You are responsible for buying office supplies for your business. You are considering products from two companies, and want to use ratings from past users to help you decide which company to buy from. Ratings are on a scale of 0 to 5. You randomly sample 6 ratings from each company, as shown in the table below.

Company A:

• 3.5
• 4.0
• 3.5
• 2.0
• 4.0
• 4.5

Company B

• 5.0
• 5.0
• 4.5
• 3.0
• 4.0
• 4.5

Compare the mean ratings of the two companies using a two-sided hypothesis test, using a confidence level of 90%.

The standard deviation of Company A is 0.86, and the standard deviation for Company B is 0.75).

1. What is the standard error of the difference between the mean ratings of the two companies?

a)0.47

b)0.61

c)1.10

d)1.30

2. If you want 90% confidence in your results, which critical t value should you use

(i.e., your test statistic should be bigger than which of the following)?

(1 point)

a)1.64

b)1.81

c)2.04

d)2.28

3. What conclusions can you draw based on your results?

a) With 90% confidence we can say that Company A's ratings are higher than the ratings for Company B.

b) With 90% confidence we can say that Company B's ratings are higher than the ratings for Company A.

c) With 90% confidence we can say that ratings for Company A and Company B are exactly the same.

d)We cannot say with 90% confidence whether the average ratings for Company A and Company B are different