stat hwrk # 6

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University of Houston, Downtown *

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2305

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Electrical Engineering

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Apr 3, 2024

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docx

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Uploaded by CaptainDragonMaster553

Homework # 6 1. List numerator value. The mean difference of the pair data = 1125.375 2. List the denominator value. To help with your calculations: the standard deviation of the difference scores = 835.37 835.374 / √ 8 = 295.349 3. Compute the t -test from above using SPSS. Paste the table containing the t value into your homework. Paired Samples Test Paired Differences Mean Std. Deviation Std. Error Mean 95% Confidenc e Interval of the Difference Lower upper t df Sig. (2- tailed) Pair 1 Esophageal Impedance, Baseline - Esophageal Impedance, 2- Week Follow-up 1125.3 75 835.374 295.349 426.985 1823.765 3.810 7 .007 4. Is the t significant at a=0.05? Specify how you arrived at your answer.

The critical t value for 7 degrees of freedom at alpha 0.05 is 2.365 for a two-tailed test. The t is 3.81 which exceeds the critical value (2.365) and it means the t-test is statistically significant and represents a real difference between the groups. 5. What is the exact likelihood of obtaining the calculated t value at least as extreme or as close to the one that was actually observed, assuming that the null hypothesis is true? The exact likelihood of obtaining a t-test value at least as extreme as or as close to the one that was actually observed, assuming the null hypothesis is true, was less than 0.07% 6. Write your interpretation of the results of the paired samples t -test, as you would in an APA-formatted journal. A paired sample t-test conducted computed on change in esophageal impedance revealed that the patients taking proton pump inhibitors had significantly lower numbers in esophageal impedance from baseline to follow up for patients with GERD, t (7) = 3.81, p< 0.007; x =2808.00 versus 1682.63, respectively. Thus, the treatment approach implemented to improve the health of patients’ mucosa integrity as represented by an increase in esophageal impedance.

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