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
Oliga [24]
2 years ago
13

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

insurance is cheaper there and wish 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 $1,440 with a standard deviation of s = $150.
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.
b. What is a point estimate of the difference between the mean annual premium in Pennsylvania and the national mean (to the nearest dollar)?
Mathematics
1 answer:
timama [110]2 years ago
3 0

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 $

You might be interested in
J PLS HELP 8 MINUTES LEFT Ted Thumper, who bats at number eight, had an average (mean) of 14 last year. So far this year he has
kotykmax [81]

Answer:

answer is 15 and second one i dont know yet sorry am doing scoo

Step-by-step explanation:

4 0
1 year ago
What are some characteristics of a good math explanation
Eva8 [605]
Its detailed and explained you also check your work and give where you get the info from.
3 0
3 years ago
Read 2 more answers
C/8 = 7/2 What does c equal? please help me I don't understand these problems that well.
bonufazy [111]

Answer:

c  =  28

Step-by-step explanation:

Solve for  c  by simplifying both sides of the equation, then isolating the variable.

5 0
2 years ago
2 - 4x = 3x - 12<br> Solve for x
vova2212 [387]

Answer:

x = 2

Step-by-step explanation:

Step 1: Write out equation

2 - 4x = 3x - 12

Step 2: Add 4x on both sides

2 - 4x + 4x = 3x + 4x - 12

2 = 7x - 12

Step 3: Add 12 on both sides

2 + 12 = 7x - 12 + 12

14 = 7x

Step 4: Divide both sides by 7

14/7 = 7x/7

2 = x

Step 5: Rewrite

x = 2

6 0
3 years ago
Read 2 more answers
Three runners are training for a marathon. One day, they all run about miles,each at their own constant speed. This graph show h
solniwko [45]

Answer:

Runner 1 has the fastest pace

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Choose the correct correspondence RT​
    5·1 answer
  • If Serena painted all the faces of the piece of the model, including the base, what area did she paint?
    12·1 answer
  • The original price is $40.90 and the sale price is 30% off what would be two different expressions for the equation?
    12·1 answer
  • Set up the equation, relating the new ratio of salt
    9·2 answers
  • Given that sin theta = 1/4, 0
    15·1 answer
  • Determine whether the relationship represents a function and explain why or why not.
    10·1 answer
  • HELP PLEASE ASAP!!!!!
    9·2 answers
  • You have 132 m of fencing with which to make 2 side by side rectangular enclosures against an existing wall. If the enclosures a
    6·1 answer
  • Your weekly base salary is $150.You earn $20 for each cell phone that you sell.
    12·1 answer
  • A test was given to a group of students. The grades and gender are summarized below A B C TotalMale 5 9 2 16Female 7 11 12 30Tot
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!