Answer :
Final answer:
The 95% confidence interval for the mean time in the population is approximately 9.687 to 13.473 seconds.
Explanation:
To compute the 95% confidence interval for the mean time in the population, we need to use the formula:
x ± t * (s / √n)
Given that the sample mean (x) for the neutral group is 11.58 and the sample standard deviation (s) is 4.37, we can substitute these values into the formula.
First, we need to find the critical value (t) from the t-distribution table. The degrees of freedom for this calculation is the sample size minus one, which is 23 - 1 = 22. Looking up the critical value for a 95% confidence level and 22 degrees of freedom in the t-distribution table, we find that t = 2.074.
Now we can substitute the values into the formula:
11.58 ± 2.074 * (4.37 / √23)
Calculating the expression, we get:
11.58 ± 2.074 * 0.913
Simplifying further, we have:
11.58 ± 1.893
Therefore, the 95% confidence interval for the mean time in the population is approximately 9.687 to 13.473 seconds.
Learn more about computing the confidence interval for the mean time in a population here:
https://brainly.com/question/33816453
#SPJ11