A paper describes an investigation in which 40 men and 40 women with online dating profiles agreed to participate in a study. Each participant's height (in inches) was measured and the actual height was compared to the height given in that person's online profile. The differences between the online profile height and the actual height (profile − actual) were used to compute the values in the accompanying table. Men Women xd = 0.56 xd = 0.04 sd = 0.81 sd = 0.75 n = 40 n = 40 You can assume it is reasonable to regard the two samples in this study as being representative of male online daters and female online daters. (Although the authors of the paper believed that their samples were representative of these populations, participants were volunteers recruited through newspaper advertisements, so we should be a bit hesitant to generalize results to all online daters.) (a) Use the paired t test to determine if there is convincing evidence that, on average, male online daters overstate their height in online dating profiles. Use ? = 0.05. (Use ?d = ?profile − ?actual.) Find the test statistic. (Round your answer to two decimal places.) t = Find the df. df = Use technology to find the P-value. (Round your answer to four decimal places.) P-value = Construct and interpret a 95% confidence interval for the difference between the mean online dating profile height and mean actual height for female online daters. (Use technology to calculate the critical value. Use ?d = ?profile − ?actual. Round your answers to three decimal places.) ( ________, _____) inches Use the two-sample t test of Section 11.1 to test H0: ?m − ?f = 0 versus Ha: ?m − ?f > 0, where ?m is the mean height difference (profile − actual) for male online daters and ?f is the mean height difference (profile − actual) for female online daters. (Use ? = 0.05.) Find the test statistic. (Round your answer to two decimal places.) t = Find the df. (Round your answer down to the nearest whole number.) df = Use technology to find the P-value. (Round your answer to four decimal places.) P-value =

A paper describes an investigation in which 40 men and 40 women with online dating profiles agreed to participate in a study. Each participant's height (in inches) was measured and the actual height was compared to the height given in that person's online profile. The differences between the online profile height and the actual height (profile − actual) were used to compute the values in the accompanying table. Men Women xd = 0.56 xd = 0.04 sd = 0.81 sd = 0.75 n = 40 n = 40 You can assume it is reasonable to regard the two samples in this study as being representative of male online daters and female online daters. (Although the authors of the paper believed that their samples were representative of these populations, participants were volunteers recruited through newspaper advertisements, so we should be a bit hesitant to generalize results to all online daters.) (a) Use the paired t test to determine if there is convincing evidence that, on average, male online daters overstate their height in online dating profiles. Use ? = 0.05. (Use ?d = ?profile − ?actual.) Find the test statistic. (Round your answer to two decimal places.) t = Find the df. df = Use technology to find the P-value. (Round your answer to four decimal places.) P-value = Construct and interpret a 95% confidence interval for the difference between the mean online dating profile height and mean actual height for female online daters. (Use technology to calculate the critical value. Use ?d = ?profile − ?actual. Round your answers to three decimal places.) ( ____, _) inches Use the two-sample t test of Section 11.1 to test H0: ?m − ?f = 0 versus Ha: ?m − ?f > 0, where ?m is the mean height difference (profile − actual) for male online daters and ?f is the mean height difference (profile − actual) for female online daters. (Use ? = 0.05.) Find the test statistic. (Round your answer to two decimal places.) t = Find the df. (Round your answer down to the nearest whole number.) df = Use technology to find the P-value. (Round your answer to four decimal places.) P-value =

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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Related questions

Question

Men	Women
x_d = 0.56	x_d = 0.04
s_d = 0.81	s_d = 0.75
n = 40	n = 40

You can assume it is reasonable to regard the two samples in this study as being representative of male online daters and female online daters. (Although the authors of the paper believed that their samples were representative of these populations, participants were volunteers recruited through newspaper advertisements, so we should be a bit hesitant to generalize results to all online daters.)

(a)

Use the paired t test to determine if there is convincing evidence that, on average, male online daters overstate their height in online dating profiles. Use

? = 0.05.

(Use ?_d = ?_profile − ?_actual.)

Find the test statistic. (Round your answer to two decimal places.)

t =

Find the df.

df =

Use technology to find the P-value. (Round your answer to four decimal places.)

P-value =

Construct and interpret a 95% confidence interval for the difference between the mean online dating profile height and mean actual height for female online daters. (Use technology to calculate the critical value. Use ?_d = ?_profile − ?_actual. Round your answers to three decimal places.)

( ________, _____) inches

Use the two-sample t test of Section 11.1 to test

H₀: ?_m − ?_f = 0 versus H_a: ?_m − ?_f > 0,

where

?_m

is the mean height difference (profile − actual) for male online daters and

?_f

is the mean height difference (profile − actual) for female online daters. (Use

? = 0.05.)

Find the test statistic. (Round your answer to two decimal places.)

t =

Find the df. (Round your answer down to the nearest whole number.)