16) In order for the Distribution of the Sample Mean to be Approximately Normal, which of...
16) In order for the Distribution of the Sample Mean to be Approximately Normal, which of the following criteria must be met?
a) The Variable must be Normally Distributed, AND the Sample Size must be Large
b) The Variable must be Normally Distributed, OR the Sample Size must be Large
c) The Standard Deviation must be > 30
d) The Variable must follow Cole’s Law
Homework Answers
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16) In order for the Distribution of the Sample Mean to be
Approximately Normal, which of...
confirming my answer Question 11 (5 points) Saved The sampling distribution of the mean becomes approximately...
confirming my answer
Question 11 (5 points) Saved The sampling distribution of the mean becomes approximately normally distributed whern which of the following conditions is met? The standard deviation of the population is large. The sample size is large The population Distribution is not symmetric A single random sample is drawn from the population. Question 12 (10 points) Saved You select a sample of 100 and find a mean of 60 and a standard deviation of 12. What is the...
Which of the following statements about the sampling distribution of the sample mean, x-bar, is not...
Which of the following statements about the sampling distribution of the sample mean, x-bar, is not true? The distribution is normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough. The distribution is normal regardless of the sample size, as long as the population distribution is normal. The distribution's mean is the same as the population mean. The distribution's standard deviation is smaller than the population standard deviation. All of the...
27. On a standardized test with a normal distribution, the mean was 64.3 and the standard...
27. On a standardized test with a normal distribution, the mean was 64.3 and the standard deviation was 5.4. What is the best approximation of the percent of scores that fell between 61.6 and 75.1? 28. The mean of a normally distributed set of data is 52 and the standard deviation is 4. Approximately 95% of all the cases will lie between which measures? 29. Battery lifetime is normally distributed for large samples. The mean lifetime is 500 days and...
The distribution of heights of adult males has a mean of 69 inches and a standard...
The distribution of heights of adult males has a mean of 69 inches and a standard deviation of 4 inches. A random sample of 36 adult males is selected. Describe the sampling distribution. a. Since the sample size is greater than 30, the sampling distribution is approximately normal with a sample mean of 69 inches and a sample standard deviation of 9 inches. b. Since the sample size is greater than 30, the sampling distribution is approximately normal with a...
The quality control manager at a light bulb factory needs to estimate the mean life of...
The quality control manager at a light bulb factory needs to estimate the mean life of a large shipment of light bulbs. The standard deviation is 92 hours. A random sample of 64 light bulbs indicated a sample mean life of 360 hours. Complete parts (a) through (d) below. that the lightbulbs have a mean life of 410 hours. c. Must you assume that the population light bulb life is normally distributed? Explain. O A. Yes, the sample size is...
1- Suppose a simple random sample of sizen is drawn froma large population with mean u...
1- Suppose a simple random sample of sizen is drawn froma large population with mean u and standard deviation o. The sampling distribution of x has mean ug and standard deviation= 2- As the number of degrees of freedom in the t-distribution increase, the spread of the distribution 3- True or False: The value of to.10 with 5 degrees of freedom is greater than the value of to.10 with 10 degrees of freedom. 4- True or False: To construct a...
When estimating a population mean by a sample mean, the margin of error does NOT depend...
When estimating a population mean by a sample mean, the margin of error does NOT depend on ______. A) The confidence level B) The sample mean C) The sample size D) The population standard deviation What is the sampling distribution of a statistic? A) The distribution of observations of the statistic for all possible sizes of samples from a population B) The distribution of all possible observations of the statistic for samples of a given size from a population C)...
a variable of a population has a mean of 79 and a standard deviation of 18....
a variable of a population has a mean of 79 and a standard deviation of 18. a. Identify the sampling distribution of the sample mean for samples of size 81. b. In answering part (a), what assumptions did you make about the distribution of the variable? c. Can you answer part (a) if the sample size is 25 instead of 81? Why or why not? a. What is the shape of the sampling distribution? uniform bimodal skewed normal? What is...
A variable of a population has a mean of u = 70 and a standard deviation...
A variable of a population has a mean of u = 70 and a standard deviation of a = 7. a. Identify the sampling distribution of the sample mean for samples of size 49. b. In answering part (a), what assumptions did you make about the distribution of the variable? c. Can you answer part (a) if the sample size is 16 instead of 49? Why or why not? a. What is the shape of the sampling distribution? normal a...
Solocting a distribution for inforences on the population mean Suppose that we want to estimate the number of holdi...
Solocting a distribution for inforences on the population mean Suppose that we want to estimate the number of holding penalties assessed during a college football game. The sample of games we pick has a mean of 3.4 penalties per game and a standard deviation of 0.7 penalties per game. For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean. (In the table, Z refers to a variable...
confirming my answer
Question 11 (5 points) Saved The sampling distribution of the mean becomes approximately normally distributed whern which of the following conditions is met? The standard deviation of the population is large. The sample size is large The population Distribution is not symmetric A single random sample is drawn from the population. Question 12 (10 points) Saved You select a sample of 100 and find a mean of 60 and a standard deviation of 12. What is the...
Which of the following statements about the sampling distribution of the sample mean, x-bar, is not true? The distribution is normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough. The distribution is normal regardless of the sample size, as long as the population distribution is normal. The distribution's mean is the same as the population mean. The distribution's standard deviation is smaller than the population standard deviation. All of the...
27. On a standardized test with a normal distribution, the mean was 64.3 and the standard deviation was 5.4. What is the best approximation of the percent of scores that fell between 61.6 and 75.1? 28. The mean of a normally distributed set of data is 52 and the standard deviation is 4. Approximately 95% of all the cases will lie between which measures? 29. Battery lifetime is normally distributed for large samples. The mean lifetime is 500 days and...
The quality control manager at a light bulb factory needs to estimate the mean life of a large shipment of light bulbs. The standard deviation is 92 hours. A random sample of 64 light bulbs indicated a sample mean life of 360 hours. Complete parts (a) through (d) below. that the lightbulbs have a mean life of 410 hours. c. Must you assume that the population light bulb life is normally distributed? Explain. O A. Yes, the sample size is...
1- Suppose a simple random sample of sizen is drawn froma large population with mean u and standard deviation o. The sampling distribution of x has mean ug and standard deviation= 2- As the number of degrees of freedom in the t-distribution increase, the spread of the distribution 3- True or False: The value of to.10 with 5 degrees of freedom is greater than the value of to.10 with 10 degrees of freedom. 4- True or False: To construct a...
A variable of a population has a mean of u = 70 and a standard deviation of a = 7. a. Identify the sampling distribution of the sample mean for samples of size 49. b. In answering part (a), what assumptions did you make about the distribution of the variable? c. Can you answer part (a) if the sample size is 16 instead of 49? Why or why not? a. What is the shape of the sampling distribution? normal a...
Solocting a distribution for inforences on the population mean Suppose that we want to estimate the number of holding penalties assessed during a college football game. The sample of games we pick has a mean of 3.4 penalties per game and a standard deviation of 0.7 penalties per game. For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean. (In the table, Z refers to a variable...
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