Mathematics, 11.03.2020 04:59 arlabbe0606
A market researcher for an automobile company suspects differences in preferred color between male and female buyers. Advertisements targeted to different groups should take such differences into account, if they exist. The researcher examines the most recent sales information of a particular car that comes in three colors. Use Table 3.
Gender of Automobile Buyer
Color Male Female
Silver 473 296
Black 549 309
Red 496 373
a. Choose the competing hypotheses to determine whether color preference depends on gender.
H0: Color preference is dependent of gender.; HA: Color preference is independent on gender.
H0: Color preference is independent of gender.; HA: Color preference is dependent on gender
b. Find the critical value at the 1.0% significance level. (Round intermediate calculations to 4 decimal places and your final answer to 2 decimal places.)
Critical value
c. Compute the value of the test statistic. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Test statistic
d-1. What is the conclusion?
Do not reject H0; color preference is dependent on gender
Do not reject H0; color preference is not dependent on gender
Reject H0; color preference is not dependent on gender
Reject H0; color preference is dependent on gender
d-2.
Does your conclusion suggest that the company should target advertisements differently for males versus females?
Yes
No
Answers: 1
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Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.
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A market researcher for an automobile company suspects differences in preferred color between male a...
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