Question

In: Statistics and Probability

Protein content in a particular farmer’s soybean crop is normally distributed with a mean of 40...

Protein content in a particular farmer’s soybean crop is normally distributed with a mean of 40 grams and a standard deviation of 20 grams. Suppose we take samples of size 100 soy plants. Use this data to answer the following:

a.) Find the probability that a randomly chosen soy plant’s protein content will be less than 38 grams. Write answer as decimal rounded to the thousandth.

b.) Find the probability the sample mean protein content will be less than 38 grams. Write answer as decimal rounded to the thousandth.

Solutions

Expert Solution

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(-0.1, TRUE)" to find the probability.

----------------------------------------------------------------------------------------------------------------

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(-1, TRUE)" to find the probability.

orchestra answered 1 year ago
Next > < Previous

Related Solutions

The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams)...
The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) ? μ and standard deviation ?=0.1 σ = 0.1 . The brand advertises that the mean nicotine content of their cigarettes is 1.5 mg. Now, suppose a reporter wants to test whether the mean nicotine content is actually higher than advertised. He takes measurements from a SRS of 15 cigarettes of this brand. The sample yields an average of 1.4 mg of nicotine. Conduct...
The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams)...
The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) μμ and standard deviation σ=0.1σ=0.1. The brand advertises that the mean nicotine content of their cigarettes is 1.5 mg. Now, suppose a reporter wants to test whether the mean nicotine content is actually higher than advertised. He takes measurements from a SRS of 10 cigarettes of this brand. The sample yields an average of 1.6 mg of nicotine. Conduct a test using a significance...
3. The nicotine content in cigarettes of a certain brand is normally distributed with mean (in...
3. The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams)μ. The brand advertises that the mean nicotine content of their cigarettes is 1.5, but measurementson a random sample of 100 cigarettes of this brand gave a mean of ̄x= 1.53 and standard deviations= 0.1. Is there sufficient evidence in the sample to suggest that the mean nicotine content is actuallyhigher than advertised? Useα= 0.05. (Hint: follow the steps: 1) setH0andHa; 2) set the...
3. The nicotine content in cigarettes of a certain brand is normally distributed with mean (in...
3. The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) µ. The brand advertises that the mean nicotine content of their cigarettes is 1.5, but measurements on a random sample of 100 cigarettes of this brand gave a mean of ¯ x = 1.53 and standard deviation s = 0.1. Is there sufficient evidence in the sample to suggest that the mean nicotine content is actually higher than advertised? Use α = 0.05....
The population of weights of a particular fruit is normally distributed, with a mean of 483...
The population of weights of a particular fruit is normally distributed, with a mean of 483 grams and a standard deviation of 20 grams. If 15 fruits are picked at random, then 8% of the time, their mean weight will be greater than how many grams? ROUND ANSWER TO NEAREST GRAM!!!!!!
The lifetimes of lightbulbs of a particular type are normally distributed with a mean of 400...
The lifetimes of lightbulbs of a particular type are normally distributed with a mean of 400 hours and a standard deviation of 10 hours. What percentage of the bulbs have lifetimes that lie within 2 standard deviations to either side of the mean? Use the Empirical Rule and write your answer as a percent rounded to 2 decimal places.
The population of weights of a particular fruit is normally distributed, with a mean of 672...
The population of weights of a particular fruit is normally distributed, with a mean of 672 grams and a standard deviation of 35 grams. If 29 fruits are picked at random, then 4% of the time, their mean weight will be greater than how many grams? Round your answer to the nearest gram. to find answer
The population of weights of a particular fruit is normally distributed, with a mean of 218...
The population of weights of a particular fruit is normally distributed, with a mean of 218 grams and a standard deviation of 19 grams. If 20 fruits are picked at random, then 5% of the time, their mean weight will be greater than how many grams? ROUND ANSWER TO NEAREST GRAM
Suppose that scores on a particular test are normally distributed with a mean of 140 and...
Suppose that scores on a particular test are normally distributed with a mean of 140 and a standard deviation of 16. What is the minimum score needed to be in the top 20% of the scores on the test? Carry your intermediate computations to at least four decimal places, and round your answer to one decimal place.
A) A particular fruit's weights are normally distributed, with a mean of 218 grams and a...
A) A particular fruit's weights are normally distributed, with a mean of 218 grams and a standard deviation of 5 grams. If you pick 20 fruit at random, what is the probability that their mean weight will be between 215 grams and 215 grams B) A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.3 years, and standard deviation of 1.1 years. If 25 items are picked at random, 2% of the time their...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT