Which of the following is different for the t-distribution versus the normal distribution? Select one: a....
Which of the following is different for the t-distribution versus the normal distribution?
Select one: a. The use of random sampling. b. The critical values for computing the confidence interval. c. The properties of the distribution: symmetric and unimodal. d. The use of the size of the sample for computing the confidence interval.
Homework Answers
TOPIC: Finding the difference between the use of Normal and t-distribution while constructing the confidence interval.
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Which of the following is different for the t-distribution
versus the normal distribution?
Select one: a....
urgent one hours plz help quick t-distribution PARAMETER equal to n-1, where n the the sample...
urgent one hours plz help quick t-distribution PARAMETER equal to n-1, where n the the sample size used to estimate the sample mean and standard deviation. 123456789101112131415 Gives the number of STANDARD DEVIATIONS a value is from the mean. 123456789101112131415 Standard deviation of a sample statistic. 123456789101112131415 Using data to determine properties of population parameters. 123456789101112131415 A NORMAL distribution with mean 0 and standard deviation 1. 123456789101112131415 Gives the NORMALITY of sample means for large sample. 123456789101112131415 A known percentage...
This Quiz: 22 pts possit Use the standard normal distribution or the t-distribution to construct a...
This Quiz: 22 pts possit Use the standard normal distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a random sample of 40 people, the mean body mass index (BMI) was 26.9 and the standard deviation was 6.03. O A. Use a normal distribution because the sample is random, the population is normal, and is known O B. Use a...
Use the standard normal distribution or the t distribution to construct a 9 % confidence interval...
Use the standard normal distribution or the t distribution to construct a 9 % confidence interval for the population mean Justify your decision if neither distribution can be used, explain why Interpret the results ln a random sample of 17 mortgage institutions, the mean interest rate was 3.69% and the standard deviation was 36% Assume the iterest rates are normally distributed Which distribution should be used to construct the confidence interval? ○ A. Use a t-distribution because it is a...
6. Let Xi 1,... ,Xn be a random sample from a normal distribution with mean u and variance ơ2 whi...
6. Let Xi 1,... ,Xn be a random sample from a normal distribution with mean u and variance ơ2 which are both unknown. (a) Given observations xi, ,Xn, one would like to obtain a (1-a) x 100% one-sided confidence interval for u as a form of L E (-00, u) the expression of u for any a and n. (b) Based on part (a), use the duality between confidence interval and hypothesis testing problem, find a critical region of size...
Which of the following is a correct description of the t-distribution? Select one: a. It is...
Which of the following is a correct description of the t-distribution? Select one: a. It is the best distribution to use with small sample sizes. b. There are fewer scores in the tails than in a normal distribution. c. It is equal to a normal distribution with infinite degrees of freedom. d. It is the best distribution to use when the population might be right or left skewed.
What is the difference between the t-distribution and the standard normal distribution? A. The t-distribution has...
What is the difference between the t-distribution and the standard normal distribution? A. The t-distribution has thicker tails than the standard Normal distribution. B. The t-distribution is "bell-shaped". C. The mean of the t-distribution is 0. D. The t-distribution is unimodal and symmetric.
Which of the following statements is not a property of the normal probability distribution?
Which of the following statements is not a property of the normal probability distribution?A. The normal distribution is symmetricB. Exactly two-thirds of all possible observed values of the random variable x are within plus or minus one standard deviations of the population meanC. The mean, median and mode are equalD. The area under the normal curve to the right of the mean is equal to the area under the normal curve to the left of the meanE. All of the...
Which of the following is NOT a property of the t-distribution? a. it is symmetric b....
Which of the following is NOT a property of the t-distribution? a. it is symmetric b. its a shape size grows large, it gradually approaches the normal distribution c. its shape (spread) is determined by the degrees of of freedom d. it has fatter tails than the normal distribution e. all the above are properties of the t distribution
8. Circle all the conditions below which must be met to use a 1-sample T interval....
8. Circle all the conditions below which must be met to use a 1-sample T interval. (4 points) a) b) c) The number of successes and the number of failures in the study is at least ten. The data values are randomly collected and independent. The data come from a distribution that is unimodal and fairly symmetric OR you have a large sample size. None of the above. d)
8. Which of the following is not a characteristic of the normal probability distribution? Select one:...
8. Which of the following is not a characteristic of the normal probability distribution? Select one: a. Symmetry b. The total area under the curve is always equal to 1. c. 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean d. The mean is equal to the median, which is also equal to the mode. 10. Given that z is a standard normal random variable, what is the probability...
This Quiz: 22 pts possit Use the standard normal distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. In a random sample of 40 people, the mean body mass index (BMI) was 26.9 and the standard deviation was 6.03. O A. Use a normal distribution because the sample is random, the population is normal, and is known O B. Use a...
Use the standard normal distribution or the t distribution to construct a 9 % confidence interval for the population mean Justify your decision if neither distribution can be used, explain why Interpret the results ln a random sample of 17 mortgage institutions, the mean interest rate was 3.69% and the standard deviation was 36% Assume the iterest rates are normally distributed Which distribution should be used to construct the confidence interval? ○ A. Use a t-distribution because it is a...
6. Let Xi 1,... ,Xn be a random sample from a normal distribution with mean u and variance ơ2 which are both unknown. (a) Given observations xi, ,Xn, one would like to obtain a (1-a) x 100% one-sided confidence interval for u as a form of L E (-00, u) the expression of u for any a and n. (b) Based on part (a), use the duality between confidence interval and hypothesis testing problem, find a critical region of size...
8. Circle all the conditions below which must be met to use a 1-sample T interval. (4 points) a) b) c) The number of successes and the number of failures in the study is at least ten. The data values are randomly collected and independent. The data come from a distribution that is unimodal and fairly symmetric OR you have a large sample size. None of the above. d)
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