There are hundreds of apples on the trees, so you randomly choose just 96 apples and get a mean weight of 86.37 grams with a standard deviation of 6.79 grams. Assuming that the weight of the apples is normally distributed, what is the margin of error of the 90% confidence interval for the mean weight of the apples?
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- A firm is looking to employ a person as an engineer. Applicants of earlier years have standart deviation of 35.8. we pick random 75 people who apply to job this year and their mean result of the exam is 167.5. What is the 90 percent confidince interval for the mean of all applicants exam results?The mean diastolic blood pressure for a random sample of 70 people was 96 millimeters of mercury. If the standard deviation of individual blood pressure readings is known to be 11 millimeters of mercury, find a 90% confidence interval for the true meandiastolic blood pressure of all people. Then give its lower limit and upper limit.An agriculture researcher plants twenty five plots with a new variety of corn. The average yielded for these plots is x-bar = 150 bushels per acre. Assume that the yield per acre for the new variety of corn follows a normal distribution with unknown mean and standard deviation = 10 bushels per acre. A 90% Confidence interval for mean is?
- Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 3 inches. The heights of 10 randomly selected students are 68, 62, 68, 75, 71, 60, 69, 62, 69 and 70. x¯ = Margin of error at 95% confidence level = 95% confidence interval = [Assume that weights of adult females are normally distributed with a mean of 79 kg and a standard deviation of 22 kg. What percentage of individual adult females have weights between 74 kg and 84 kg? If samples of 64 adult females are randomly selected and the mean weight is computed for each sample, what percentage of the sample means are between 74 kg and 84 kg?Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 5 inches. The heights of 8 randomly selected students are 63, 60, 74, 68, 60, 66, 72 and 61. x¯ = Margin of error at 99% confidence level = 99% confidence interval =
- The president of a large university wishes to compare the standard deviation of the ages of students presently enrolled to previous years. The distribution of ages has been approximately normal. Find the 90% confidence interval for the population standard deviation of the student ages of the University. A random sample of 20 university students has a standard deviation of 6.1 years in a mean of 23.8 years what is the confidence interval of the population standard deviation?An agricultural researcher plants 14 plots with a new variety of corn. The average yield for these plots is X = 155 bushels per acre. Assume that the yield per acre for new variety of corn follows a normal distribution with unknown mean and a calculated sample standard deviation s = 10 bushels. A 90% confidence interval for the unknown mean isTo qualify for a medical study, an applicant must have systolic blood pressure in the 60% of the middle range. If the systolic blood pressure is normally distributed with a mean of 120 and a standard deviation of 4, find the upper and lower limits of blood pressure a person must have to qualify for the study.
- Assume that weights of adult females are normally distributed with a mean of 77 kg and a standard deviation of 22 kg. What percentage of individual adult females have weights between 71 kg and 83 kg? If samples of 100 adult females are randomly selected and the mean weight is computed for each sample, what percentage of the sample means are between 71 kg and 83 kg?A random sample of sizen=20 has the mean 20 and standard deviation 5. What is the standard error of the mean ?Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 63 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 9 and a standard deviation of 2. What is the 95% confidence interval for the number of chocolate chips per cookie for Big Chip cookies?