Use the confidence level and sample data to find a confidence interval for estimating the population . Round your answer to teh same number of decimal places as the sample mean.  9) A random sample of 105 light bulbs had a mean life of x bar = 441 hours, with a standard deviation of 40 hours. Construct a 90% confidence interval for the mean life, (mu), of ALL light bulbs of this type.

This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used.  0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean.  0.5 point for finding the correct probability.   All work must be shown in order to receive any credit.  Please upload your completed assignment here.    The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.

Cereals sodium values have a mean of 167 and a standard deviation of 77.3. Find the z-score for the cereal that has a sodium value of 0. How would you interpret this z-score?

Assume that adults have IQ scores that are normally distributed with a mean of 104.5 and a standard deviation 24.7. Find the first quartile Q,. which is the IQ score separating the bottom 25% from the top 75%. (Hint Draw a graph.) The first quartile is (Type an integer or decimal rounded to one decimal place as needed.)

I need accurate answer with full details.

Jeff is doing an experiment involving mice. The mice weights have mean weight 3.74 ounces and standard deviation 0.026 ounces. Jeff selects 100 mice independently and calculates the sample mean, x̄, of their weights. What is the standard deviation of x̄?

Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard deviation 19.3. Find the first quartile Q1,which is the IQ score separating the bottom 25% from the top 75%. The first quartile is?

We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately �=76.4. We would like to be 95% confident that the estimate is within 0.5 of the true population mean. How large of a sample size is required?�=

Identify the parameter(s). Whether or not a person consumes alcohol. The population mean amount of alcohol consumed by each person per year. all individuals who consume alcohol. The population proportion of those who consume alcohol. info: The average American consumes 100 liters of alcohol per year. Does the average college student consume less alcohol per year? A researcher surveyed 13 randomly selected college students and found that they averaged 85.7 liters of alcohol consumed per year with a standard deviation of 21 liters.