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
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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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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