Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.33 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 64 cities is 2.39 parts per million and the standard deviation is 2.12 parts per million. At α=0.10, 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: muμ greater than or equals≥ 2.332.33 Ha: muμ less than< 2.332.33 (Type integers or decimals. Do not round.) The claim is the alternative hypothesis. (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are t0=negative 1.30−1.30. (Use a comma to separate answers as needed. Round to two decimal places as needed.) Choose the graph which shows the rejection region. A. 0 -44t −t0 t0 −t0t0 A graph labeled t greater than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. A vertical line segment extends from the curve to the t-axis at a point labeled t 0, where t 0 is to the right of 0. The area under the curve to the right of t 0 is shaded. D. 0 -44t −t0 t0 t<−t0, t>t0 A graph labeled t less than negative t 0, t greater than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. Two vertical line segments extend from the curve to the t-axis at the points labeled negative t 0 and t 0, where t 0 is to the right of 0. The areas under the curve to the left of negative t 0 and to the right of t 0 are shaded. (c) Find the standardized test statistic, t. The standardized test statistic is (d) Decide whether to reject or fail to reject the null hypothesis. H0 because the standardized test statistics in the rejection region.

Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.33 parts per million. It was found that the mean amount of carbon monoxide in the air for the random sample of 64 cities is 2.39 parts per million and the standard deviation is 2.12 parts per million. At α=0.10, 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: muμ greater than or equals≥ 2.332.33 Ha: muμ less than< 2.332.33 (Type integers or decimals. Do not round.) The claim is the alternative hypothesis. (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are t0=negative 1.30−1.30. (Use a comma to separate answers as needed. Round to two decimal places as needed.) Choose the graph which shows the rejection region. A. 0 -44t −t0 t0 −t0t0 A graph labeled t greater than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. A vertical line segment extends from the curve to the t-axis at a point labeled t 0, where t 0 is to the right of 0. The area under the curve to the right of t 0 is shaded. D. 0 -44t −t0 t0 t<−t0, t>t0 A graph labeled t less than negative t 0, t greater than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. Two vertical line segments extend from the curve to the t-axis at the points labeled negative t 0 and t 0, where t 0 is to the right of 0. The areas under the curve to the left of negative t 0 and to the right of t 0 are shaded. (c) Find the standardized test statistic, t. The standardized test statistic is (d) Decide whether to reject or fail to reject the null hypothesis. H0 because the standardized test statistics in the rejection region.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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

2.33

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

cities is

2.39

parts per million and the standard deviation is

2.12

parts per million. At

α=0.10,

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?

H0:	muμ greater than or equals≥ 2.332.33
Ha:	muμ less than< 2.332.33

(Type integers or decimals. Do not round.)

The claim is the

alternative

hypothesis.

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

The critical value(s) is/are

t0=negative 1.30−1.30.

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

Choose the graph which shows the rejection region.

0 -44t

−t0

−t0<t<t0

A graph labeled negative t 0 less than t less than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. Two vertical line segments extend from the curve to the t-axis at the points labeled negative t 0 and t 0, where t 0 is to the right of 0. The area under the curve between negative t 0 and t 0 is shaded.

-4 0 4 t

t<t0

A graph labeled t less than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. A vertical line segment extends from the curve to the t-axis at a point labeled t 0, where t 0 is to the left of 0. The area under the curve to the left of t 0 is shaded.

Your answer is correct.

-4 0 4 t

t>t0

A graph labeled t greater than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. A vertical line segment extends from the curve to the t-axis at a point labeled t 0, where t 0 is to the right of 0. The area under the curve to the right of t 0 is shaded.

0 -44t

−t0

t<−t0, t>t0

A graph labeled t less than negative t 0, t greater than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. Two vertical line segments extend from the curve to the t-axis at the points labeled negative t 0 and t 0, where t 0 is to the right of 0. The areas under the curve to the left of negative t 0 and to the right of t 0 are shaded.

The standardized test statistic is

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

H0 because the standardized test statistics

in the rejection region.

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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