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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: μ 10 Alternative Hypothesis h₁:μ_ 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 0x = If no, then use s to estimates and perform a t-test Sx = 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) reject the null hypothesis X - μ σx or Sx -critical reject the null hypothesis -(i.e. >,<) -(critical value), -(i.e.DO or DO NOT) reject

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: μ 10 Alternative Hypothesis h₁:μ_ 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 0x = If no, then use s to estimates and perform a t-test Sx = 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) reject the null hypothesis X - μ σx or Sx -critical reject the null hypothesis -(i.e. >,<) -(critical value), -(i.e.DO or DO NOT) reject

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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
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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
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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