Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified requirement? 718 696 1058 575 546 565 What are the hypotheses? A. Upper H 0H0: muμequals=10001000 hic Upper H 1H1: muμgreater than or equals≥10001000 hic B. Upper H 0H0: muμgreater than>10001000 hic Upper H 1H1: muμless than<10001000 hic C. Upper H 0H0: muμless than<10001000 hic Upper H 1H1: muμgreater than or equals≥10001000 hic D. Upper H 0H0: muμequals=10001000 hic Upper H 1H1: muμless than<10001000 hic 2. In a test of the effectiveness of garlic for lowering cholesterol, 36 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.1 and a standard deviation of 1.62 Use a 0.10 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? A. Upper H 0H0: muμequals=00 mg/dL Upper H 1H1: muμgreater than>00 mg/dL B. Upper H 0H0: muμequals=00 mg/dL Upper H 1H1: muμless than<00 mg/dL C. Upper H 0H0: muμgreater than>00 mg/dL Upper H 1H1: muμless than<00 mg/dL D. Upper H 0H0: muμequals=00 mg/dL Upper H 1H1: muμnot equals≠00 mg/dL

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified requirement? 718 696 1058 575 546 565 What are the hypotheses? A. Upper H 0H0: muμequals=10001000 hic Upper H 1H1: muμgreater than or equals≥10001000 hic B. Upper H 0H0: muμgreater than>10001000 hic Upper H 1H1: muμless than<10001000 hic C. Upper H 0H0: muμless than<10001000 hic Upper H 1H1: muμgreater than or equals≥10001000 hic D. Upper H 0H0: muμequals=10001000 hic Upper H 1H1: muμless than<10001000 hic 2. In a test of the effectiveness of garlic for lowering cholesterol, 36 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.1 and a standard deviation of 1.62 Use a 0.10 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? A. Upper H 0H0: muμequals=00 mg/dL Upper H 1H1: muμgreater than>00 mg/dL B. Upper H 0H0: muμequals=00 mg/dL Upper H 1H1: muμless than<00 mg/dL C. Upper H 0H0: muμgreater than>00 mg/dL Upper H 1H1: muμless than<00 mg/dL D. Upper H 0H0: muμequals=00 mg/dL Upper H 1H1: muμnot equals≠00 mg/dL

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Description: Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original

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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A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a

0.01

significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified requirement?

718

696

1058

575

546

565

What are the hypotheses?

Upper H 0H0:

muμequals=10001000

hic

Upper H 1H1:

muμgreater than or equals≥10001000

hic

Upper H 0H0:

muμgreater than>10001000

hic

Upper H 1H1:

muμless than<10001000

hic

Upper H 0H0:

muμless than<10001000

hic

Upper H 1H1:

muμgreater than or equals≥10001000

hic

Upper H 0H0:

muμequals=10001000

hic

Upper H 1H1:

muμless than<10001000

hic

2. In a test of the effectiveness of garlic for lowering cholesterol,

subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of

0.1

and a standard deviation of

1.62

Use a

0.10

significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than

What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.

What are the null and alternative hypotheses?

Upper H 0H0:

muμequals=00

mg/dL

Upper H 1H1:

muμgreater than>00

mg/dL

Upper H 0H0:

muμequals=00

mg/dL

Upper H 1H1:

muμless than<00

mg/dL

Upper H 0H0:

muμgreater than>00

mg/dL

Upper H 1H1:

muμless than<00

mg/dL

Upper H 0H0:

muμequals=00

mg/dL

Upper H 1H1:

muμnot equals≠00

mg/dL

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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