00:01
To estimate the average time per year of repair free lawn moving for these lawn mowers with a 95 percent confidence level, we can use the information provided.
00:19
Sample size is given as 187, owners who reported the need for first repair and sample mean is given as 5 .3 years and the sample standard deviation is given as 1 .28 years.
00:36
So, using this and the equation for confidence interval which is given as plus or minus s by root n and we also know that z value for 95 percent confidence is 1 .96.
00:52
So, based on this, we can find the confidence interval as mean 5 .3 plus or minus 1 .96 multiplied by 1 .28 divided by square root of 187 and this comes out to be the lower limit comes out to be 5 .3 plus 1 .96 into 1 .28 divided by square root of 187.
01:20
This comes out to be the lower limit comes out to be 5 .11654 and the upper limit comes up similarly as and the value is 5 .48346.
01:49
So, the estimated average time per year of repair free lawn moving for these lawn mowers with 95 percent confidence interval is approximately between 5 .11654 to 5 .48346.
02:16
So, now the second question is benefits of estimating average time.
02:32
So, the benefits are one confidence.
02:35
So, by estimating the average time with a confidence interval, the company can provide consumers with a range of values within which they can be confident that the true average time falls...