4 coins were tossed 160 times and the following results were obtained :1No. of heads23454Observed frequenciesUnder the assumption that coins are balanced, find the expected frequencies of getting 0, 1, 2,3 or 4 heads and test the goodness of fit.17523188A.

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Answered: 4 coins were tossed 160 times and the…

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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* Q1) b- for the following data, (19, 32, 26, 71, 88, 45, 59), the Harmonic Mean (H) is 37.4406 O 37.6044 O 37.4064 O 37.0644 O none of all above o Q1) c The probability of twice withdraw the same ball from a box contains 25 sile is and 9 balls are black is
6.3.10 Question Help ▼ Three randomly selected households are surveyed. The numbers of people in the households are 1, 4, and 10. Assume that samples of size n =2 are randomly selected with replacement from the population of 1, 4, and 10. Construct a probability distribution table that describes the sampling distribution of the proportion of odd numbers when samples of sizes n = 2 are randomly selected. Does the mean of the sample proportions equal the proportion of odd numbers in the population? Do the sample proportions targe the value of the population proportion? Does the sample proportion make a good estimator of the population proportion? Listed below are the nine possible samples. 1,1 1,4 1,10 4,1 4,4 4,10 10,1 10,4 10,10 2 Construct the probability distribution table. Sample Proportion Probability (Type an integer or fraction.)
5.3 A bent coin, with heads probability .2, is tossed 13 times. Let X be the number of heads in the 13 tosses. Find (a) P(X =5), and (b) P(X = 12).
Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 12. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 12. The value of the mean is u= 9 peas. (Type an integer or a decimal. Do not round.) The value of the standard deviation is σ = 1.5 peas. (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of peas or fewer are significantly low. (Round to one decimal place as needed.)
30.
Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.25 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 40. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 40. The value of the mean is u = peas. (Type an integer or a decimal. Do not round.) The value of the standard deviation is o =| peas. (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of peas or fewer are significantly low. (Round to one decimal place as needed.) Values of peas or greater are significantly high. (Round to one decimal place as needed.) c. Is a result of 2 peas with green pods a result that is significantly low? Why or why not? The result significantly low, because 2 peas with green pods is peas.…
70 randomly selected students were asked how many siblings were in their family. Let X represent the number of pairs of siblings in the student's family. The results are as follows: # of Siblings 0 1 2 3 4 5Frequency 8 13 17 12 11 9 Round all your answers to 4 decimal places where possible. The mean is: The median is: The sample standard deviation is:
26
Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 38. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 38.
You want to see if it makes a difference which lane to be in when there is traffic. You randomly observe 372 cars as they pass by on the four lane freeway. The results are displayed in the table below. Use a level of significance of a = 0.01. a. Complete the rest of the table by filling in the expected frequencies: of Cars in Each Lane Frequency Outcome Frequency Expected Frequency Lane 1 89 Lane 2 98 Lane 3 92 Lane 4 93 b. What is the correct statistical test to use? Select an answer Y C. What are the null and alternative hypotheses? Ho: OThe distribution of traffic is not uniform. O The traffic and lanes are independent. O The distribution of traffic is uniform. KO The traffic and lanes are dependent. Hi : OThe distribution of traffic is uniform. OThe traffic and lanes are independent. O The traffic and lanes are dependent. O The distribution of traffic is not uniform.
Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 10. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 10. The value of the mean is µ = peas. (Type an integer or a decimal. Do not round.) The value of the standard deviation is o = рeas. (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of peas or fewer are significantly low. (Round to one decimal place as needed.) Values of peas or greater are significantly high. (Round to one decimal place as needed.) c. Is a result of 4 peas with green pods a result that is significantly low? Why or why not? The result significantly low, because 4 peas with green pods is рeas.…
Given the 4 categories and distribution, apply the Goodness-of-fit test for the claim that the 4 categories occur with the following distribution: Но : РА — 0.1;B рв 3 0.25;B рс — 0.4;B pp — 0.25 Observed Expected Category Frequency Frequency A 33 B 18 C 45 D 25 a. Complete the table for the expected frequencies. b. What is the chi-square test statistic for this data? Round to three decimal places. x? = c. What is the p-value? Round to four decimal places. p-value =

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4 coins were tossed 160 times and the following results were obtained : No. of heads 1 2 3 4 54 Observed frequencies Under the assumption that coins are balanced, find the expected frequencies of getting 0, 1, 2, B or 4 heads and test the goodness of fit. 17 52 31