Sally is an undergraduate at CSUN and works as a "hair removal technician" at Touch of Class beauty salon. She began taking an intro stat course and it led her to notice that for women who regularly come in for any kind of Bikini wax (e.g. regular, Brazilian, Playboy, Lex Luther) their distribution is normal with an average of 10 waxes a year with a standard deviation of 3. A new Hormone Therapy clinic opened up next door and she wonders if the women receiving treatment there will need more waxing than the typical clientele. She randomly selects 9 of them and on average they come in 14 times over the next year. Do these women receiving hormone therapy need significantly more waxing? State Null Hypothesis ho: μ10 Alternative Hypothesis h₁: μ Decide on a (usually .05) a = Decide on type of test (distribution; z, t, etc.) Questions to ask: a. Can we assume a normally distributed sampling distribution? In other words, do we have 30+ participants OR a normally distributed population? If yes, then continue. If no, do not continue, the test cannot be performed. b. Do we know the population standard deviation? 10 If yes, then use o to estimate og and perform a Z-test 0x = If no, then use s to estimate sx and perform a t-test Find critical value & state decision rule Critical Value Questions to ask: a. Is this a 1-tailed or a 2-tailed test? b. If it is a t-test what are the degrees of freedom (DF)? If this is a Z-test, find the z-value(s) that correspond to alpha (e.g. 1.96, 1.64) and that is your critical value. Decision Rule Sx = If this is a t-test, use alpha, the number of tails and the degrees of freedom to look up the critical value in a t-table. In words: If If numbers: If observed is larger than critical reject the null hypothesis reject the null hypothesis
Sally is an undergraduate at CSUN and works as a "hair removal technician" at Touch of Class beauty salon. She began taking an intro stat course and it led her to notice that for women who regularly come in for any kind of Bikini wax (e.g. regular, Brazilian, Playboy, Lex Luther) their distribution is normal with an average of 10 waxes a year with a standard deviation of 3. A new Hormone Therapy clinic opened up next door and she wonders if the women receiving treatment there will need more waxing than the typical clientele. She randomly selects 9 of them and on average they come in 14 times over the next year. Do these women receiving hormone therapy need significantly more waxing? State Null Hypothesis ho: μ10 Alternative Hypothesis h₁: μ Decide on a (usually .05) a = Decide on type of test (distribution; z, t, etc.) Questions to ask: a. Can we assume a normally distributed sampling distribution? In other words, do we have 30+ participants OR a normally distributed population? If yes, then continue. If no, do not continue, the test cannot be performed. b. Do we know the population standard deviation? 10 If yes, then use o to estimate og and perform a Z-test 0x = If no, then use s to estimate sx and perform a t-test Find critical value & state decision rule Critical Value Questions to ask: a. Is this a 1-tailed or a 2-tailed test? b. If it is a t-test what are the degrees of freedom (DF)? If this is a Z-test, find the z-value(s) that correspond to alpha (e.g. 1.96, 1.64) and that is your critical value. Decision Rule Sx = If this is a t-test, use alpha, the number of tails and the degrees of freedom to look up the critical value in a t-table. In words: If If numbers: If observed is larger than critical reject the null hypothesis reject the null hypothesis
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:Sally is an undergraduate at CSUN and works as a "hair removal technician" at Touch of Class
beauty salon. She began taking an intro stat course and it led her to notice that for women who
regularly come in for any kind of Bikini wax (e.g. regular, Brazilian, Playboy, Lex Luther) their
distribution is normal with an average of 10 waxes a year with a standard deviation of 3. A new
Hormone Therapy clinic opened up next door and she wonders if the women receiving
treatment there will need more waxing than the typical clientele. She randomly selects 9 of
them and on average they come in 14 times over the next year. Do these women receiving
hormone therapy need significantly more waxing?
State Null Hypothesis ho: μ10
Alternative Hypothesis h₁: _10
Decide on a (usually .05) a =
Decide on type of test (distribution; z, t, etc.)
Questions to ask:
a. Can we assume a normally distributed sampling distribution?
In other words, do we have 30+ participants OR a normally distributed population?
If
yes, then continue.
If no, do not continue, the test cannot be performed.
b. Do we know the population standard deviation?
If yes, then use o to estimate ox and perform a Z-test
08 =
If no, then use s to estimate sx and perform a t-test
S8 =
Find critical value & state decision rule
Critical Value
Questions to ask:
a. Is this a 1-tailed or a 2-tailed test?
b. If it is a t-test what are the degrees of freedom (DF)?
If this is a Z-test, find the z-value(s) that correspond to alpha (e.g. 1.96, 1.64) and that is
your critical value.
If this is a t-test, use alpha, the number of tails and the degrees of freedom to look up
the critical value in a t-table.
Decision Rule
In words: If
If numbers: If
Calculate test
Apply decision rule
Since,
the null hypothesis.
observed is larger than
(i.e.observed value).
-critical reject the null hypothesis
reject the null hypothesis
X - μ
σx or Sx
—(i.e. >,<) —————(critical value),
-(i.e.DO or DO NOT) reject
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