Answer:
Step-by-step explanation:
Given that a nutrition lab tested 40 hot dogs to see if their mean sodium content was less than the 325-mg upper limit set by regulations for "reduced sodium" franks
90% confidence interval is
(317.2, 326.8)mg.
Using confidence intervals,we can check whether null hypothesis is true.
Here
(left tailed test at 10% significance level)
We check whether confidence interval 90% contains the mean value.
We find 325 belongs to the confidence interval
Hence H0 is true
The hot dogs do not satisfy.
A.) Parallel lines has equal slopes, hence slope of required equation = slope of y = 2x - 4 = 2
required equation is y - y1 = m(x - x1)
y - 7 = 2(x - 4)
y - 7 = 2x - 8
y = 2x - 8 + 7
y = 2x - 1
The mean ( average ) is given as 1200 hours.
The standard deviation is 200, sample size is 100.
Find the standard error:
√(200^2 / 100) = 20
Now calculate the confidence interval. For 95% the Z number is 1.96
Multiply Z by the standard error:
1.96 x 20 =39.2
Now find the range that the mean should be within:
1200 - 39.2 = 1160.8
1200 + 39.2 = 1239.2
The samples should be between 1160.8 and 1239.2 for a 95% confidence interval.
Since the average was 1050, which is below 1160.8 the bulbs are not in compliance.
Answer:
Step-by-step explanation:
<u>slope-intercept form</u>
y= mx +c, where m is the slope and c is the y-intercept.
Let's rewrite the given equation into the slope-intercept form so we can find out its gradient.
3x +2y -6= 0
2y= -3x +6
<em>Dividing</em><em> </em><em>by</em><em> </em><em>2</em><em> </em><em>throughout</em><em>:</em>
Thus gradient of given line= 
Parallel lines have the same gradient.
Thus gradient of line=
Subst. m= into the equation:
To find c, substitute a pair of coordinates.
When x=0, y=0,
Thus, the equation of the line is 
.
3(4a+3)
Hope this helps!! :)
