for two separate sessions. What is the N (total number of pairs) for this data? 18 Question at position 15 You are interested in investigating the efficacy of a new pain medication and design an experiment measuring pain levels before and after the administration of a new medication. You recruit 9 people to participate in your study and bring the same 9 participants in for two separate sessions. What is the degrees of freedom (N-1) of this data? You are interested in investigating the efficacy of a new pain medication and design an experiment measuring pain levels before and after the administration of a new medication. You recruit 9 people to participate in your study and bring the same 9 participants in for two separate sessions. What is the degrees of freedom (N-1) of this data? 8 Question 16 is unpinned. Click to pin. Question at position 16 You are interested in investigating the efficacy of a new pain medication and design an experiment measuring pain levels before and after the administration of a new medication. You recruit 9 people to participate in your study and bring the same 9 participants in for two separate sessions. What is the critical value of t at a p = .05 level (two-tailed tests)? Enter the value exactly as it appears in the critical values of t table. You are interested in investigating the efficacy of a new pain medication and design an experiment measuring pain levels before and after the administration of a new medication. You recruit 9 people to participate in your study and bring the

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same 9 participants in for two separate sessions. What is the critical value of t at a p = .05 level (two-tailed tests)? Enter the value exactly as it appears in the critical values of t table. 2.31 Question at position 17 You are interested in investigating the efficacy of a new pain medication and design an experiment measuring pain levels before and after the administration of a new medication. You recruit 9 people to participate in your study and bring the same 9 participants in for two separate sessions. Here is the raw data: Pair Number Placebo Pain Score Pain Medication Pain Score 1 5 5 2 7 5 3 10 8 4 5 4 5 8 4 6 7 3 7 8 5 8 6 3 9 8 2 Calculate the t-statistic. What is the mean difference (I.e., sum of differences divided by N) ? Round to the nearest tenth. 2.8 Question at position 18 You are interested in investigating the efficacy of a new pain medication and design an experiment measuring pain levels before and after the administration of a new medication. You recruit 9 people to participate in your study and bring the same 9 participants in for two separate sessions. Here is the raw data: Pair Number Placebo Pain Score Pain Medication Pain Score 1 5 5 2 7 5 3 10 8 4 5 4 5 8 4 6 7 3 7 8 5 8 6 3 9 8 2 Calculate the t-statistic. What is the standard deviation of differences ? Round to the nearest tenth. 1.8 Question at position 19 You are interested in investigating the efficacy of a new pain medication and design an experiment measuring pain levels before and after the administration of a new medication. You recruit 9 people to participate in your study and bring the same 9 participants in for two separate sessions. Here is the raw data: Pair Number Placebo Pain Score Pain Medication Pain Score 1 5 5 2 7 5

3 10 8 4 5 4 5 8 4 6 7 3 7 8 5 8 6 3 9 8 2 Calculate the t-statistic. What is the t-test statistic value? Round to the nearest tenth. 4.7 Question at position 20 What conclusion would you make on the above data, based on the t-value you calculated and the critical value of t? What conclusion would you make on the above data, based on the t-value you calculated and the critical value of t? You reject the null hypothesis because the t-value you calculated is inside the bounds of the critical t-value You accept the null hypothesis because the t-value you calculated is outside the bounds of the critical t-value You reject the null hypothesis because the t-value you calculated is outside the bounds of the critical t-value You accept the null hypothesis because the t-value you calculated is inside the bounds of the critical t-value Submit

Homework3

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