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2 years ago

Solve the problem. Round as appropriate.

Mathematics

1 answer:

Monica [59]2 years ago

8 0

Answer:

i need the points

Step-by-step explanation:

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The mean annual premium for automobile insurance in the United States is $1,499. Being from Pennsylvania, you believe automobile

timama [110]

Answer:

a) Then, t(s) is in the rejection region. We can not support that the mean annual premium in Pennsylvania is lower than the national mean annual premium

b) The point estimate of the difference is 59 $

Step-by-step explanation:

From sample we get:

sample size n = 25

annual mean x = 1440

standard deviation of the sample s = 150

mean for the mean annual premium μ = 1499

Hypothesis Test:

Null Hypothesis H₀ x = μ

Alternative Hypothesis Hₐ x < μ

Alternative Hypotesis indicates that the test is a one-tail test to the left

Let´s assume confidence Interval 95 % then α = 5 % α = 0.05

As n < 30 and we assume normality we will make a t-student test

degree of freedom df = n - 1 df = 24

With df = 24 and α = 0.05 and from t-student table we get t(c) = - 1.711

To calculate t(s) we apply:

t(s) = ( x - μ ) / s/√n

t(s) = ( 1440 - 1499 ) * 5 / 150

t(s) = - 59/ 30

t(s) = - 1.96

Comparing t(s) and t(c)

|t(s)| > |t(c)|

Then, t(s) is in the rejection region. We can not support that the mean annual premium in Pennsylvania is lower than the national mean annual premium.

b) The point estimate for the difference is : x - μ = 59 $

3 0

2 years ago

Two mechanics worked on a car. The first mechanic charged 105

den301095 [7]

The 105 per hour mechanic worked for 10 hours and the other worked for 15. here's the math.

8 0

3 years ago

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How do I solve this question?

asambeis [7]

This is a perfect square trnomial
(a+b)²=a²+2ab+b²
we see that a=5x and b=2

(5x)²+2(5x)(2)+2²=0
factor
(5x+2)²=0
set equal to zero
5x+2=0
5x=-2
x=-2/5

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3 years ago

How do I write two different word problems about 12 birds to show 2×6 and 6×2

Aloiza [94]

6 sets of birds were in a brown crate and 2 sets of birds were in a green crate? How many birds altogether were in those crates.

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3 years ago

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Carly draws quadrilateral JKLM with vertices J(-3,3), K(3,3), L(2,-1),and M(-2, -1). What is the best way to classify the quadri

Trava [24]

Answer:

Trapezoid

Step-by-step explanation:

The points are shown in the attached graph.

You can clearly see from the picture that it is a "Trapezoid".

Trapezoid is basically a quadrilateral (4 sided-figure) that has 1/2 pair of parallel sides.

On the other hand, a parallelogram has 2 pair of parallel sides.

Thus, a parallelogram is a special type of trapezoid where there are 2 pair of parallel sides. But trapezoid need not be a parallelogram.

The picture shows 1 pair of parallel sides, hence it is a trapezoid.

6 0

3 years ago