Question

In: Statistics and Probability

1.)The ages of millionaires in a city are normally distributed with a population standard deviation of...

1.)The ages of millionaires in a city are normally distributed with a population standard deviation of 3 years and an unknown population mean. A random sample of 23 millionaires is taken and results in a sample mean of 44 years.

Find the margin of error for a 95% confidence interval for the population mean.

z0.10z0.10 z0.05z0.05 z0.025z0.025 z0.01z0.01 z0.005z0.005
1.282 1.645 1.960 2.326 2.576

You may use a calculator or the common z values above.

  • Round the final answer to two decimal places.

2.) A college admissions director wishes to estimate the mean age of all students currently enrolled. The age of a random sample of 23 students is given below. Assume the ages are approximately normally distributed. Use Excel to construct a 90% confidence interval for the population mean age. Round your answers to two decimal places and use increasing order

Age
25.8
22.2
22.5
22.8
24.6
24.0
22.6
23.6
22.8
23.1
21.5
21.4
22.5
24.5
21.5
22.5
20.5
23.0
25.1
25.2
23.8
21.8
24.1

Solutions

Expert Solution



Related Solutions

1. A population is normally distributed with a mean of 18 and a standard deviation of...
1. A population is normally distributed with a mean of 18 and a standard deviation of 2.5. What is the probability of randomly selecting one item from the population having: a) A value greater than 18. b) A value between 14 and 21.
a. A population is normally distributed with a mean of 16.4 and a standard deviation of...
a. A population is normally distributed with a mean of 16.4 and a standard deviation of 1.4. A sample of size 36 is taken from the population. What is the the standard deviation of the sampling distribution? Round to the nearest thousandth. b. A population is normally distributed with a mean of 15.7 and a standard deviation of 1.4. A sample of size 24 is taken from the population. What is the the standard deviation of the sampling distribution? Round...
1. A normally distributed population has a mean of 69 and a standard deviation of 13....
1. A normally distributed population has a mean of 69 and a standard deviation of 13. Sample averages from samples of size 24 are collected. What would be the lower end of the centered interval that contains 95% of all possible sample averages? Round to the nearest hundredth 2. Suppose a sample of 104 healthy children is taken from a population with a standard deviation of 0.4 degrees Fahrenheit. What would be sigma x-bar? Round to the nearest thousandth
Q. 1.  Suppose a population was normally distributed with a mean of 10 and a standard deviation...
Q. 1.  Suppose a population was normally distributed with a mean of 10 and a standard deviation of 2. What proportion of the scores is below 12.5? Q.2. Let’s say that the average IQ of a group of people is 105 with a standard deviation of 15. What is the standardized (or z- score) of someone: (a)  with an IQ of 93? (b)  with an IQ of 135? No handwriting please, or make it clear thanks
Assume that a population is normally distributed with a mean of 100 and a standard deviation...
Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more? Why or why not?
For a normally distributed population, : with a standard deviation of 3.8 An article claims the...
For a normally distributed population, : with a standard deviation of 3.8 An article claims the mean life expectancy of wolves is greater than 7 years. David is a researcher and he decides to sample the population. He obtains the age of death of 30 wolves that have been studied and found the mean age of death to be 8.2. Determine the test statistic that David should use to help make decisions about whether or not the mean lifespan of...
A population is normally distributed with mean ? and standard deviation ?. Find the percentage of...
A population is normally distributed with mean ? and standard deviation ?. Find the percentage of values which are between ?−2? and ?+2?.
The weight (kg) of chocolate is normally distributed with population mean ? and population standard deviation...
The weight (kg) of chocolate is normally distributed with population mean ? and population standard deviation 1.2 kg. The manager claimed that the weight of this chocolate is 9.0 kg. We are now doing a hypothesis testing: ?0: ? = 10.1 ?? ?1: ? > 10.1 at 5% significance level and the sample mean is 11.4 kg. (a) (10) Find the least sample size such that the null hypothesis will be rejected. (b) (5) Find the rejection region in term...
Problems 1-4 assume a normally distributed population with a mean = 48 and standard deviation =...
Problems 1-4 assume a normally distributed population with a mean = 48 and standard deviation = 5. Be sure to sketch the curve, include formulas & work, round appropriately, and circle your final answer. What percent of the scores fall: at or below 54? at or above 40? (6 points) What proportion of scores lie between: 31 and 48? 31 and 54? (4 points) Suppose we took a sample of 5000 scores from this distribution. Of those 5000 scores, how...
a. A normally distributed population has a mean of 98.36 and a standard deviation of 0.38....
a. A normally distributed population has a mean of 98.36 and a standard deviation of 0.38. Determine the sample mean at the 80th percentile mark for samples of size 68. Round to the nearest hundredth b. A normally distributed population has a mean of 98.15 and a standard deviation of 0.5. Determine the sample mean at the 20th percentile mark for samples of size 65. Round to the nearest hundredth c. A normally distributed population has a mean of 121...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT