4. obtain follows Poobability of each class os $(zim)-$(zi) For last class 1-(zi)
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- The manufacturer of large liquid crystal display (LCD) is difficult. Some defectsare minor and can be removed; others are unremovable. The number of unremovabledefects for each of n = 45 displays1 0 5 3 0 7 6 0 0 4 6 85 0 9 1 0 8 6 0 3 2 0 00 6 0 10 0 6 0 0 1 0 0 00 1 5 1 0 5 0 0 2has mean ̅ x= 2.667 and s = 3.057 unremovable defects. Conduct a test of hypothesis withthe intent of showing that the mean number of unremovable defects is less than 3.6. Take α= 0.025.Which of the following is NOT a condition that ALWAYS has to be satisfied to apply the Central Limit Theorem to the sample mean? a) The sample size must be larger than 30 b) There are no obvious outliers in the sample if the sample size is less than 30 c) There are no extreme outliers in the sample if the sample size is at least 30. d) The sample observations are independent.Which of the following are specified by the central limit theorem? a. the mean of a specific sample from the distribution of sample means b. the mean of the distribution of sample means c. the shape of the distribution of sample means d. the variability for the distribution of sample means
- The target fill weight for a box of cereal is 350 g. Each day a sample of 300 boxes is taken, and the number that are underweight is counted. The number of underweight boxes for each of the last 25 days is as follows: 23121919201921272623262225 303022252729353943413929 a) Compute the upper and lower 3σ limits for a p chart. b) Is the process in control? If not, when is it first detected to be out of control?they take samples of 4 fireworks for quality co from and examine them for defects. let X be the number of defective fireworks in the sample of 4.Which of the following statements about the Central Limit Theorem (CLT) is correct?1. The CLT states that the sample mean is always equal to the population mean.2. The CLT states that the sampling distribution of the sample mean is approximately normal for large sample sizes (n > 30).3. The CLT states that the sample mean is equal to the population mean, provided that n > 30.4. The CLT states that the sampling distribution of the population mean is approximately normal, provided that n > 30. In a distribution plot, if the mean is equal to the median, is the possible shape of the distribution skewed to the right, skewed to the left, or symmetric? If batteries have lives that are normally distribute with mean 2, 800 hours and standard deviation 400 hours, using the 68-95-99.7 rule to approximate the percentage of batteries having a life less than 3, 600 hours.
- A crazy statistics tutor only passes 10% of students in a university subject, by examining all students in foreign languages that they do not know. If 20 students are randomly assigned to this tutor, what is the probability that at most 1 student passes in the tutorial group? A) 0.392 B) 0.270 C) 0.0 because their mark is a continuous rendom veritable D)0.122The central limit theorem tells us (select all that apply ) - that the population of a sample means an be regarded as normal no matter what the sample size is - that as long as the sample size is greater than 30, the parent population can be assumed about normal -that as long as the sample size is greater than 30, the distribution of the sample means is about normal -that no matter what the parent population looks like the distribution of the sample means can be assumed to be normalSuppose that n observations are chosen at random from a continuous pdf fY(y). What is the probability that the last observation recorded will be the smallest number in the sample? I asked this question earlier today, but didn't quite understand all of the response. P(y1<=yn)p(y2<=yn) and so on was used, but shouldn't the yn be listed first in the inequality since we want to know if yn is the smallest?
- Consider a birth and death process, X = {X(t)} : t ≥ 0 with the 4 states, S = {0, 1, 2, 3} and instant rates per hour are specified implicitly as follows: 1 /λk = 10 minutes for (0 ≤ k ≤ 2) and 1/ µk = 30 minutes for (1 ≤ k ≤ 3) Assume that λk = 0 for k ≥ 3 and µk = 0 for k > 3. a) Derive the limiting distribution, lim t→ ∞ P [X(t) = k] for all k b) Evaluate expectations in minutes for departure times, E [S1 |X(0) = 0] and E [S3 |X(0) = 3]Suppose an interval has frequency f . If the class interval with the lowest value is at the lowest row, then _________ is the sum of frequency f and all frequencies below it. greater than cumulative frequency Relative frequency less than cumulative frequency class markAccording to the Central Limit Theorem, the distribution of sample means is NOT normal if _________________. A) The population from which the samples are selected is not normally distributed and the sample size is small (n < 30). B) The population from which the samples are selected is not normally distributed and the sample size is large (n >= 30). C) The population from which the samples are selected is normally distributed and the sample size is small (n < 30). D) The population from which the samples are selected is normally distributed and the sample size is large (n >= 30).