ii) What is the value of the sample size n, if P[1(X₁ - X)² > 68.3392] = 0.025? i=1
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- 1.The U.S. Geological Survey compiled historical data about Old Faithful Geyser (Yellowstone National Park) from 1870 to 1987. Let x1 be a random variable that represents the time interval (in minutes) between Old Faithful eruptions for the years 1948 to 1952. Based on 8880 observations, the sample mean interval was x1 = 63.0 minutes. Let x2 be a random variable that represents the time interval in minutes between Old Faithful eruptions for the years 1983 to 1987. Based on 25,691 observations, the sample mean time interval was x2 = 70.2 minutes. Historical data suggest that ?1 = 8.70 minutes and ?2 = 12.48 minutes. Let ?1 be the population mean of x1 and let ?2 be the population mean of x2. (a) Compute a 95% confidence interval for ?1 – ?2. (Use 2 decimal places.) lower limit upper limit (b) Comment on the meaning of the confidence interval in the context of this problem. Does the interval consist of positive numbers only? negative numbers only? a mix of positive and…Question 3 -- / 1 Increasing sample size, decreases error. T True F FalseWhen conducting a large sa (p – Po) Po(1- Po) where i for the denominator of this (A) The standard deviation (B) The standard deviation (C) The sample size is larg (D) The standard deviation (E) The standard deviation
- 1./ In a sample space P(A) = 3/4, P(B)= 1/2 P(AU B) = 2/3, P(C') = 1/3 and P(D) = 1/6. You can use everything in the Venn diagram below to answer the following questions. %3D A D. a./ Find P(AB). b./ Find P(CA) and P(ČAB). c./ Find P(C|A) and P(Cn D).If numerous samples of N = 15 are taken from a uniform distribution and a relative frequency distribution of the means is drawn, what would be the shape of the frequency distribution?11th -The variance of the sample formed by the sample averages of the samples randomly taken from a population with the condition of substitution, with a size of n=100, was found to be 0.01. What is the sample standard error value?a)0.001 B)0.014 NS)0.20 D)0.032 TO)0.10
- 28..1. The standard deviation of SAT scores is 100 points. A researcher decides to take a sample of 500 students’ scores to estimate the mean score of students in your state. What is the standard deviation of the sample mean? A) 0.2 B) 5 C) 4.47 D) 100 2. a binomial distribution with n = 10 and p = 0.2 . P(X = 5)= A) 0.34 B) 0.021 C) 0.026 D) 0.41
- Suppose it is reported that 75 % of people subscribe to a I cable or satellite television service. You decide to test this claim by randomly sampling 131 people and asking them if they subscribe to cable or satellite televsion. (Round your answer to 4 decimals when necessary) Is the distribution of the sample proportion normal? Yes, the distribution of sample proportions is normal since np(1 − p) ≥ 10 O No, the distribution of sample proportions is not normal since np(1 − p) < 10 What is the mean of the distribution of the sample proportion? H₂² op = 0.75 What is the standard deviation of the distribution of the sample proportion? X 0.0551 XQuestion 2. A simple random sample of size n = 49 is obtained from a population with mean 80 and standard deviation 14. a. Describe the sampling distribution of x. b. What is P (x >83) c. What is P(x ≤ 75.8) d. What is P (78.3 < x < 85.1)