In the Department of Education at UR University, student records suggest that the population of students spends an average of 5.60 hours per week playing organized sports. The population's standard deviation is 2.00 hours per week. Based on a sample of 49 students, Healthy Lifestyles Incorporated (HLI) would like to apply the central limit theorem to make various estimates. |
a. | Compute the standard error of the sample mean. (Round your answer to 2 decimal places.) |
Standard error |
b. |
What is the chance HLI will find a sample mean between 5 and 6.2 hours? (Round z and standard error values to 2 decimal places and final answer to 4 decimal places.) |
Chance |
c. |
Calculate the probability that the sample mean will be between 5.4 and 5.8 hours. (Round z and standard error values to 2 decimal places and final answer to 4 decimal places.) |
Probability |
d. | How strange would it be to obtain a sample mean greater than 7.90 hours? |
In the Department of Education at UR University, student records suggest that the population of students...
Based on all student records at Camford University, students spend an average of 5.5 hours per week playing organized sports. The population's standard deviation is 2.2 hours per week. Based on a sample of 121 students, Healthy Lifestyles Incorporated (HLI) would like to apply the central limit theorem to make various estimates. a. Compute the standard error of the sample mean. (Round your answer to 1 decimal place.) Standard error C. Calculate the probability that the sample mean will be...
A random sample of size n = 347 is taken from a population of size N = 7,200 with mean μ =-70 and variance ơ2-151. Use Table 1. a-1. Is it necessary to apply the finite population correction factor? Yes O No a-2. Calculate the expected value and the standard error of the sample mean. (Negative values should be indicated by a minus sign. Round "standard error" to 2 decimal places.) Expected value Standard error b. What is the...
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal probability distribution with a mean of 35 hours. hours and a standard deviation of 5.2 hours. As a part of its quality assurance program, Power +, Inc. tests samples of 9 batteries. a. What can you say about the shape of the distribution of the sample mean? Sample mean Normal b. What is the standard error of the distribution of...
Human Resource Consulting (HRC) is surveying a sample of 66 firms in order to study health care costs for a client. One of the items being tracked is the annualdeductible that employees must pay. The state Bureau of Labor reports the mean of this distribution is $498 with a standard deviation of $85.(a) Compute the standard error of the sample mean for HRC. (Round your answer to 2 decimal places.)Standard error(b) What is the chance HRC finds a sample mean...
A random sample of size n=68 is taken from a finite population of size N=644 with mean y = 239 and variance o?. 325. [You may find it useful to reference the table.) 8-1. Is it necessary to apply the finite population correction factor? Yes No 0-2. Calculate the expected value and the standard error of the sample mean (Round "expected value to a whole number and standard error to 4 decimal places.) Answer is complete but not entirely correct....
A random sample of size n = 50 is taken from a population with mean μ = −9.5 and standard deviation σ = 2. [You may find it useful to reference the z table.] a. Calculate the expected value and the standard error for the sampling distribution of the sample mean. (Negative values should be indicated by a minus sign. Round "expected value" to 1 decimal place and "standard deviation" to 4 decimal places.) b. What is the probability that...
The times that college students spend studying per week have a distribution skewed to the left with a mean of 8.4 hours and a standard deviation of 2.1 hours. Find the probability that the mean time spent studying per week for a random sample of 65 college students would be a. between 7.9 and 8.6 hours. Round your answer to two decimal places. P= b. less than 8.2 hours. Round your answer to two decimal places. P=
Chapter 07, Section 7.4, Problem 036 The times that college students spend studying per week have a distribution skewed to the left with a mean of 8.2 hours and a standard deviation of 2.8 hours. Find the probability that the mean time spent studying per week for a random sample of 65 college students would be a. between 7.7 and 8.4 hours. Round your answer to two decimal places. b. less than 8.1 hours. Round your answer to two decimal...
The times that college students spend studying per week have a distribution skewed to the right with a mean of 8.6 hours and a standard deviation of 2.8 hours. Find the probability that the mean time spent studying per week for a random sample of 49 college students would be between 8.2 and 8.9 hours. Round your answer to two decimal places.
Power+, produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal probability distribution with a mean of 32 hours and a standard deviation of 5.2 hours. As a part of its testing program, Power+ tests samples of 36 batteries. Use Appendix B.1 for the z-values. a. What can you say about the shape of the distribution of sample mean? b. What is the standard error of the distribution of the sample mean? (Round...