QUESTION 9 Assume the cost for an automobile repair is normally distributed with a mean of $524 and a standard deviation of $149. If the lower 7% of automobile repair charges, what is your cost? a. 423.3243 O b. None of the answers is correct O c. 624.6757 Od. 744.5200 e. 303.4800
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
 alt="### Question 9
Assume the cost for an automobile repair is normally distributed with a mean of $524 and a standard deviation of $149. If the lower 7% of automobile repair charges is calculated, what is your cost?
- a. 423.3243
- b. None of the answers is correct
- c. 624.6757
- d. 744.5200
- e. 303.4800
### Question 10
AARP claims the average annual expenditure for Americans age 50+ on restaurant food in 2008 was $2130. Suppose a 2018 study surveyed 50+ individuals and found an average annual expenditure on restaurant food of $1945 with a standard deviation of $800. Is there reasonable evidence to support the claim that the expenditure for Americans age 50+ on restaurant food has decreased since 2008 at α=.1?
For the hypothesis stated above, what is the decision?
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 alt="Certainly! Below is the transcribed text suitable for an educational website:
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**Question 1:**
The cost of car repairs is normally distributed with a mean of $524 and a standard deviation of $149. If the cost for your car repair is in the 80th percentile, what is your cost?
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**Question 2:**
The average annual expenditure for Americans age 50+ on restaurant food in 2008 was $2130. Suppose a 2018 study randomly sampled 32 Americans age 50+ and found an average expenditure on restaurant food of $1945 with a standard deviation of $800. Is there reason to believe that the average annual expenditure on restaurant food has decreased since 2008 at α = 0.1?
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