Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.035 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 58 U.S. cities is 0.038 microgram per cubic meter and the standard deviation is 0.069 microgram per cubic meter. claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Identify the claim and state Hg and H, (1). (2) H. (3)- (Type integers or decimals. Do not round.) The claim is the (5) hypothesis. (b) Find the critical value(s) and identify the rejection regionis). The critical value(s) islare to = (Use a comma to separate answers as needed. Round to two decimal places as needed) Choose the graph which shows the rejection region. OA. OB. Oc. c. OD. t<- t (c) Find the standardized test statistic, t The standardized test statistic is t= (Use a comma to separate answers as needed. Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis . (6) H, because the standardized test statistic (7) - -in the rejection region. (e) Interpret the decision in the context of the original claim. There (8). enough evidence at the % level of significance to (9). the claim that the mean amount of lead in the air in U.S. cities is (10). microgram per cubic meter. (Type integers or decimals. Do not round.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
icon
Concept explainers
Question
100%
6. Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.035 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 58 U.S. cities is 0.038 microgram per cubic meter and the standard deviation is 0.069 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 Ho and Ha
Ho: (1)
На
(3)
(4)
(Type integers or decimals. Do not round.)
The claim is the (5)
hypothesis.
(b) Find the critical value(s) and identify the rejection region(s).
The critical value(s) is/are to =
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Choose the graph which shows the rejection region.
OA.
OB.
OC.
OD.
- to <t<to
t> to
t<to
t< - to, t> to
(c) Find the standardized test statistic, t.
The standardized test statistic is t=
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
(6)
H, because the standardized test statistic (7)
in the rejection region.
(e) Interpret the decision in the context of the original claim.
There (8)
enough evidence at the
% level of significance to (9)
the claim that the mean amount of lead in the air in U.S. cities is (10)
microgram per cubic meter.
(Type integers or decimals. Do not round.)
(1) O o?
O null
O alternative
O Reject
O Fail to reject
(7) O is not
O is
(9) O reject
O support
O not equal
O greater than or equal
(2) O
(3) О н
(4) O
(5)
(6)
(8)
O is
(10) O less than or equal
O greater than
O equal
O less than
O p
O is not
O p
O o?
00
II N VA
0000
I" N A *
0000
O000
Transcribed Image Text:6. Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.035 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 58 U.S. cities is 0.038 microgram per cubic meter and the standard deviation is 0.069 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 Ho and Ha Ho: (1) На (3) (4) (Type integers or decimals. Do not round.) The claim is the (5) hypothesis. (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are to = (Use a comma to separate answers as needed. Round to two decimal places as needed.) Choose the graph which shows the rejection region. OA. OB. OC. OD. - to <t<to t> to t<to t< - to, t> to (c) Find the standardized test statistic, t. The standardized test statistic is t= (Use a comma to separate answers as needed. Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. (6) H, because the standardized test statistic (7) in the rejection region. (e) Interpret the decision in the context of the original claim. There (8) enough evidence at the % level of significance to (9) the claim that the mean amount of lead in the air in U.S. cities is (10) microgram per cubic meter. (Type integers or decimals. Do not round.) (1) O o? O null O alternative O Reject O Fail to reject (7) O is not O is (9) O reject O support O not equal O greater than or equal (2) O (3) О н (4) O (5) (6) (8) O is (10) O less than or equal O greater than O equal O less than O p O is not O p O o? 00 II N VA 0000 I" N A * 0000 O000
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Continuous Probability Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill