Using the Central Limit Theorem. In Exercises 5–10, use this information about the overhead reach distances of adult females: μ = 205.5 cm, σ = 8.6 cm, and overhead reach distances are
7. a. If 1 adult female is randomly selected, find the
b. If 9 adult females are randomly selected, find the probability that they have a
c. Why can the normal distribution be used in part (b), even though the
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Chapter 6 Solutions
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- For Exercises 27–30, calculate the (a) range, (b) arithmetic mean, and (c) variance, and (d) interpret the statistics.arrow_forwardSection 4.2. Probability Distributions for Discrete Random Variables Exercise 2. Determine whether or not the table is a valid probability distribution of a discrete random variable. Explain fully a. 0.25 0.50 0,35 0,10 0.30 b. 0.325 0.406 0,164 C. 26 0.27 27 28 0.18 29 0,14 0.13 Exercise 4. A discrete random variable X has the following probability distribution: 24 0.17 27 0.16 20 0,22 0.25 0,20 Compute each of the following quantities a. P(18) b. P(X> 18) c, P(X 18) d, The mean μ of X e. The variance σ2 of X f. The standard deviation σ of Xarrow_forwardUsing table 2, find the probability that an accident victim was from Connecticut and had no restraints on. Detail your answer using the lettering given, e.g., P (A or C) = ... Table 2: Relative Frequencies Table A B Restraints No Restraints C California 0.622 0.309 0.931 D Connecticut 0.042 0.026 0.069 0.664 0.336 1.000arrow_forward
- Section A: The nutritional status (actual weight expressed as a percentage of expected weight for actual height) of a sample of 7 individuals were recorded and are presented in Table A below. Table A: Nutritional Status 58.0 | 63.0 | 69.5 | 69.5 | 69.5 76.0 81.0arrow_forwardIn Exercises 13–20, determine whether the data are from a discrete or continuous data set. House Attendance The Clerk of the U.S. House of Representatives records the number of representatives present at each session.arrow_forwardIn Exercises 13–20, determine whether the data are from a discrete or continuous data set. Corvettes A shift manager records the numbers of Corvettes manufactured during each day of production.arrow_forward
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- The period of increased risk following the exposure is referred to as which of the following? Group of answer choices Latent period Hazard period Critical period Induction periodarrow_forward5 project topic ideas for final year statistics/ actuarial science studentarrow_forwardStudent: Date: Due: Mar 10, 2 Assignment: Section 2.1 Home 1. Refer to the table summarizing service times (seconds) of dinners at a fast food restaurant. How many individuals are included in the summary? Is it possible to identify the exact values of all of the original service times? Time (sec) Frequency 60-119 120-179 21 180-239 15 240-299 3 300-359 individuals are included in the summary. (Type a whole number.) Is it possible to identify the exact values of all of the original service tímes? OA. Yes. The data values in each class are spread evenly across the full length of the class. O B. No. The data values in each class could take on any value between the class limits, inclusive. C. No. The frequency distribution tells nothing about the data values that fall below the lowest class limit or above the highest class limit. D. Yes. The data values in each class are equal to the corresponding class midpoint. Relative 2. Heights of adult males are known to have a normal distribution. A…arrow_forward
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