Answer:
The bolts with diameter less than 5.57 millimeters and with diameter greater than 5.85 millimeters should be rejected.
Step-by-step explanation:
We have been given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviation of 0.08 millimeters.
Let us find the sample score that corresponds to z-score of bottom 4%.
From normal distribution table we got z-score corresponding to bottom 4% is -1.75 and z-score corresponding to top 4% or data above 96% is 1.75.
Upon substituting these values in z-score formula we will get our sample scores (x) as:


Therefore, the bolts with diameters less than 5.57 millimeters should be rejected.
Now let us find sample score corresponding to z-score of 1.75 as upper limit.


Therefore, the bolts with diameters greater than 5.85 millimeters should be rejected.
Answer:
44
Step-by-step explanation:
The absolute value symbols turn any negative inside of them to a positive, so your expression is ...
2 + 4·3 +5·7 +1 -6
= 2 +12 +35 +1 -6
= 44
Answer
a. True
Step-by-step explanation:
Based on this survey we estimate that about
of the college students smokes. And a
confidence interval is
. So we know that
our estimative for the smoking rate is in the confidence interval with
certainty. We also know the estimative for the smoking rate in the general population is
. So we can write the two possible hypothesis:
Smoking rate is equal to
.
Smoking rate is not equal to
.
We will reject the null hypothesis
if the estimate doesn't fall into the confidence interval for the college students smoking rate.
Since this condition holds we reject the null hypothesis. So with
certainty we say that the smoking rate for the general population is different than the smoking rate for the college students.
Answer:
14
Step-by-step explanation:
7+7