A manufacturer of truck hoods wishes to estimate the mean weight of the hoods being produced from second shift. A sample size of size 8 pieces will be measured and the sample mean and sample standard deviation will be used to compute a 90% confidence interval. Which one of the following is the correct critical value to use in the computation of the 90% confidence interval?1.4151.8951.6451.8601.397

Respuesta :

Answer:

1.415

Step-by-step explanation:

The sample standard deviation will be used, so we will build the confidence interval using the student's t-distribution.

T - interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 8 - 1 = 7

Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of 0.90([tex]t_{90}[/tex]). So we have T = 1.415

So the answer is:

1.415