### Probability Calculation from a Sample**Scenario:**A sample of 125 is drawn from a population with a proportion equal to 0.42 and a population size of 400.**Tasks:**1. **Determine the probability of observing between 50 and 54 successes.** - **The probability is:** [Input Box] (Round to four decimal places as needed)2. **Determine the probability of observing between 55 and 62 successes.** - **The probability is:** [Input Box] (Round to four decimal places as needed)3. **Determine the probability of observing between 53 and 70 successes.** - **The probability is:** [Input Box] (Round to four decimal places as needed)**Instructions:**- Use the information provided to calculate the probabilities as requested.- Ensure that your answers are rounded to four decimal places.### Explanation:- The calculations will likely involve the use of statistical formulas or software tools to determine probabilities based on binomial or normal approximation methods.- This exercise is useful for students learning about probability distributions and sampling techniques.

Answered: Image /qna-images/answer/63fe07c8-3739-4bac-ba95-20f23e4f7e70.jpg

Answered: A sample of 125 is drawn from a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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2.Direction: Classify the random variables as DISCRETE OR CONTINUOUS. 1. The number of votes favoring a candidate. 2. The average amount of electricity consumed per household per month. 3. The number of dropout in SWA for a period of 5 years. 4. The amount of paint utilized in building a project. 5. The speed of a car. 6. Number of tourist each year in a museum. 7. Height of Eiffel Tower in Paris. 8. Number of people who play LOTTO each day. 9. Percentage of the population of Kalinga. 10. Frequency of radio station.
Using 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 1.000
a.) The probability that the sample mean weight of this sample of 20 is greater than 9.75 is _____? b.) The probability that the sample mean weight of this sample of 20 is between 9.75 and 9.89 is ____? c.) There is only a 5% chance that the average weight of a sample of these 20 cheese wedges will be below _____ (answer the blanks)
When pick the correct answer please pick one of the A, B, C answers below.
Complete parts (a) through (e) for the population data below. 2, 4, 6 d. For each of the possible sample sizes, find the probability that the sample mean will equal the population mean. n Probability 1 1 3 2 3 3 1 (Type integers or simplified fractions.) e. For each of the possible sample sizes, find the probability that the sampling error made in estimating the population mean by the sample mean will be 0.5 or less (in magnitude), that is, that the absolute value of the difference between the sample mean and the population mean is at most 0.5. n 1 2 3 Probability (Type integers or simplified fractions.)
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Using the data attached, compute x-bar: 1. Define the random variable x-bar in words 2. state the estimated distribution to use. Use both words and symbols.
STATISTICAL ANALYSIS (No long explanation needed. Rate will be given and write the complete solutions.) Choose the correct answerfor each question. a. H0: p = 0.4, H1: p > 0.4 b. 0.2974 c. 0 probability d. H0: p = 0.4, H1: p ≠ 0.4 e. 0.1318 f. 0.08535 g. Yes, increasing the sample size will increase the probability of committing type I error h. Yes, increasing the sample size will decrease the probability of committing type I error
Choose from the choices and show the solution.
Express the alternative hypothesis in symbolic form. An automobile technician claims that the mean amount of time (in hours) per domestic car repair is more than that of foreign cars. Assume that two samples are independent. Let the domestic car repair times be the first population and the foreign car repair times be the second population. O A. H H1 = H2 O B. H 1 42. O C. H H1 #P2 O D. H: P1

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