Question #204905
Find the area to the left of critical value = 2.500 when the sample size is 29. [Hint: One-tailed test]
Expert's answer
Given sample size = 29, degrees of freedom = n-1= 29-1=28 Looking at t table,
The critical value:
So, the area to the left of critical value=99%
Learn more about our help with Assignments: Statistics and Probability
Comments
Dear krbyy, please use the panel for submitting a new question.
1. How does t distribution DIFFER from a normal distribution? A. The t-distribution is centered at 0. B. The t-distribution is symmetric in the middle. C. The t-distribution has a thicker tail. D. The t-distribution has a higher peak. 2. What critical values under t-distribution correspond to degrees of freedom equal to 28 and 90% confidence level on two-tailed test? A. t = ± 12.045 B. t = ± 2.048 C. t = ± 17.01 D. t = ± 1.699
1. In the absence of the population variance and/or if the sample size is small, which sampling distribution is being used? A. chi distribution B. normal distribution C. z distribution D. t distribution 2. In Student's t-distribution, if the sample size is 25, what is the degree of freedom? A. 23 B. 24 C. 25 D. 26
Suppose the average age of family members is 34 with a standard deviation of 4. 100 members of the community decided to have a summer outing bonding and relaxation. 1. Find the probability that the average of these members is less than 35 years old. A. 99.38% B. 94.45% C. 91.32% D. 95.00%
Suppose the average age of family members is 34 with a standard deviation of 4. 100 members of the community decided to have a summer outing bonding and relaxation. 1. Find the z-score corresponding to an average age of 35 years old. A. z = 1.5 B. z = 2.5 C. z = 2.0 D. z = 3.0
Suppose the average age of family members is 34 with a standard deviation of 4. 100 members of the community decided to have a summer outing bonding and relaxation. 1. What is the mean and standard deviation of the population? A. mean = 34 and st. dev. = 35 B. mean = 34 and st. dev. = 4 C. mean = 100 and st. dev. = 4 D. mean = 35 and st. dev. = 4
1. The _______ states: "As the sample size n increases, the shape of the distribution of the sample means taken without replacement from a population with mean and the standard deviation o will approach a normal distribution." A. Normal Distribution B. Empirical Rule C. Pythagorean Theorem D. Central Limit Theorem 2. As the sample size n increases, the standard deviation of the sampling distribution _____________. A. decreases B. increases C. not enough information is given D. stays the same
1. A population consists of the data {1, 2, 3, 4}. How many different samples of size n = 2 can be drawn from the population without replacement? A. 4 B. 6 C. 3 D. 5 2. If a population has a mean of 12.8, what is the mean of the sampling distribution? A. less than 12.8 B. exactly the same as 12.8 C. larger than 12.8 D. closer to 12.8
A population consists of the data {3, 5, 7, 9, 11}. How many different samples of size n = 3 can be drawn from the population without replacement?