Question

in a random sample of 35 dog owners enrolled in obedience training, it was determined thatthe mean amount of money spent per owner was $109.33 per class and the standard deviationof the amount spent per owner is $12, construct a 95% confidence interval for the meanamount spent per owner for an obedience class.

Answer 1

To construct a 95% confidence interval for the mean amount spent per owner for an obedience class, we can use the formula: Interval = mean ± (z-value * standard deviation / sqrt(n)). Substituting the given values, the 95% confidence interval is $104.04 to $114.62.

Step-by-step explanation:

To construct a 95% confidence interval for the mean amount spent per owner for an obedience class, we can use the formula:

Interval = mean ± (z-value * standard deviation / sqrt(n))

where the mean is $109.33, the standard deviation is $12, and n is the sample size which is 35. The z-value will be the critical value for a 95% confidence level, which is 1.96.

Substituting the given values into the formula:

Interval = $109.33 ± (1.96 * $12 / sqrt(35))

Calculating the interval:

Interval = $109.33 ± $4.29

Therefore, the 95% confidence interval for the mean amount spent per owner for an obedience class is $104.04 to $114.62.