Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than2.31parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of66cities is2.37parts per million and the standard deviation is2.11parts per million. Atα=0.05,can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Identify the claim and stateH0andHa.Which of the following correctly statesH0andHa? The claim is the ( null) ( alternative) hypothesis (b) Use technology to find the critical value(s) and choose the graph that shows the rejection region (c) Find the standardized test statistic, t.(d) Decide whether to reject or fail to reject the null hypothesis. (e) Interpret the decision in the context of the original claim. **Test a Claim About Carbon Monoxide Levels**Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.31 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 66 cities is 2.37 parts per million and the standard deviation is 2.11 parts per million. At α = 0.05, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed.---**(a) Identify the claim and state H₀ and Hₐ. Which of the following correctly states H₀ and Hₐ?**H₀: [Dropdown for input]Hₐ: [Dropdown for input]*(Type integers or decimals. Do not round.)*The claim is the [Dropdown for input] hypothesis.---**(b) Use technology to find the critical value(s) and identify the rejection region(s).**The critical value(s) is/are t₀ = [Input box]*(Use a comma to separate answers as needed. Round to two decimal places as needed.)**Choose the graph which shows the rejection region.*- **A.** A graph with the rejection region shaded in blue on the left tail, labeled "-t₀ < t < t₀"- **B.** A graph with the rejection region shaded in beige on the right tail, labeled "t > t₀"- **C.** A graph with the rejection region shaded in beige on the left tail, labeled "t < t₀"- **D.** A graph with the rejection region shaded in both tails with the region between -t₀ and t₀ not shaded, labeled "t < -t₀, t > t₀"---**(c) Find the standardized test statistic, t.**[Input box for t]Please use this guide to input your data and interpret the results for testing the given claim about carbon monoxide levels in U.S. cities. (c) Find the standardized test statistic, t.The standardized test statistic is \( t = \underline{\quad} \).(Round to two decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis.\(\underline{\quad}\) \( H_0 \) because the standardized test statistic \(\underline{\quad}\) in the rejection region.(e) Interpret the decision in the context of the original claim.There \(\underline{\quad}\) enough evidence at the \(\underline{\quad}\)% level of significance to \(\underline{\quad}\) the claim that the mean amount of carbon monoxide in the air in U.S. cities is \(\underline{\quad}\) parts per million. (Type integers or decimals. Do not round.)

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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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Question

Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than

2.31

parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of

cities is

2.37

parts per million and the standard deviation is

2.11

parts per million. At

α=0.05,

can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed.

(a) Identify the claim and state

and

Ha.

Which of the following correctly states

and

Ha?

The claim is the ( null) ( alternative) hypothesis

(b) Use technology to find the critical value(s) and choose the graph that shows the rejection region

(d) Decide whether to reject or fail to reject the null hypothesis.

(e) Interpret the decision in the context of the original claim.

**Test a Claim About Carbon Monoxide Levels**

Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.31 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 66 cities is 2.37 parts per million and the standard deviation is 2.11 parts per million. At α = 0.05, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed.

---

**(a) Identify the claim and state H₀ and Hₐ. Which of the following correctly states H₀ and Hₐ?**

H₀: [Dropdown for input]
Hₐ: [Dropdown for input]

*(Type integers or decimals. Do not round.)*

The claim is the [Dropdown for input] hypothesis.

---

**(b) Use technology to find the critical value(s) and identify the rejection region(s).**

The critical value(s) is/are t₀ = [Input box]

*(Use a comma to separate answers as needed. Round to two decimal places as needed.)*

*Choose the graph which shows the rejection region.*

- **A.** A graph with the rejection region shaded in blue on the left tail, labeled "-t₀ < t < t₀"
- **B.** A graph with the rejection region shaded in beige on the right tail, labeled "t > t₀"
- **C.** A graph with the rejection region shaded in beige on the left tail, labeled "t < t₀"
- **D.** A graph with the rejection region shaded in both tails with the region between -t₀ and t₀ not shaded, labeled "t < -t₀, t > t₀"

---

**(c) Find the standardized test statistic, t.**

[Input box for t]

Please use this guide to input your data and interpret the results for testing the given claim about carbon monoxide levels in U.S. cities.

(c) Find the standardized test statistic, t.

The standardized test statistic is \( t = \underline{\quad} \).
(Round to two decimal places as needed.)

(d) Decide whether to reject or fail to reject the null hypothesis.

\(\underline{\quad}\) \( H_0 \) because the standardized test statistic \(\underline{\quad}\) in the rejection region.

(e) Interpret the decision in the context of the original claim.

There \(\underline{\quad}\) enough evidence at the \(\underline{\quad}\)% level of significance to \(\underline{\quad}\) the claim that the mean amount of carbon monoxide in the air in U.S. cities is \(\underline{\quad}\) parts per million.

(Type integers or decimals. Do not round.)

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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