so on the last post i couldn't reply cause it was locked, but i already answered them on my own. i don't know how to delete the questions sorry about that, and i wasn't really expecting to gett an answer but courage the cowardly dog helped so i was able to solve the other one's by myself

but for any other person having a hard time answering the questions these were my answers

1. A normal distribution has a mean of 103 and a standard deviation of 2.7.

What is the z-score of 105?

Answer: 0.74

2. A normal distribution has a mean of 103 and a standard deviation of 2.7.

What is the z-score of 105?

Answer: 17.8

3. Use technology or a z-score table to answer the question.

The weights of logs in a wood pile are normally distributed with a mean of 17 pounds and a standard deviation of 3.4 pounds. The wood pile is composed of 325 logs.

How many of the logs will weigh 15 pounds or more

Answer: 235

4. The ages of members of a policy action group are normally distributed with a mean of 33 years and a standard deviation of 2 years.

There are 400 members in the group.

About how many members are expected to be between 29 years old and 37 years old

Answer: 380

5. Use technology or a z-score table to answer the question.

The expression P(z<1.71) represents the area under the standard normal curve below the given value of z.

What is P(z<1.71)?

Answer: 0.9564

6. Use technology or a z-distribution table to find the indicated area.

The weights of tomatoes in a bin are normally distributed with a mean of 120 grams and a standard deviation of 4.3 grams.

Approximately 40% of the tomatoes weigh less than which amount?

Answer: 119 g

7. Suppose the scores on a grammar quiz are normally distributed with a mean of 76 and a standard deviation of 8.

Which group describes 16% of the population of grammar quiz scores?

Answer: scores below 68

8.

Select Yes or No to state whether each data set is likely to be normally distributed.

Data Set

the weights of the babies born at a hospital yes/no

the number of babies born each month at a hospital yes/no

the number of rooms on each floor of a hospital yes/no

the lengths of the babies born at a hospital yes/no

Answer: yes, yes, no, yes

9. The masses of the oranges on sale at a farm stand are normally distributed with a mean of 239 grams and a standard deviation of 25 grams

Answer 0.8

10. The heights of the peach trees in an orchard are normally distributed with a mean of 12.5 feet and a standard deviation of 1.8 feet.

What is the height of a peach tree with a z-score of −0.5−0.5 ?

Answer: 11.6

11. Use technology or a z-distribution table to find the indicated area.

The masses of the eggs collected on a farm are normally distributed with a mean of 55 grams and a standard deviation of 4.2 grams.

Approximately 80% of the eggs on the farm have a mass greater than which mass?

Answer: 51.5 g

12. Use technology or a z-score table to answer the question.

The weights of boxes of rice produced at a factory are normally distributed with a mean of 24 ounces and a standard deviation of 1.3 ounces. Consider a shipment of 1200 boxes of rice.

How many of the boxes will weigh 25 ounces or less?

Answer: 935

btw wont post the other 50 questions on the study guide , any onlookers just look at pavlov's formula and the way he/she answered it