40 pts 10. Run a t-test using the t-test option in Data Analysis for the t-test

Question

40 pts 10. Run a t-test using the t-test option in Data Analysis for the t-test paired two sample for means on the below data and find the p value (two tailed test) and interpretation for hypothesis testing: Scenario: You are testing a new ice tea drink, which you believe will increase your metabolism. In the below control group, the participants in the study did not drink any new ice tea drink (control group). In the other group (the same people in experimental group, drank 16 oz of new ice tea drink twice a day for a week. You tested their metabolism. The measures below are the average calories burned per hour. The null and alternative hypothesis are Ho - There is no significant difference between the drinking the new ice tea drink and an increase in metabolism (burning of calories. Ha- There is a significant difference between the drinking the new ice tea drink and an increase in metabolism (burning of calories). Experimental 75 75 75 80767774 Control 68 70 68 70 757273 O p-0.50>0.05 therefore, reject the Ha and accept Ho O p-0.06 0.05 therefore, reject the Ho and accept Ha O None of these O p-0.70 > 0.05 therefore, reject the Ha and accept Ho O p-0.006 0,05 therefore, reject the Ho and accept Ha 25 pts Question 11 es with a p value and significance (alpha) level of 0.05

Explanation / Answer

Here i am posting here the excel data analysis t - test for two means with paired samples.

Here as the test is two tailed so we get the p - value = 0.006 which is less than 0.05 so we reject the null hypothesis and accept Ha . Option E is correct here.

t-Test: Paired Two Sample for Means Experimental Control Mean 76 70.85714286 Variance 4 6.80952381 Observations 7 7 Pearson Correlation 0 Hypothesized Mean Difference 0 df 6 t Stat 4.138569 P(T<=t) one-tail 0.003044 t Critical one-tail 1.94318 P(T<=t) two-tail 0.006088 t Critical two-tail 2.446912

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