State whether each of the following would be a null hypothesis, an alternative hypothesis, or neither. If the statement could be an alternative hypothesis, does the statement reflect a one-tail (directional) or two-tail (nondirectional) test? Hr =17 b) µz z 115 c) X = 2.93 d) X 113 Uy > 8.75 f) X < 99.2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 24E
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1. State whether each of the following would be a null hypothesis, an alternative hypothesis, or neither. If the
statement could be an alternative hypothesis, does the statement reflect a one-tail (directional) or two-tail
(nondirectional) test?
a) µz = 17
b) µy z 115
c) X = 2.93
d) X ± 113
e) µy > 8.75
f) X < 99.2
2. The national norm for a junior high chemistry achievement test is a score of 90, with o = 18. The research
director of a school district wants to know whether the students in her district are substantially higher or
lower than this national norm. She selects a random sample of 81 students who took this exam and finds a
mean of 93.
a) State the null and alternative hypotheses.
b) Using the z table, test the null hypothesis at the .05 level of significance and state your conclusions.
c) Using the z table, determine the probability of obtaining a random sample from the national norm
sample (with a mean of 90) that would be as extreme or more extreme (either above or below the
national mean) than the obtained sample mean of 93. (Hint: This is really a Chap 11 type of problem).
Transcribed Image Text:1. State whether each of the following would be a null hypothesis, an alternative hypothesis, or neither. If the statement could be an alternative hypothesis, does the statement reflect a one-tail (directional) or two-tail (nondirectional) test? a) µz = 17 b) µy z 115 c) X = 2.93 d) X ± 113 e) µy > 8.75 f) X < 99.2 2. The national norm for a junior high chemistry achievement test is a score of 90, with o = 18. The research director of a school district wants to know whether the students in her district are substantially higher or lower than this national norm. She selects a random sample of 81 students who took this exam and finds a mean of 93. a) State the null and alternative hypotheses. b) Using the z table, test the null hypothesis at the .05 level of significance and state your conclusions. c) Using the z table, determine the probability of obtaining a random sample from the national norm sample (with a mean of 90) that would be as extreme or more extreme (either above or below the national mean) than the obtained sample mean of 93. (Hint: This is really a Chap 11 type of problem).
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