Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.037 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 57 U.S. cities is 0.037 microgram per cubic meter and the standard deviation is 0.071 microgram per cubic meter. At a=0.10, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Identity the claim and state H, and H, H, (Type integers or decimals. Do not round) The claim is the n hypothesis. (b) Find the cntical value(s) and identify the rejection region(s) The critical value(s) is/are t, =D (Use a comma to separate answers as needed. Round to two decimal places as needed) Choose the graph which shows the rejection region. OA. O B. OC. OD. (C) Find the standardized test statistic, t The standardized test statistic is tO (Round to two decimal places as needed) (d) Decide whether to reject or fail to reject the nul hypothesis. V H, because the standardized test statistic Vin the rejection region (e) Interpret the decision in the context of the original claim. There V enough evidence at the s level of significance to the claim that the mean amount of lead in the air in U.S. oties is microgram per cubic meter (Type integers or decimals. Do not round.)
Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.037 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 57 U.S. cities is 0.037 microgram per cubic meter and the standard deviation is 0.071 microgram per cubic meter. At a=0.10, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Identity the claim and state H, and H, H, (Type integers or decimals. Do not round) The claim is the n hypothesis. (b) Find the cntical value(s) and identify the rejection region(s) The critical value(s) is/are t, =D (Use a comma to separate answers as needed. Round to two decimal places as needed) Choose the graph which shows the rejection region. OA. O B. OC. OD. (C) Find the standardized test statistic, t The standardized test statistic is tO (Round to two decimal places as needed) (d) Decide whether to reject or fail to reject the nul hypothesis. V H, because the standardized test statistic Vin the rejection region (e) Interpret the decision in the context of the original claim. There V enough evidence at the s level of significance to the claim that the mean amount of lead in the air in U.S. oties is microgram per cubic meter (Type integers or decimals. Do not round.)
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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Transcribed Image Text:Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.037 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 57 U.S. cities is 0.037 microgram per cubic meter and the standard deviation is 0.071 microgram per cubic meter. At a = 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 H, and H.
Ho
H.
(Type integers or decimals. Do not round,)
The claim is the
V hypothesis.
(b) Find the critical value(s) and identify the rejection region(s).
The critical value(s) is/are t, =
(Use a comma
separate answers as needed. Round
two decimal places as needed.)
Choose the graph which shows the rejection region.
OA.
O B.
OC.
OD.
Q
t< -to. t>t,
t<t,
t>t,
(c) Find the standardized test statistic, t.
The standardized test statistic ist=|
(Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
V H, because the standardized test statistic
V in the rejection region.
(e) Interpret the decision in the context of the original claim.
There
enough evidence at the % level of significance to
the claim that the mean amount
lead in the air in U.S. cities is
microgram per cubic meter.
(Type integers or decimals. Do not round.)
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