1. Is there any bias in their survey Question. Explain
What do you think would help students pay more attention in class?
2. Suppose you are researching the eating habits of people your age. What method could you use to find the percent of students in your grade who eat five servings of fruit and vegetables each day. What is an example of a survey question that does NOT have bias?
1. There doesn't appear to be any bias in the survey question. It is a neutral question and doesn't seem to lead respondents in any particular direction.
2. One method to find the percent of students in your grade who eat five servings of fruit and vegetables each day would be to conduct a survey. You could design the survey to ask questions related to eating habits, including whether or not the respondent eats five servings of fruits and vegetables each day. An example of a survey question that does not have bias would be "How many servings of fruits and vegetables do you typically eat in a day?" This question is open-ended and allows the respondent to answer freely without any influence or direction from the question itself.
A) the average height of sunflowers in a field is 64 inches with a standard deviation of 3.5 inches. Describe a normal curve for the distribution, including the values on the horizontal axis at one, two, and three standard deviations from the mean
B) if there are 3,000 plants in the field, approximately how many will be taller than 71 inches Need Help, last question
A) The normal curve for the distribution of sunflower heights in the field would be symmetrical around the mean of 64 inches. The horizontal axis of the curve would show the values of sunflower heights in inches, and the vertical axis would show the frequency or probability of each value occurring.
One standard deviation above the mean would be:
64 + 3.5 = 67.5 inches
Two standard deviations above the mean would be:
64 + (2 × 3.5) = 71 inches
Three standard deviations above the mean would be:
64 + (3 × 3.5) = 74.5 inches
B) To find how many plants will be taller than 71 inches, we need to find the proportion of plants that fall above this height on the normal curve.
The z-score formula can be used to find the proportion:
z = (X - μ) / σ
where X is the height we want to find the proportion of plants above (71 inches in this case), μ is the mean (64 inches), and σ is the standard deviation (3.5 inches).
z = (71 - 64) / 3.5 = 2
Using a standard normal distribution table or calculator, we can find that the proportion of plants above 71 inches is approximately 0.0228.
To find the number of plants taller than 71 inches, we multiply this proportion by the total number of plants in the field:
0.0228 × 3,000 = 68.4
Therefore, approximately 68 plants will be taller than 71 inches.
1. To determine if there is any bias in the survey question, "What do you think would help students pay more attention in class?" we need to examine if any particular viewpoint or answer is favored over others. In this case, the question seems fairly open-ended and does not explicitly promote any specific bias. However, it is important to note that if the question had included options that only focus on one type of solution, like "Do you think stricter discipline is the key to improving student attention?" it could potentially introduce bias.
2. To find the percentage of students in your grade who eat five servings of fruits and vegetables each day, you could use a survey method to collect data. Here is an example of a survey question that does NOT have bias: "How many servings of fruits and vegetables do you typically consume per day?" This question does not lead the respondents towards any particular answer and allows them to provide their own response, ensuring a more neutral survey process.