Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1500 miles per month.Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of 18 recent mileages of Citrus cars was taken. The mean of these 18 mileages was 1380 miles per month, and the standard deviation was 248 miles per month.Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the 0.1 level of significance, can it be concluded that the mean recent monthly mileage, μ, of Citrus cars is less than 1500 miles per month?Perform a one-tailed test. Then fill in the table attached.Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. **Knowledge Check: Hypothesis Testing**1. **The null hypothesis:** $ H_0 : $ [Enter the hypothesized parameter value]2. **The alternative hypothesis:** $ H_1 : $ [Enter the alternative parameter value]3. **The type of test statistic:** [Choose one from options provided]4. **The value of the test statistic:** [Round to at least three decimal places and enter the value]5. **The critical value at the 0.1 level of significance:** [Round to at least three decimal places and enter the value]6. **Conclusion at the 0.1 level of significance:** Can it be concluded that the mean recent monthly mileage of Citrus cars is less than 1500 miles per month? - [ ] Yes - [ ] No **Instructions:**- Enter the appropriate values and select the correct options to perform the hypothesis test.- Use the provided symbols and options panel to insert mathematical symbols as needed.- Click "Submit" once you've completed the form.- If you're unsure, click "I Don't Know" for assistance.**Note:**This exercise evaluates your understanding of hypothesis testing and inferential statistics.

Name: Citrus Rental is a popular car rental agency that has a history of hav
Uploaded: 2024-03-20T07:07:00.000Z
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Description: Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1500 miles per month.Recently, though,

Given, n = 18 μ = 18x = 1380s = 248α = 0.1 To find, Check the claim it be concluded that the mean recent monthly mileage, μ, of Citrus cars is less than 1500 miles per month? using testing of hypothesisi.Answer: The null hypothesis : H0 : μ = 1500 The alternative hypothesis: H1: μ < 1500 Sample size is 18 and given sample standard deviation. So, Use t-statistic or t-test to test the claim. Type of test Statistics = t-statistic Formula for the value of t - statistic is: t = x - μsn t= 1380 - 150024818 t = -2.053 Test statistic t - calculated value = -2.053 To find critical value need degrees of freedom and level of significance. df = n -1 = 18 - 1 = 17 α = 1 t - critical value = -1.33 Here, t-calculated < t-critical this leads fail to rejet the null hypothesis. At 0.1 level of significance. It is not significant to concluded that the mean recent monthly mileage of citrus cars is less than 1500 miles per month. No

Answered: Citrus Rental is a popular car rental…

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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Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1500 miles per month.

Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of 18 recent mileages of Citrus cars was taken. The mean of these 18 mileages was 1380 miles per month, and the standard deviation was 248 miles per month.

Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the 0.1 level of significance, can it be concluded that the mean recent monthly mileage, μ, of Citrus cars is less than 1500 miles per month?

Perform a one-tailed test. Then fill in the table attached.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

**Knowledge Check: Hypothesis Testing**

1. **The null hypothesis:**
$ H_0 : $ [Enter the hypothesized parameter value]

2. **The alternative hypothesis:**
$ H_1 : $ [Enter the alternative parameter value]

3. **The type of test statistic:**
[Choose one from options provided]

4. **The value of the test statistic:**
[Round to at least three decimal places and enter the value]

5. **The critical value at the 0.1 level of significance:**
[Round to at least three decimal places and enter the value]

6. **Conclusion at the 0.1 level of significance:**
Can it be concluded that the mean recent monthly mileage of Citrus cars is less than 1500 miles per month?
- [ ] Yes
- [ ] No

**Instructions:**
- Enter the appropriate values and select the correct options to perform the hypothesis test.
- Use the provided symbols and options panel to insert mathematical symbols as needed.
- Click "Submit" once you've completed the form.
- If you're unsure, click "I Don't Know" for assistance.

**Note:**
This exercise evaluates your understanding of hypothesis testing and inferential statistics.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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