iNZight Inference using Normal Theory ---------------------------------------------------------------------------------------------------- Primary variable of interest: drink_time (numeric) Secondary variable: glass_shape (categorical) Total number of observations: 100 ==================================================================================================== Inference of drink_time by glass_shape: --------------------------------------- Group Means with 95% Confidence Intervals Estimate Lower Upper curved 2.774 2.577 2.971 straight 3.040 2.799 3.280 Welch Two Sample t-test t = -1.7198, df = 97.819, p-value = 0.088622 Null Hypothesis: true difference in means is equal to 0 Alternative Hypothesis: true difference in means is not equal to 0 Difference in group means with 95% Confidence Interval Estimate Lower Upper curved - straight -0.26585 -0.57260 0.04091 Write down the confidence interval for the difference between underlying mean drinking time (curved - straight) from the inference output Write one sentence that interprets the confidence interval for a difference between underlying means in terms of a comparison.
Question
iNZight Inference using Normal Theory
Primary variable of interest: drink_time (numeric) Secondary variable: glass_shape (categorical)
Total number of observations: 100
Inference of drink_time by glass_shape:
Group Means with 95% Confidence Intervals
Estimate Lower Upper
curved 2.774 2.577 2.971
straight 3.040 2.799 3.280
Welch Two Sample t-test
t = -1.7198, df = 97.819, p-value = 0.088622
Null Hypothesis: true difference in means is equal to 0
Alternative Hypothesis: true difference in means is not equal to 0
Difference in group means with 95% Confidence Interval
Estimate Lower Upper
curved - straight -0.26585 -0.57260 0.04091 Write down the confidence interval for the difference between underlying mean drinking time (curved - straight) from the inference output Write one sentence that interprets the confidence interval for a difference between underlying means in terms of a comparison.
Solution
The confidence interval for the difference between the underlying mean drinking time for curved and straight glass shapes is -0.57260 to 0.04091. This means that we are 95% confident that the true mean drinking time for curved glasses is between 0.57260 units less and 0.04091 units more than the true mean drinking time for straight glasses.
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