The research department of Petco did a study to determine

Subject: Mathematics / Statistics
Question
Question 1

The research department of Petco did a study to determine if there was a difference in the proportion of adults who preferred dogs as a pet vs the proportion of children who preferred dogs as a pet.

At the .05 significance level, is there a significant difference in the proportions of the preference for dogs as a pet between Adults vs Children? (Use z or t value of 1.31)

120 out of 200 Adults preferred dogs as a pet and

165 out of 250 Children who preferred dogs as a pet.

What is your conclusion based on p-value?

Can prove adults prefer dogs over children.

Can prove a difference in the preferences of adults and children.

Cannot prove a difference in the preferences of adults and children.

Not enough information

Question 2

Given the correlation output of 0.8825 what can you conclude?

Moderate Inverse Relationship

Weak Direct Relationship

No Correlation

Strong Direct Relationship

Question 3

The American Milk Association is claiming that men drink more milk than women. If a sample of 45 men drink on average 26oz of milk a day with a standard deviation of 5oz. A sample of 40 women drink on average 24oz of milk a day with a standard deviation of 3oz. At the .10 significance level, can we conclude that men drink more milk than women?

Is it a one tail or two tail test?

A. One Tail

B. Two Tail

Question 4

The research department of Coca Cola did a study to determine if there was a difference in the proportion of men who preferred Coke vs. women who preferred Coke.

At the .10 significance level, is there a significant difference in the proportions of the preference for Coke between Men vs. Women?

75 out of 400 men preferred Coke over Pepsi.

25 out of 250 women preferred Coke over Pepsi.

What is the p-value?

C. p = 0.9591

A. p = 0.4591

D. p = 0.0818

B. p = 0.0409

Question 5

At the .10 significance level can we conclude that there is a difference in the variation of yearly miles per gallon in a SUV vs a Truck.

A sample of 11 Trucks had a standard deviation of 30 mpg and a sample of 8 SUVs had a standard deviation of 15 mpg.

Can you prove the claim there is a difference in the variation of yearly miles per gallon in an SUV vs a Truck. (Use F value of 4.00)

What are the null and alternative hypotheses?

Ho: Variance T ? Variance S

HI:Variance T = Variance S

Ho:Variance T = Variance S

HI:Variance T ? Variance S

Ho: Variance T = Variance S

HI:Variance T > Variance S

Ho: Variance T <= Variance S

HI:Variance T > Variance S

Question 6

The research department of Coca Cola did a study to determine if there was a difference in the proportion of men who preferred Coke vs. women who preferred Coke.

At the .10 significance level, is there a significant difference in the proportions of the preference for Coke between Men vs. Women?

75 out of 400 men preferred Coke over Pepsi. 25 out of 250 women preferred Coke over Pepsi.

What are the null and alternative hypotheses?

Ho: ????M = ????W

H1: ????M not= ????W

Ho: ????M <= ????W

H1: ????M > ????W

Ho: ????M >= ????W

H1: ????M < ????W

Ho: ????M > ????W

H1: ????M not= ????W

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