Question

the daily present time in a futsal for 120 days is 60 minutes and sample standard deviation (s) is 1.6. calculate confidence interval for 95% confidence level.

Answer 1

To calculate the confidence interval for a 95% confidence level, we use the formula CI = X ± (Z * (s / sqrt(n))). In this case, the confidence interval for a 95% confidence level is approximately 59.532 to 60.468 minutes.

Step-by-step explanation:

To calculate the confidence interval for a 95% confidence level, we can use the formula:

CI = X ± (Z * (s / sqrt(n)))

Where:

• CI is the confidence interval
• X is the sample mean
• Z is the Z-score corresponding to the desired confidence level (for 95% confidence level, Z ≈ 1.96)
• s is the sample standard deviation
• n is the sample size

In this case, the sample mean is 60 minutes, the sample standard deviation is 1.6, and the sample size is 120 days. Plugging in these values into the formula:

CI = 60 ± (1.96 * (1.6 / sqrt(120)))

Calculating the arithmetic:

CI = 60 ± 0.468

So, the confidence interval for a 95% confidence level is approximately 59.532 to 60.468 minutes.