Ch 16 Sampling Distribution Models: Creating and Interpreting

4

A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this variety of seed is 96%.
What proportion of these seeds should we expectect to germinate?

4

A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this variety of seed is 96%.
What's the standard deviation of germination rates for these packets?

Round to four places past the decimal.

4

A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this variety of seed is 96%. Assuming this is a representative sample of seeds, does the packet of 250 seeds pass the 10% condition?

4

A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this variety of seed is 96%. Check the Success/Failure Condition, give the # of successes and failures separated by a comma and space. Ex: if there are 3 success and 15 failures you enter: 3, 15
Remember:

4

A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this variety of seed is 96%. Use your answers to #3 & 4 to check the assumptions and conditions. Is a Normal Model appropriate for this scenario?

4

A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this variety of seed is 96%.
Using your answers to #1 & 2, type in the notation for the Normal Model for this scenario.
Use the format: N(15, 3) where 15 represents the mean/expected value and 3 represents the standard deviation.
Round the SD to four places past the decimal.

4

A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this variety of seed is 96%.
Give the range for the middle 95% of the data for the proportions of seeds that can be expected to grow.
Hint: see the set up below.
Separate the lower and upper limit of the range by a dash, Ex. 3-15.
Round to four places past the decimal.

4

A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this variety of seed is 96%.
If a farmer needs 98% or more of the seeds to grow, what is the probability that a seed packet will meet his expectations?
First you will calculate the z-score for 98% using your answers to #1 & 2.
Round to three places past the decimal.

4

A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this variety of seed is 96%.
If a farmer needs 98% or more of the seeds to grow, what is the probability that a seed packet will meet his expectations?
Use a Normal Model to do the calculations.
Hint: use '2nd' 'Vars' 'Normalcdf' keep the 'mu': 0 and the 'sigma':1, enter the lower and upper limits,
Round your answer to three places past the decimal.

4

About 12% of children are nearsighted. Howard and Woodridge schools will be testing the vision of 170 incoming children.
What proportion of these children should we expect to be nearsighted?

4

About 12% of children are nearsighted. Howard and Woodridge schools will be testing the vision of 170 incoming children.
What is the standard deviation of the proportion who are nearsighted?

Round to four places past the decimal.

4

About 12% of children are nearsighted. Howard and Woodridge schools will be testing the vision of 170 incoming children.
Check the Success/Failure Condition, give the # of successes and failures separated by a comma and space.
Remember:

Ex: if there are 3 success and 15 failures you enter: 3, 15
Round to one place after the decimal.

4

About 12% of children are nearsighted. Howard and Woodridge schools will be testing the vision of 170 incoming children. Assuming this is a representative sample of early elementary and elementary children, does the group of 170 children pass the 10% condition?

4

About 12% of children are nearsighted. Howard and Woodridge schools will be testing the vision of 170 incoming children. Now that you have checked the Success/Failure and 10% Conditions, does the Normal Model appear to be appropriate to model this situation?

4

About 12% of children are nearsighted. Howard and Woodridge schools will be testing the vision of 170 incoming children.
Using your answers to #10 & 11, type in the notation for the Normal Model for this scenario.
Use the format: N(15, 3) where 15 represents the mean/expected value and 3 represents the standard deviation.
Round the SD to four places past the decimal.

4

About 12% of children are nearsighted. Howard and Woodridge schools will be testing the vision of 170 incoming children.
Give the range for the middle 95% of the data for the proportions of children that are expected to be nearsighted. Use information from #10 & 11.
Think about how many SD above and below the mean that would be.
Hint: see the set up below. Separate the lower and upper limit of the range by a dash, Ex. 3-15.

Round to four places past the decimal.

4

About 12% of children are nearsighted. Howard and Woodridge schools will be testing the vision of 170 incoming children.
If an optometrist is onhand with the ability to order glasses for 18 children, how likely is the group of 170 to have 18 or fewer children that are nearsighted? You need to calculate the z-score.
1st calculate the proportion that 18 is of 170, round to three places past the decimal.
Then calculate the z-score: (keep std dev rounded to four places past the decimal)

Round to three places after the decimal.

4

About 12% of children are nearsighted. Howard and Woodridge schools will be testing the vision of 170 incoming children.
If an optometrist is onhand with the ability to order glasses for 18 children, how likely is the group of 170 to have 18 or fewer children who are nearsighted?
Use a Normal Model to do the calculations.
Hint: use '2nd' 'Vars' 'Normalcdf' keep 'mu': 0 and 'sigma':1, enter the lower and upper limits,
round your answer to three places past the decimal.

A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this variety of seed is 96%. What proportion of these seeds should we expectect to germinate?

A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this variety of seed is 96%. What's the standard deviation of germination rates for these packets? Round to four places past the decimal.

A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this variety of seed is 96%. Assuming this is a representative sample of seeds, does the packet of 250 seeds pass the 10% condition?

A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this variety of seed is 96%. Use your answers to #3 & 4 to check the assumptions and conditions. Is a Normal Model appropriate for this scenario?

About 12% of children are nearsighted. Howard and Woodridge schools will be testing the vision of 170 incoming children. What proportion of these children should we expect to be nearsighted?

About 12% of children are nearsighted. Howard and Woodridge schools will be testing the vision of 170 incoming children. What is the standard deviation of the proportion who are nearsighted?Round to four places past the decimal.

About 12% of children are nearsighted. Howard and Woodridge schools will be testing the vision of 170 incoming children. Assuming this is a representative sample of early elementary and elementary children, does the group of 170 children pass the 10% condition?

About 12% of children are nearsighted. Howard and Woodridge schools will be testing the vision of 170 incoming children. Now that you have checked the Success/Failure and 10% Conditions, does the Normal Model appear to be appropriate to model this situation?

A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this variety of seed is 96%.
What proportion of these seeds should we expectect to germinate?

A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this variety of seed is 96%.
What's the standard deviation of germination rates for these packets?

Round to four places past the decimal.

About 12% of children are nearsighted. Howard and Woodridge schools will be testing the vision of 170 incoming children.
What proportion of these children should we expect to be nearsighted?

About 12% of children are nearsighted. Howard and Woodridge schools will be testing the vision of 170 incoming children.
What is the standard deviation of the proportion who are nearsighted?

Round to four places past the decimal.