1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kiruha [24]
3 years ago
13

The Insure.com website reports that the mean annual premium for automobile insurance in the United States was $1,503 in March 20

14. Being from Pennsylvania at that time, you believed automobile insurance was cheaper there and decided to develop statistical support for your opinion. A sample of 25 automobile insurance policies from the state of Pennsylvania showed a mean annual premium of $1,425 with a standard deviation ofs = $160.(a) Develop a hypothesis test that can be used to determine whether the mean annual premium in Pennsylvania is lower than the national mean annual premium.H0: μ ≥ 1,503Ha: μ < 1,503H0: μ ≤ 1,503Ha: μ > 1,503 H0: μ > 1,503Ha: μ ≤ 1,503H0: μ < 1,503Ha: μ ≥ 1,503H0: μ = 1,503Ha: μ ≠ 1,503(b) What is a point estimate in dollars of the difference between the mean annual premium in Pennsylvania and the national mean? (Use the mean annual premium in Pennsylvania minus the national mean.)
Mathematics
1 answer:
stira [4]3 years ago
5 0

Answer:

a) Option A)

H_{0}: \mu \geq 1503\\H_A: \mu < 1503

b) Point estimate of difference = -78

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $1,503

Sample mean, \bar{x} = $1,425

Sample size, n = 25

Sample standard deviation, s = $160

We have to carry a hypothesis test that the mean annual premium in Pennsylvania is lower than the national mean annual premium.

a) First, we design the null and the alternate hypothesis

H_{0}: \mu \geq 1503\text{ dollars}\\H_A: \mu < 1503\text{ dollars}

b) Point estimate  of the difference between the mean annual premium in Pennsylvania and the national mean

Point estimate of difference =

Mean annual premium in Pennsylvania - National mean

\text{Point estimate} = \bar{x} - \mu = 1425 - 1503 = -78

Thus,

Point estimate of difference = -78

You might be interested in
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. In the equation√n+5
Yuki888 [10]

Answer:

n = 59

Step-by-step explanation:

The given equation of n is \sqrt{n + 5} - \sqrt{n - 10} = 1 and we have to solve it for n.

\sqrt{n + 5} - \sqrt{n - 10} = 1 ........... (1)

⇒ \frac{(n + 5) - (n - 10)}{\sqrt{n + 5} + \sqrt{n - 10}} = 1  

{Rationalizing the numerator}

⇒ \sqrt{n + 5} + \sqrt{n - 10} = 15 .............. (2)

Now, adding (1) and (2) we get

2\sqrt{n + 5} = 16

⇒ n + 5 = 64 {Squaring both sides}

⇒ n = 59 (Answer)

4 0
3 years ago
PLZ PLZ PLZ PLZ HELP ME WITH THIS QUESTION
soldi70 [24.7K]
Ur answer is c



dbjdbdnsbsjeej have a good day
8 0
3 years ago
Read 2 more answers
Hey, guys help me answer!
Sliva [168]

Hello and Good Morning/Afternoon

<u>Let's take this problem step by step.</u>

        5=\frac{1}{3}(5x-15)\\ 5=\frac{5}{3}x-5\\ 5+5= \frac{5}{3}x-5 +5\\10=\frac{5}{3}x\\ 10 * 3 = 3* \frac{5}{3}x\\30=5x\\\frac{30}{5} =\frac{5}{5}x\\ 6=x\\x=6

<u>What did we do in this problem</u>

  • we ensured that both sides remained equally balanced in value
  • took everything step-by-step to make sure that there were no mistakes
  • to check it, we can plug it back into the original equation to see if it works

                  5=\frac{1}{3}(5(6)-15)\\ 5=\frac{1}{3} (30-15)\\5=\frac{1}{3}*15\\ 5=5 \checkmark\\

<u>Answer: x = 6</u>

Hope that helps!

#LearnwithBrainly

5 0
2 years ago
Read 2 more answers
Ujalakhan help! (x+2)(y-1) Simplify.
Gekata [30.6K]

Answer:

We can use the distributive property.

(x + 2)(y - 1)

= x(y) - x(1) + 2(y) - 2(1)

= xy - x + 2y - 2

4 0
3 years ago
Read 2 more answers
The question is on the picture I took. If you can please help me :)
Monica [59]

i forgot tho

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What percent of 77is 7?
    6·2 answers
  • Help me please......!!!!
    15·1 answer
  • Describe the polynomial 2x^3+x+5
    11·1 answer
  • Help me pleaseeeeee..........
    11·1 answer
  • What is the area of the shaded sector of the circle?
    15·1 answer
  • If u bring 10 empty bottles to the bottle shop, the bottle shop will change 10 empty bottles to 1 drink. If u bring 100 bottles
    5·1 answer
  • The Children's play area at the Community pool holds a total of 3185 gallons of water it takes 2.5 hours to fill the pool with 1
    6·1 answer
  • Answer the following question!
    5·1 answer
  • What is the measure of EDH?<br> E<br> H<br> F<br> 0<br> [(5x)/<br> (4x)<br> D<br> G
    12·2 answers
  • <img src="https://tex.z-dn.net/?f=p%5E%7B3%7D%20at%20%5C%5C%5C%5C%20p%20%3D%202" id="TexFormula1" title="p^{3} at \\\\ p = 2" al
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!