MULTIPLE CHOICE PLEASE HELP
1 answer:
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 5 ← is in slope- intercept form
with slope m =
• Parallel lines have equal slopes, hence
y = x + c ← is the partial equation of the parallel line
To find c substitute (- 6, 0) into the partial equation
0 = - 2 + c ⇒ c = 0 + 2 = 2
y = x + 2 → C
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Answer:
Step-by-step explanation:
Variance is the sum of squares of all items x from mean. i.e
Variance =
Being the sum of squares variance can never be negative irrespective of mean being negative.
Std deviation is the square root of variances. This will thus be less than variance if variance >1 other wise std deviation will be bigger than variance.
Hence option d is right.
Answer:
Step-by-step explanation:
Hello!
The objective is to test if the two machines are filling the bottles with a net volume of 16.0 ounces or if at least one of them is different.
The parameter of interest is μ₁ - μ₂, if both machines are filling the same net volume this difference will be zero, if not it will be different.
You have one sample of ten bottles filled by each machine and the net volume of the bottles are measured, determining two variables of interest:
Sample 1 - Machine 1
X₁: Net volume of a plastic bottle filled by the machine 1.
n₁= 10
X[bar]₁= 16.02
S₁= 0.03
Sample 2 - Machine 2
X₂: Net volume of a plastic bottle filled by the machine 2
n₂= 10
X[bar]₂= 16.01
S₂= 0.03
With p-values 0.4209 (for X₁) and 0.6174 (for X₂) for the normality test and using α: 0.05, we can say that both variables of interest have a normal distribution:
X₁~N(μ₁;δ₁²)
X₂~N(μ₂;δ₂²)
Both population variances are unknown you have to conduct a homogeneity of variances test to see if they are equal (if they are you can conduct a pooled t-test) or different (if the variances are different you have to use the Welche's t-test)
H₀: δ₁²/δ₂²=1
H₁: δ₁²/δ₂²≠1
α: 0.05
Using a statistic software I've calculated the test
p-value 0.6168
The p-value is greater than the significance level, so the decision is to not reject the null hypothesis then you can conclude that both population variances for the net volume filled in the plastic bottles by machines 1 and 2 are equal.
To study the difference between the population means you can use
The hypotheses of interest are:
H₀: μ₁ - μ₂ = 0
H₁: μ₁ - μ₂ ≠ 0
α: 0.05
The p-value for this test is: 0.882433
The p-value is greater than the significance level, the decision is to not reject the null hypothesis.
Using a significance level of 5%, there is no significant evidence to reject the null hypothesis. You can conclude that the population average of the net volume of the plastic bottles filled by machine one and by machine 2 are equal.
I hope this helps!
