# Statistics for Decision

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Calorie Level
Fiber Type High Calorie Low Calorie Totals
High Fiber 18 4 22
Medium Fiber 23 6 29
Low Fiber 12 21 33
Totals 53 31 84

1. What is the probability that the cereal would be high calorie? In other words, what is P(high calorie)?

2. What is the probability that the cereal would be high fiber? In other words, what is P(high fiber)?

3. What is the probability that a cereal would both high calorie and high fiber? In other words, what is P(high calorie and high fiber)?

4. What is the probability that a cereal would either high calorie or high fiber? In other words, what is P(high calorie or high fiber)?

5. What is the probability that a cereal would be high calorie, given that it is high fiber? In other words, what is P(high calorie, given high fiber)?

6. What is the probaility that a cereal would be high calorie, given that is is low fiber? In other words, what is P(high calorie, given low fiber)?

7. Regarding Questions 5 and 6, how might you interpret this information as a consumer?

8. Using the simple test of independence, decide if the events high calorie and high fiber are independent or dependent. Show your work.

• Statistics for Decision -

We do not do your homework for you. If you will submit your answers, we will be glad to check your work. However, I will do the first problem to get you started.

1. total high calorie/grand total = 52/84 = 13/21. Convert to a decimal.

I hope this helps.

• Statistics for Decision -

2.22/84
3.53/84
4
57/84=0.6785
5.18/84
6.18/21
8. indepent high cal have 18/84 and high fiber have 53/84

• Statistics for Decision -

A student conduct a study and reported that 95% confidence intervak for themean ranged from 46-54. He was surethat the mean of the sample was 50,that the standard deviation of the sample was 16and that the sample was atleast 30 but could not remember exact number. can you help me

• Statistics for Decision -

Discuss how the Excel command "countif" was used in the table above. Why were the ranges (such as f2:f23) used as they were?

• Statistics for Decision -

Discuss how the Excel command "countif" was used in the table above. Why were the ranges (such as f2:f23) used as they were?

• Statistics for Decision -

61

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