Question

In: Statistics and Probability

The pH level of soil can be very important toward plant growth, especially for blueberries which...

The pH level of soil can be very important toward plant growth, especially for blueberries which require acidic soil. Suppose the population distribution of soil pH levels in our area is normally distributed with a population mean pH level of 5.5 and a population standard deviation of 0.1.

  1. a.) Suppose you select a random sample of size n=1 from your backyard and test the soil. What is the probability of selecting soil with a pH less than 5.46?

  2. b.) Suppose instead you select a random sample of size n=25 from your backyard and calculate an average pH from this larger sample. Find the mean and standard deviation of the sampling distribution for ??̅

  3. c.) Given the sample in part c, (n=25), what is the probability of selecting soil with an average pH less than 5.46?

  4. d.) Why is there a difference between the answer to part a and part d?

  5. e.) Based on the Empirical Rule, (68-95-99.7), 95% of the sample mean pH levels for samples of size n=25 should fall between what two pH levels?

  6. f.) What pH level represents the 95 percentile of sample means for samples of size n=25?

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

The timing of germination is very important for the survival of a plant species. Under which...
The timing of germination is very important for the survival of a plant species. Under which circumstances would it be advantageous to have a non-functional GA/aleurone system?
Describe the effect of low pH and high soil density on root growth and function
Describe the effect of low pH and high soil density on root growth and function
The pH of the cytoplasm is very stable and the pH of the blood can be...
The pH of the cytoplasm is very stable and the pH of the blood can be easily changed. What is the key difference in the stability of the pH in these two systems?
The timing of germination is very important for the survival of a plant species. If you...
The timing of germination is very important for the survival of a plant species. If you were trying to discover what the specific mutation in the DNA was that lead to a non-functional GA/aleurone system, which tissues would you use for DNA sequencing analysis? Why?
Very large accelerations can injure the body, especially if they last for a considerable length of...
Very large accelerations can injure the body, especially if they last for a considerable length of time. One model used to gauge the likelihood of injury is the severity index ( ?? ), defined as ??=?^5/2 ? . In the expression, ? is the duration of the accleration, but ? is not equal to the acceleration. Rather, ? is a dimensionless constant that equals the number of multiples of ? that the acceleration is equal to. In one set of...
Very large accelerations can injure the body, especially if they last for a considerable length of...
Very large accelerations can injure the body, especially if they last for a considerable length of time. One model used to gauge the likelihood of injury is the severity index ( ?? ), defined as ??=?5/2? . In the expression, ? is the duration of the acceleration, but ? is not equal to the acceleration. Rather, ? is a dimensionless constant that equals the number of multiples of ? that the acceleration is equal to. In one set of studies...
Seedlings of the parasitic plant Cuscuta pentagona (dodder) hunt by directing growth preferentially toward nearby host...
Seedlings of the parasitic plant Cuscuta pentagona (dodder) hunt by directing growth preferentially toward nearby host plants. Lacking eyes, or even nervous system, how do they detect their victims? To investigate the possibility that the parasite detects volatile chemicals produced by host plants, Runyon et al. (2006) placed individual doddler seddlings into avail of water at the center of a circular paper disc. A chamber containing alfa-pinene, and solvents was placed at one edge of the disc, whereas a control...
Seedlings of the parasitic plant Cuscuta pentagona (dodder) hunt by directing growth preferentially toward nearby host...
Seedlings of the parasitic plant Cuscuta pentagona (dodder) hunt by directing growth preferentially toward nearby host plants. To investigate the possibility that the parasite detects volatile chemicals produced by host plants, a researcher placed individual dodder seedlings into a vial of water at the center of a circular paper disc. A chamber containing volatile extracts from tomato (a host plant) was placed at one edge of the disc, whereas a control chamber containing only solvent was placed at the opposite...
When conducting data analysis, it is very important to understand the level of measurement for a...
When conducting data analysis, it is very important to understand the level of measurement for a variable. Why is it important? Can you explain it by using an example?
The speed with which utility companies can resolve problems is very important. GTC, the Georgetown Telephone...
The speed with which utility companies can resolve problems is very important. GTC, the Georgetown Telephone Company, reports it can resolve customer problems the same day they are reported in 72% of the cases. Suppose the 13 cases reported today are representative of all complaints.    a-1. How many of the problems would you expect to be resolved today? (Round your answer to 2 decimal places.)   Number of Problems    a-2. What is the standard deviation? (Round your answer to...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT