1.A grocery store carries the following items. There are two main c...

1.A grocery store carries the following items. There are two main categories of food – conventional and organic ingredients – and four food groups. The data are shown in the following table.
Food Groups
Food Categories Grains Fruits Vegetables Meat Total
Conventional             163          0                93                60          316
Organic                      12          125             207               155       499
Total                         175          125             300                215       815
If all of the items were accidentally displayed together without a sticker or label to mark their origin, what is the probability that you select a fruit or vegetable in your grocery basket, regardless if it's conventional or organic? First compute for yourself the row (i.e., n1+, n2+), column (i.e., n+1, n+2, n+3, n+4), and overall (i.e., n++) totals, to aid in answering the question.
Calculation:

2. A research study examined the blood vitamin D levels of the entire US population of landscape gardeners. The population average level of vitamin D in US landscapers was found to be 30.85 ng/mL with a standard deviation of 5.457 ng/mL. Assuming the true distribution of blood vitamin D levels follows a Gaussian distribution, if you randomly select a landscaper in the US, what is the likelihood that his/her vitamin D level will be 16.98 ng/mL or less?
Calculation:

3. Suppose at random 49% of school children develop nausea and vomiting following holiday parties and that you conduct a study to examine this phenomenon, with a sample size of n=33. What is the probability that less than 25, or more than 27 children become sick?
Calculation:

4. 22% of mosquitos caught at random in any given field study carry malaria. If you conduct a study and capture 45 mosquitos, how many mosquitos infected with malaria would you expect to have in your mosquito-catching Mason jar out of all 45 mosquitos buzzing around? Round up to the nearest whole number if your calculation results in a number with decimal point values. For example, 0.2 rounds up to 1 and 74.25 rounds up to 75.
Calculation:

5. A research study examined the blood vitamin D levels of the entire US population of landscape gardeners. The population average level of vitamin D in US landscapers was found to be 51.83 ng/mL with a standard deviation of 5.455 ng/mL. Assuming the true distribution of blood vitamin D levels follows a Gaussian distribution, if you randomly select a landscaper in the US, what is the likelihood that his/her vitamin D level will be between 54.90 and 62.75 ng/mL?
Calculation:

6. A research study examined the blood vitamin D levels of the entire US population of landscape gardeners. The population average level of vitamin D in US landscapers was found to be 37.95 ng/mL with a standard deviation of 5.943 ng/mL. Assuming the true distribution of blood vitamin D levels follows a normal distribution, if you randomly select a landscaper in the US, what is the probability that his/her vitamin D level will be 48.45 ng/mL or more?
Calculation:

7. A research study examined the blood vitamin D levels of the entire US population of landscape gardeners. The population average level of vitamin D in US landscapers was found to be 30.97 ng/mL with a standard deviation of 4.975 ng/mL. Assuming the true distribution of blood vitamin D levels follows a normal distribution, what is the lower value of the region for which approximately 68% of the data are located within the distribution? Recall the 68-95-99.9% observation discussed in the "Normal Distribution" section of the textbook that is helpful in answering the question.
Calculation:

8. A grocery store carries the following items. There are two main categories of food – conventional and organic ingredients – and four food groups. The data are shown in the following table.
Food Groups
Food Categories Grains Fruits Vegetables Meat Total
Conventional             48            19                17               93          177
Organic                     127          106               283            122          638
Total                           175         125               300             215          815
If all of the conventional items were accidentally displayed together without a sticker or label to mark their origin, what is the probability that you select a conventional vegetable into your grocery basket? First compute for yourself the row (i.e., n1+, n2+), column (i.e., n+1, n+2, n+3, n+4), and overall (i.e., n++) totals, to aid in answering the question.
Calculation:

9. A research study examined the blood vitamin D levels of the entire US population of landscape gardeners. The population average level of vitamin D in US landscapers was found to be 38.6 ng/mL with a standard deviation of 5.832 ng/mL. Assuming the true distribution of blood vitamin D levels follows a Gaussian distribution, if you randomly select a landscaper in the US, what is the likelihood that his/her vitamin D level will be 46.50 ng/mL or less?
Calculation:

10. A research study examined the blood vitamin D levels of the entire US population of landscape gardeners. The population average level of vitamin D in US landscapers was found to be 43.37 ng/mL with a standard deviation of 5.636 ng/mL. Assuming the true distribution of blood vitamin D levels follows a Gaussian distribution, if you randomly select a landscaper in the US, what is the probability that his/her vitamin D level will be between 51.14 and 61.58 ng/mL?
Calculation:

11. A grocery store carries the following items. There are two main categories of food – conventional and organic ingredients – and four food groups. The data are shown in the following table.
Food Groups
Food Categories Grains Fruits Vegetables Meat Total
Conventional             90          108               99                61          358
Organic                      85          17                201             154         457
Total                           175         125               300             215         815
If all of the grains and meats were accidentally displayed together without a sticker or label to mark their origin, what is the probability that you select a grain or meat that is conventional into your grocery basket? First compute for yourself the row (i.e., n1+, n2+), column (i.e., n+1, n+2, n+3, n+4), and overall (i.e., n++) totals, to aid in answering the question.
Calculation:

12. A research study examined the blood vitamin D levels of the entire US population of landscape gardeners. The population average level of vitamin D in US landscapers was found to be 51.59 ng/mL with a standard deviation of 4.408 ng/mL. Assuming the true distribution of blood vitamin D levels follows a normal distribution, what is the 15-th percentile? Recall that the statistic, "percentile", is defined to be the value below which a given percentage of observations are located within the distribution. In other words, for this question find the vitamin D value for which 15% of the observations within the distribution are located to the left of this value.
Calculation:

13. A research study examined the blood vitamin D levels of the entire US population of landscape gardeners. The population average level of vitamin D in US landscapers was found to be 53.62 ng/mL with a standard deviation of 4.917 ng/mL. Assuming the true distribution of blood vitamin D levels follows a Gaussian distribution, if you randomly select a landscaper in the US, what is the likelihood that his/her vitamin D level will be 46.90 ng/mL or more?
Calculation:

14. Suppose at random 31% of school children develop nausea and vomiting following holiday parties and that you conduct a study to examine this phenomenon, with a sample size of n=14. What is the probability that between 12 or more and less than 14 children become sick?
Calculation:

15. A research study examined the blood vitamin D levels of the entire US population of landscape gardeners. The population average level of vitamin D in US landscapers was found to be 42.45 ng/mL with a standard deviation of 4.394 ng/mL. Assuming the true distribution of blood vitamin D levels follows a Gaussian distribution, what is the upper value of the region for which approximately 68% of the data are located within the distribution? Recall the 68-95-99.9% observation discussed in the "Normal Distribution" section of the textbook that is helpful in answering the question.
Calculation:

16. Suppose at random 32% of school children develop nausea and vomiting following holiday parties and that you conduct a study to examine this phenomenon, with a sample size of n=39. What is the probability that between 17 and 37 children become sick?
Calculation:

17. A grocery store carries the following items. There are two main categories of food – conventional and organic ingredients – and four food groups. The data are shown in the following table.
Food Groups
Food Categories Grains Fruits Vegetables Meat Total
Conventional             54            0                189             214          457
Organic                     121          125             111                1          358
Total                         175          125             300             215          815
If all of the items were accidentally displayed together without a sticker or label to mark their origin, what is the probability that you select a conventional vegetable or meat in your grocery basket? First compute for yourself the row (i.e., n1+, n2+), column (i.e., n+1, n+2, n+3, n+4), and overall (i.e., n++) totals, to aid in answering the question.
Calculation: