Ron is a huge golfer and he is interested in purchasing a new brand of golf balls that claim to extend his driving range. Ron sets up an experiment where he will test these new golf balls against the current golf balls he uses to see if his driving distance had increased. He will hit an SRS of 30 new golf balls and record the average range and then will hit an SRS of 30 current golf balls and record the average range. He will then compare the averages to see if there is a difference between the two true distances. 11) What type of study is being conducted by Ron and, of the following, which is the appropriate t- interval for inference? (A) A completely randomized design and a t-interval for a difference between means for independent samples (B) A completely randomized design and a t-interval for a mean difference (C) A matched-pairs design and a t-interval for a difference between means for independent samples (D) A matched-pairs design and a t-interval for a mean difference (E) An observational study and a t-interval for a difference between means for independent samples 12) The following is a table of his results. New Golf Balls Old Golf Balls ¿(yards) 203.5 197 4 S, (yards) 5.6 10.3 We set up our hypothesis to see if there is a significant difference in mean driving distance between the new golf balls and the old golf balls. Based on our data, what is the appropriate t-statistic? (A) 1.01 (B) 1.55 (C) 1.98 (D 2.85 (E) 3.33 13) Which of the following is a true statement about the study being conducted by Ron? (A) Because this is an experiment, the random condition was violated due to no random assignment. (B) Because this is an experiment, the fact that an SRS of balls was taken is insignificant. (C) The central limit theorem tells us that the sampling distribution of driving distance for each of the individual samples of balls will be approximately normal. (D) The central limit theorem tells us that as long as our sample size is above 30, the population distribution will be approximately normal. (E) The results of this study will be meaningless because it was not double-blind.

Ron is a huge golfer and he is interested in purchasing a new brand of golf balls that claim to extend his driving range. Ron sets up an experiment where he will test these new golf balls against the current golf balls he uses to see if his driving distance had increased. He will hit an SRS of 30 new golf balls and record the average range and then will hit an SRS of 30 current golf balls and record the average range. He will then compare the averages to see if there is a difference between the two true distances. 11) What type of study is being conducted by Ron and, of the following, which is the appropriate t- interval for inference? (A) A completely randomized design and a t-interval for a difference between means for independent samples (B) A completely randomized design and a t-interval for a mean difference (C) A matched-pairs design and a t-interval for a difference between means for independent samples (D) A matched-pairs design and a t-interval for a mean difference (E) An observational study and a t-interval for a difference between means for independent samples 12) The following is a table of his results. New Golf Balls Old Golf Balls ¿(yards) 203.5 197 4 S, (yards) 5.6 10.3 We set up our hypothesis to see if there is a significant difference in mean driving distance between the new golf balls and the old golf balls. Based on our data, what is the appropriate t-statistic? (A) 1.01 (B) 1.55 (C) 1.98 (D 2.85 (E) 3.33 13) Which of the following is a true statement about the study being conducted by Ron? (A) Because this is an experiment, the random condition was violated due to no random assignment. (B) Because this is an experiment, the fact that an SRS of balls was taken is insignificant. (C) The central limit theorem tells us that the sampling distribution of driving distance for each of the individual samples of balls will be approximately normal. (D) The central limit theorem tells us that as long as our sample size is above 30, the population distribution will be approximately normal. (E) The results of this study will be meaningless because it was not double-blind.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Question

Ron is a huge golfer and he is interested in purchasing a new brand of golf balls that claim to extend his driving

range. Ron sets up an experiment where he will test these new golf balls against the current golf balls he uses to

see if his driving distance had increased. He will hit an SRS of 30 new golf balls and record the average range

and then will hit an SRS of 30 current golf balls and record the average range. He will then compare the

averages to see if there is a difference between the two true distances.

11) What type of study is being conducted by Ron and, of the following, which is the appropriate t-

interval for inference?

(A) A completely randomized design and a t-interval for a difference between means for independent samples

(B) A completely randomized design and a t-interval for a mean difference

(D) A matched-pairs design and a t-interval for a mean difference

(E) An observational study and a t-interval for a difference between means for independent samples

12) The following is a table of his results.

New Golf Balls

Old Golf Balls

¿(yards)

203.5

197 4

S, (yards)

5.6

10.3

We set up our hypothesis to see if there is a significant difference in mean driving distance between the new

golf balls and the old golf balls. Based on our data, what is the appropriate t-statistic?

(A) 1.01

(B) 1.55

(D 2.85

(E) 3.33

13) Which of the following is a true statement about the study being conducted by Ron?

(A) Because this is an experiment, the random condition was violated due to no random assignment.

(B) Because this is an experiment, the fact that an SRS of balls was taken is insignificant.

samples of balls will be approximately normal.

(D) The central limit theorem tells us that as long as our sample size is above 30, the population distribution

will be approximately normal.

(E) The results of this study will be meaningless because it was not double-blind.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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