I need help with a stats problem, section 7.2 and 7.3, please help with TI-84 commands 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 55 U.S. cities is 0.039

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
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I need help with a stats problem, section 7.2 and 7.3, please help with TI-84 commands

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
55
U.S. cities is
0.039
microgram per cubic meter and the standard deviation is
0.067
microgram per cubic meter. At
α=0.10​,
can the claim be​ supported? Complete parts​ (a) through​ (e) below. Assume the population is normally distributed.
 
Identify the claim and state
H0
and
Ha.
 
H0: 
 
sigma squaredσ2
sigmaσ
pp
muμ
 
greater than>
less than<
equals=
greater than or equals≥
not equals≠
less than or equals≤
enter your response here
Ha: 
 
pp
sigma squaredσ2
muμ
sigmaσ
 
less than<
greater than>
equals=
greater than or equals≥
not equals≠
less than or equals≤
enter your response here
Ho: (1) ______________ (2) ________________  (                         )
Ha:  (3)_______________ (4) _______________ (                         )
(1) is standard deviation, p, or mean
(2) < ,>, =, greater than or = to
(3) P, standard dev. squared, mean, or standard deviation
(4) <,>,=, greater than or = to, not equal to, less than or = to
 The claim is the (5) ____________________ alternative or null hypothesis.
(b) find the critical value(s) and identify the rejection region (s)
The critical value(s) is/are to=__________________
(use a comma to seperate answers as neede, round to 2 decimal places)
 
graph which show the rejection region
 
 
 
(c) find the standardized test statistic is t=________________
round to 2 decimal places
 
(d) decide whether to reject or fail to reject the null hypothesis.
(6)_____________ Ho because the standardized test statistic (7) __________________ in the rejection region.
(6)reject or fail to reject                                                                       (7) is not or is
 
(e) interpret the decision in the context of the orginal claim.
 There (8) ___________________ (is or is not) enough evidence at the ___________ % level of significance to (9) _____________ (support or reject) the claim that the mean amount of lead in the air in U.S. cities is (10) _____________ (equal, not equal, greater than, greater than or equal )            (                   ) microgram percubic meter (type integers or decimals, do not round)
 
 
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