Would you kind answer this questions:

I have a question about your method. since there are 100 volunteers, each with 7 days of data. as you mentioned, you have 700 data points. When calculating the mean and standard deviation, did you add all 700 numbers together and divide by 700, or calculate the 7-day average for each person to get 100 numbers, and then calculate the mean, standard error, and confidence interval for these 100 numbers? Also, regarding your Z critical value, I might use the Excel function T.INV.2T(0.05, 99), which gives a value of 1.984, slightly different from your 1.96.

The Boss wants us and our team to collect data and determine a confidence interval involving a company service or product. Explain how we would do this. Think of a real-life situation. Explain how confidence interval procedure can be applied in the workplace for the situation. To help you understand how to collect data and determine a confidence interval for a company service or product we would use a real-life example: We work for a company that sells a new type of treadmill. Our boss wants to know the average number of steps users take per day and wants to create a 95% confidence interval for this average. Steps to Collect Data and Determine a Confidence Interval: Define the Objective: Determine the average number of steps taken per day by users of the fitness tracker. Create a 95% confidence interval for this average. Collect Data: Sample Selection: Randomly select a sample of users who have been using the treadmill for at least a month. Sample Size: Decide on an appropriate sample size. For a 95% confidence interval, a larger sample size will give a more accurate estimate. We would choose 100 users. Data Collection: Ask these users to provide their daily step counts for a week. This can be done through the treadmill's tracker, app or a survey. Calculate the Sample Mean and Standard Deviation: Sample Mean ((\bar{x})): Add up all the daily step counts and divide by the total number of days 100 users * 7 days = 700 data points. Sample Standard Deviation (s): Calculate the standard deviation of the daily step counts. Determine the Confidence Interval: Confidence Level: For a 95% confidence interval, the z-score (critical value) is approximately 1.96. Standard Error (SE): Calculate the standard error of the mean using the formula (SE = \frac{s}{\sqrt{n}}), where (n) is the sample size. Margin of Error (ME): Calculate the margin of error using the formula (ME = z \times SE). Confidence Interval: The confidence interval is then (\bar{x} \pm ME). Calculation: Sample Mean ((\bar{x})) = 10,000 steps Sample Standard Deviation (s) = 2,000 steps Sample Size (n) = 100 Standard Error (SE): [ SE = \frac {2000} {\sqrt {100}} = \frac {2000}{10} = 200] Margin of Error (ME): [ ME = 1.96 \times 200 = 392] Confidence Interval: [ \text {Lower Limit} = 10000 - 392 = 9608] [ \text {Upper Limit} = 10000 + 392 = 10392] Thus, the 95% confidence interval for the average number of steps taken per day by users is between 9,608 and 10,392 steps. From the data obtained we can determine a confidence interval for any company service or product. This process helps in making informed decisions based on statistical evidence. 95% confidence interval would state: 95% may capture the true while 5% would not.

I have a question about your method. since there are 100 volunteers, each with 7 days of data. as you mentioned, you have 700 data points. When calculating the mean and standard deviation, did you add all 700 numbers together and divide by 700, or calculate the 7-day average for each person to get 100 numbers, and then calculate the mean, standard error, and confidence interval for these 100 numbers? Also, regarding your Z critical value, I might use the Excel function T.INV.2T(0.05, 99), which gives a value of 1.984, slightly different from your 1.96.