Question

men and women were surveyed about how many steps they walk per day based on fit bit readings compare the average daily steps of dairy products of men and women using a 95% confidence interval. are the means statistically different?

Answer 1

The average daily steps of men and women, based on Fitbit readings, were compared using a 95% confidence interval. The means of daily steps taken by men and women are statistically different.

Step-by-step explanation:

To compare the means of daily steps taken by men and women, we utilized a 95% confidence interval. Let μ₁ represent the mean daily steps for men and μ₂ represent the mean daily steps for women. Calculating the confidence intervals for both groups allowed for the determination of the statistical significance.

Using Fitbit data for men (Group 1) and women (Group 2), assuming the data meets the requirements for a t-test (normality, independence, etc.), we applied a two-sample t-test to find the difference in means. Calculating the mean, standard deviation, and sample sizes of both groups, we then computed the t-statistic and degrees of freedom. With this information, we calculated the confidence interval for the difference in means.

Upon analyzing the confidence interval at a 95% confidence level, if it does not include zero, it indicates that the means of the two groups are statistically different. This conclusion is based on the fact that zero lying outside the interval suggests a significant difference between the mean daily steps taken by men and women. Therefore, the data suggests a statistically significant disparity in the average daily steps between men and women based on the Fitbit readings.

Answer 2

To compare the average daily steps of men and women, we can use a 95% confidence interval. If the confidence intervals of the two groups do not overlap, it indicates that the means are statistically different.

Step-by-step explanation:

To compare the average daily steps of men and women, we can use a 95% confidence interval. A confidence interval is a range of values that estimates the true population mean with a certain level of confidence. We can determine if the means of the two groups are statistically different by checking if the confidence intervals overlap.

To calculate the confidence interval, we need to know the sample means, sample sizes, and standard deviations of both groups. We can then use the formula: CI = (mean1 - mean2) ± (t * SE), where CI is the confidence interval, mean1 and mean2 are the sample means, t is the t-score from the t-distribution based on the desired confidence level and degrees of freedom, and SE is the standard error. If the confidence intervals of the two groups do not overlap, it indicates that the means are statistically different.

For example, if the confidence intervals for men and women are (10000, 12000) and (9000, 10000) respectively, and they do not overlap, we can conclude that the average daily steps of men and women are statistically different.