6.04 Let t, denote a rv having the Student (7) distribution. (a) What happens to P(t, < 2) as n increases? Explain. (b) What happens to P(t, > 0) as ŋ increases? Explain.
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- SAT math scores are normally distributed with the parameters below. μ=500σ=100 What is the probability a randomly selected score is less than 580 points What score separates the highest 15% of scores from the rest?E Homework: Homework 4.3 Given that x has a Poisson distribution with u= 0.9, what is the probability thatx=3? P(3)~ |(Round to four decimal places as needed.) Help me solve this View an example Get more helpnumber 24 only
- Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable x is normally distributed. Standardized Test Composite Scores 28633Score μ=19.7 σ=5.4 28<x<33 x A graph titled "Standardized Test Composite Scores" has a horizontal x-axis labeled "Score" from about 1 to 39 with tick marks at 6, 28, and 33. A normal curve labeled μ = 19.7 σ = 5.4 is centered above the x-axis at 19.7. Two vertical line segments extend from the curve to the x-axis at 28 and 33. The area below the curve and between the two vertical line segments is shaded and labeled 28 < x < 33. The probability that the member selected at random is from the shaded area of the graph is enter your response here. (Round to four decimal places as needed.)es point(s) possible Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 22 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.14 oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between 11.98 oz and 12.70 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.18 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.18 oz. Use a 0.05 significance level. Complete parts (a) through (d) below. b. Compute the test statistic. x²=0 (Round to three decimal places as needed.) c. Find the P-value. P-value= (Round to four decimal places as needed.) d. State the conclusion. the level of significance. There is evidence to conclude that the population Ho, because the P-value is standard deviation of…nts The level of nitrogen oxides (NOX) in the exhaust of a particular car model varies with mean 0.7 grams per mile and standard deviation 0.17 grams per mile. (a) What sample size is needed so that the standard deviation of the sampling distribution is 0.01 grams per mile? Hint You already have an equation that gives a relationship between the population standard deviation, the sampling distribution's standard deviation, and the sample size. Do a little algebra to solve that equation for the sample size. ANSWER: (b) If a larger sample is considered, the standard deviation for æ would be (NOTE: Enter "SMALLER","LARGER" or "THE SAME without the quotes.)
- Continuous distribution Accident records on a highway segment are reported in the form of times between accidents. The following record was established in days: 2, 3, 1, 3, 2, 5, 1, 2, 3, 4, 3, 1, 1, 2 and 2. Assume exponential distribution, compute the average time between accidents? What is the probability that the time between consecutive accidents would exceed 5 days?How do you graph grade curves in StatCruch (finding two bounds within grades; ex. D, C, B)??? In other words, finding two cut off scores? Reference: The mean and standard deviation of last semester’s Test 1 scores are 76.5 and 14.8 respectively. Imagine we want to define letter grades using a Normal distribution (assuming this is appropriate). One possible grade distribution could be that the lowest 10% of students earn F’s, the next 15% earn D’s, the next 50% earn C’s, the next 15% earn B’s, and the rest of the students earn A’s. Using the Normal distribution, calculate the Test 1 scores that would separate these letter grades. Your answer needs to include five Normal graphs from StatCrunch where the shaded area on each graph shows the range of scores needed to earn the specific letter grade. Hint: The graphs for A and F will only have one value as a cutoff score whereas the graphs for a B, C, and D will have two cutoff scores. Which students are happy about their curved grades? Why?…Tutorial Exercise Complete the given relative frequency distribution and compute the stated relative frequencies. (a) P({1, 3, 5}) (b) P(E') where E Step 1 Rel. Frequency 0.1 0.2 Outcome 1 (a) P({1, 3, 5}) = {1, 2, 3} 2 Outcome 1 3 2 A 0.1 0.1 We are given the incomplete relative frequency distribution. 3 LO 5 Rel. Frequency 0.1 0.2 0.1 0.1 4 5 The missing table value is the relative frequency value corresponding to the outcome 0.5 X
