• The 90% confidence interval for males is: lower limit = • The 90% confidence interval for females is: lower limit = • What do these intervals suggest about gender differences in manual agility? ,upper limit = ,upper limit = The individual intervals suggest males place a greater mean number of pegs because the interval for this gender is greater than the interval for females. The individual intervals suggest females place a greater mean number of pegs because most the interval for this gender is greater than the interval for males. The individual intervals suggest females place a greater mean number of pegs because the interval for this gender is greater than the interval for males. The individual intervals suggest males place a greater mean number of pegs because most of the interval for this gender is greater than the interval for females. The individual intervals suggest no difference in the mean number of pegs placed by males & females because the two intervals overlap. The intervals above didn't take into account a comparison between the two genders like a two-sample interval would have. To estimate the mean difference in the number of pegs correctly placed by the two genders, we can use the following formula: (ỹ, -! 72) ± ty • What type of samples were selected if the formula above is used? independent samples dependent samples

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A factory hiring people to work on an assembly line gives job applicants a test of manual agility. This test counts how many strangely shaped pegs the applicant can fit into matching holes in a one-minute period. The table below summarizes
data collected for 90 applicants - 45 men and 45 women:
Male Female
n
45
45
Mean
19.14 18.51
Std Dev 2.365 3.142
Find separate 90% confidence intervals for the average number of pegs males and females can correctly place (note: these intervals are one-sample intervals from previous material!). The appropriate t-critical point for both intervals ist=
1.68.
• The 90% confidence interval for males is: lower limit =
, upper limit =
• The 90% confidence interval for females is: lower limit
• What do these intervals suggest about gender differences in manual agility?
upper limit =
The individual intervals suggest males place a greater mean number of pegs because the interval for this gender is greater than the interval for females.
The individual intervals suggest females place a greater mean number of pegs because most the interval for this gender is greater than the interval for males.
The individual intervals suggest females place a greater mean number of pegs because the interval for this gender is greater than the interval for males.
O The individual intervals suggest males place a greater mean number of pegs because most of the interval for this gender is greater than the interval for females.
The individual intervals suggest no difference in the mean number of pegs placed by males & females because the two intervals overlap.
The intervals above didn't take into account a comparison between the two genders like a two-sample interval would have. To estimate the mean difference in the number of pegs correctly placed by the two genders, we can use the following
s2
formula: (ỹ1 – 92) ± t
+
n1
n2
• What type of samples were selected if the formula above is used?
independent samples
dependent samples
• Calculate the 90% confidence interval using the t-critical point t= 1.664: lower limit =
• Which of the following conclusions is correct for the interval calculated?
, upper limit =
(Round to 4 decimal places.)
With 90% confidence, there is no evidence of a difference in the mean number of correctly placed pegs by the two genders.
With 90% confidence, we estimate the mean number of pegs placed by males is more than the mean placed by females by some amount between the limits calculated above.
With 90% confidence, we estimate the mean number of pegs placed by females is more than the mean placed by males by some amount between the limits calculated above.
Transcribed Image Text:A factory hiring people to work on an assembly line gives job applicants a test of manual agility. This test counts how many strangely shaped pegs the applicant can fit into matching holes in a one-minute period. The table below summarizes data collected for 90 applicants - 45 men and 45 women: Male Female n 45 45 Mean 19.14 18.51 Std Dev 2.365 3.142 Find separate 90% confidence intervals for the average number of pegs males and females can correctly place (note: these intervals are one-sample intervals from previous material!). The appropriate t-critical point for both intervals ist= 1.68. • The 90% confidence interval for males is: lower limit = , upper limit = • The 90% confidence interval for females is: lower limit • What do these intervals suggest about gender differences in manual agility? upper limit = The individual intervals suggest males place a greater mean number of pegs because the interval for this gender is greater than the interval for females. The individual intervals suggest females place a greater mean number of pegs because most the interval for this gender is greater than the interval for males. The individual intervals suggest females place a greater mean number of pegs because the interval for this gender is greater than the interval for males. O The individual intervals suggest males place a greater mean number of pegs because most of the interval for this gender is greater than the interval for females. The individual intervals suggest no difference in the mean number of pegs placed by males & females because the two intervals overlap. The intervals above didn't take into account a comparison between the two genders like a two-sample interval would have. To estimate the mean difference in the number of pegs correctly placed by the two genders, we can use the following s2 formula: (ỹ1 – 92) ± t + n1 n2 • What type of samples were selected if the formula above is used? independent samples dependent samples • Calculate the 90% confidence interval using the t-critical point t= 1.664: lower limit = • Which of the following conclusions is correct for the interval calculated? , upper limit = (Round to 4 decimal places.) With 90% confidence, there is no evidence of a difference in the mean number of correctly placed pegs by the two genders. With 90% confidence, we estimate the mean number of pegs placed by males is more than the mean placed by females by some amount between the limits calculated above. With 90% confidence, we estimate the mean number of pegs placed by females is more than the mean placed by males by some amount between the limits calculated above.
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