Help with statistics!!!

Scenario

30 bags of a certain candy were opened. The candy comes in 2 different colors: red and blue. The number of each color of candy per bag was counted and recorded.

Bag

Red

Blue

1

3

5

2

7

3

3

1

1

4

2

7

5

0

5

6

0

2

7

4

3

8

3

2

9

1

4

10

5

4

11

2

2

12

2

2

13

2

3

14

3

1

15

2

2

16

3

5

17

5

1

18

4

4

19

3

0

20

3

3

21

5

0

22

3

3

23

1

2

24

4

4

25

2

2

26

1

2

27

3

5

28

4

1

29

3

4

30

5

1

Requirements

Using the information from the scenario and the results from your previous assignments, write a pair of hypothesis for each of the claims and perform the hypothesis test. Be sure to list α, critical values, standardized test statistics, P-values, and decision. Interpret the results.

  1. With 90% confidence, the average number of red candies is 3.
  2. With 99% confidence, the average number of blue candies is less than 2.5.

Please be sure to show your work.

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