Project #21368 - MATH Statistics

8. Suppose a baseball player had 238 hits in a season. In the given probability distribution, the random variable X represents the number of hits the player obtained in a game. X 0 1 2 3 4 5 P(x) 0.1733 0.4853 0.2119 0.0927 0.0354 0.0014 (a) Compute and interpret the mean of the random variable X. ______hits. (Round to one decimal as needed) Which of the following interpretation of the mean is correct? A. as the number of experiments increases, the mean of the observations will approach the mean of the random variable.  B. As the number of experiments n decreases, the mean of the observations will approach the mean of the random variable. C. the observed value of the random variable will be less than the mean of the random variable in most experiments.  D. The observed value of the random variable will be equal to the mean of the random variable in most experiments. 

 

9. A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the independent trials of the experiment. N=10, p=0.45, x< 4 _ The probability of success of x ≤ 4 is___ (round to four decimal places as needed)

 

11. The reading speed of second grade students in a large city is appoximately normal, with a mean of 91 words per minute ( wpm) and a standard deviation of 10 wpm. Complete parts (a) through (e). (a) What is the probability a randomly selected student in the city will read more than 96 words per minute? The probability is ____ (round to four decimal places as needed) (b) What is the probability that a random sample of 14 second grade students from the city results in a mean reading rate of more that 96 words per minute? The probability is____ (round to four decimal places as needed) (c) What is the probability that a random sample of 28 second grade studens from the city results in a mean reading rate of more than 96 words per minute? The probability is____ (Round to four decimal places as needed) _ (d) What effect does increasing the sample size have on the probability? Explanation for this result. A. Increasing the sample size increases the probability because σ-/x increases as n increases B. Increasing the sample size increases the probability because σ-/x decreases as n increases C. Increasing the sample size decreases the probability because σ-/x increases as n increases D. Increasing the sample size decreases the probability because σ-/x decreases as n increases (e) A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 20 seconds grade students was 93.3 wpm. What might you include based on this result? Select the correct choice and fill in the answer box in your choice below. (round to the decimal places as needed) A. A mean reading rate of 93.3 wpm is not unsual since the probability of obtaining a result of 93.3 wpm or more is_____. The new program is not abundantly more effective than the old program. B. A mean reading rate of 93.3 wpm is unusual since the probability of obtaining a result of 93.3 wpm or more is___. The new program is abundantly more efective than the old program.

 

12. The shape of the distribution of the time required to get an oil change at a 10-minute oil-change facility is unknown. However records indicate that the mean is 11.7 minutes, and the standard devaition is 4.1 minutes. (a) To compute probabilities regarding the sample mean using the normal model, what size sample would be required? (b) What is the probabiloity that a random sample of n=35 oil changes results in a sample mean time less that 10 minutes? (a) Chose the required sample size below. A. The sample size needs to be less than 30. B. Any sample size could be used. C. The normal model cannot be used if the shape of the distribution is unknown D. The sample size needs to be greater than 30 (b) The probability is approximately____ (Round to four decimal places as needed)

 

13. data for the histogram 1000 2000 3000 4000 5000 A study was conducted that resulted in the following relative frequency histogram. Determine whether or not the histogram indicates that a normal distribution could be used as a model for the variable. Choose the correct answer below. A. The histogram is not bell-shaped, so a normal distribution could not be used as a model for the variable B. The histogram is not bell-shaped, so a normal distribution could be use as a model for the variable. C. The histogram is bell shaped, so a normal distribution could not be used as a model for the variable D. The histogram is bell-shaped, so a normal distribution could be used as a model for the variable.

 

14. Determine the area under the standard normal curve that lies to the left of (a) z=0.44, (b) z=1.62, (c) z=1.55, and (d) z=0.94 (a) The area to the left of z=0.44 is____ (b) The area to the left of z=1.62 is____ (c) The area to the left of z=1.55 is____ (d) The area to the left of z=0.94 is____

 

15. Determine the area under the standard normal curve that lies between (a) z=-0.18, and z=0.18, (b)z=-2.11 and z=0, (c)z=-2.29 and z=-0.74 (a) The area that lies between z= -0.18, and z=-0.74 is______ (b) The area that lies between z=-2.11, and z=0 is_____ (c) The area that lies between z=-2.29 and z=-0.74 is____ (round all to four decimal places as needed) 7. What are the two requirements for a discrete probability distribution? Choose the corect answer below. Select all that apply. A. ∑P(X0=0 B. 0

Subject Mathematics
Due By (Pacific Time) 01/23/2014 12:00 am
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