Automobile collision insurance is used to pay for any claims made against the driver in the event of an accident. This type of insurance will typically pay to repair any assets that your vehicle damages. A random sample of 40 collision claims of 20- to 24-year-old drivers results in a mean claim of $4590 with a standard deviation of $2315. An independent random sample of 40 collision claims of 30- to 59-year-old drivers results in a mean claim of $3680 with a standard deviation of $2014. Using the concept of hypothesis testing, determine if a higher insurance premium should be paid by 20- to 24-year-old drivers. Use a a = 0.10 level of significance, and let population 1 be 20- to 24-year old drivers and population 2 be 30- to 59-year old drivers. Complete parts (a) through (e) below. (a) Collision claims tend to be skewed right. Why do you think this is the case? A. There are a few very large collision claims relative to the majority of claims. O B. There are no very large collision claims. OC. There are many large collision claims relative to the majority of claims. (b) What type of test should be used? O A. A hypothesis test regarding two population standard deviations O B. A hypothesis test regarding the difference of two means using a matched-pairs design C. A hypothesis test regarding the difference of two means using Welch's approximate t O D. A hypothesis test regarding the difference between two population proportions from independent samples (c) Determine the null and alternative hypotheses. H2 H,: H. (d) Use technology to calculate the P-value.
Automobile collision insurance is used to pay for any claims made against the driver in the event of an accident. This type of insurance will typically pay to repair any assets that your vehicle damages. A random sample of 40 collision claims of 20- to 24-year-old drivers results in a mean claim of $4590 with a standard deviation of $2315. An independent random sample of 40 collision claims of 30- to 59-year-old drivers results in a mean claim of $3680 with a standard deviation of $2014. Using the concept of hypothesis testing, determine if a higher insurance premium should be paid by 20- to 24-year-old drivers. Use a a = 0.10 level of significance, and let population 1 be 20- to 24-year old drivers and population 2 be 30- to 59-year old drivers. Complete parts (a) through (e) below. (a) Collision claims tend to be skewed right. Why do you think this is the case? A. There are a few very large collision claims relative to the majority of claims. O B. There are no very large collision claims. OC. There are many large collision claims relative to the majority of claims. (b) What type of test should be used? O A. A hypothesis test regarding two population standard deviations O B. A hypothesis test regarding the difference of two means using a matched-pairs design C. A hypothesis test regarding the difference of two means using Welch's approximate t O D. A hypothesis test regarding the difference between two population proportions from independent samples (c) Determine the null and alternative hypotheses. H2 H,: H. (d) Use technology to calculate the P-value.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Need help solving the following:
- Calculate the P Value
- compare the P value with the level of significance
- Draw a conclusion based on the hypothesis test
Transcribed Image Text:Automobile collision insurance is used to pay for any claims made against the driver in the event of an accident. This type of insurance will typically pay to repair any assets that your vehicle damages.
A random sample of 40 collision claims of 20- to 24-year-old drivers results in a mean claim of $4590 with a standard deviation of $2315. An independent random sample of 40 collision claims of 30- to 59-year-old drivers results
in a mean claim of $3680 with a standard deviation of $2014. Using the concept of hypothesis testing, determine if a higher insurance premium should be paid by 20- to 24-year-old drivers. Use a a = 0.10 level of significance,
and let population 1 be 20- to 24-year old drivers and population 2 be 30- to 59-year old drivers. Complete parts (a) through (e) below.
(a) Collision claims tend to be skewed right. Why do you think this is the case?
A. There are a few very large collision claims relative to the majority of claims.
B. There are no very large collision claims.
C. There are many large collision claims relative to the majority of claims.
(b) What type of test should be used?
A. A hypothesis test regarding two population standard deviations
B. A hypothesis test regarding the difference of two means using a matched-pairs design
C. A hypothesis test regarding the difference of two means using Welch's approximate t
D. A hypothesis test regarding the difference between two population proportions from independent samples
(c) Determine the null and alternative hypotheses.
Ho: H1
H2
H1: H1
>
H2
(d) Use technology to calculate the P-value.
(Round to three decimal places as needed.)
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