Use flat random numbers to estimate л.
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- A large online retailer places packed and ready-to-be-shipped boxes in a line on a conveyor belt. A sample of boxes will be used to estimate the mean weight of boxes shipped on a given day. One proposed method for selecting the sample is as follows: ⚫ Generate a random integer from 1 to 20. . Use that integer to select an initial box from the first 20 boxes in line on the conveyor belt. • Select every 25th box that follows the initial box on the conveyor belt for the rest of the day. Which of the following best describes the proposed sampling method? (A) Stratified random sample, stratified by time of day (B) Cluster sample, with times of day as clusters (C) Cluster sample, with box weights as clusters (D) Systematic random sample (E) Convenience samplea already solved solve b and c,thanks!Suppose that the diameter of meter shafts in a lot have a mean of 0.249 inches and standard deviation of 0.03 inches. The inner diameter of bearings in another lot have a mean of 0.255 inches and standard deviation of 0.002 inches.a) Find the mean and standard deviation of clearances between shafts and bearings selected from these lots.b) If a shaft and bearings are selected at random, find the probability that the shaft will not fit inside the bearings. Assume that both dimensions are normally distributed.
- The mean incubation time for a type of fertilized egg kept at 100.6°F is 21 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 2 days. a) What is the probability that a randomly selected fertilized egg hatches in less than 17 days? b) What is the probability that a randomly selected fertilized egg hatches between 19 and 21 days? c) What is the probability that a randomly selected fertilized egg takes over 25 days to hatch? Click to view page 1 of the standard normal table. Click to view page 2 of the standard normal table.If you take a simple random sample of size n from a normally distributed population distribution, how does the quantity (insert picture here) behave? Give the name of the distribution and any parameters needed to describe it.Suppose that the IQs of university A's students can be described by a normal model with mean 140 and standard deviation 6 points. Also suppose that IQs of students from university B can be described by a normal model with mean 130 and standard deviation 11. a) Select a student at random from university A. Find the probability that the student's IQ is at least 135 points. The probability is ? (Round to three decimal places as needed.) b) Select a student at random from each school. Find the probability that the university A student's IQ is at least 5 points higher than the university B student's IQ. The probability is ? (Round to three decimal places as needed.) c) Select 3 university B students at random. Find the probability that this group's average IQ is at least 140 points. The probability is ? (Round to three decimal places as needed.)
- Can you help me with the code for how to do this in R please? 1. The study "Digital Footprints" ([Pew Internet and American Life Project]("Digital Footprints" (Pew Internet and American Life Project)) reported that 47\% of Internet users have searched for information about themselves online. The 47\% figure was based on a random sample of Internet users. Suppose that the sample size was `n = 400`. i) Use this information to estimate the true proportion of Internet users who searched information about themselves using a default 95\% confidence interval. ii) Repeat (i) but instead use a 98\% Confidence Level. Use function `prop.test()`. iii) What is the main difference between the intervals computed in (i) and (ii)? What do you think is the role of the confidence level in determining the precision of the confidence interval estimate?The length of time to discharge a certain Motolite car batteries are normally distributed. It is found that fifteen percent of batteries will last less than thirty hours and ten percent of batteries last more than fifty hours. a) Find the mean of the length of time to discharge the battery. b) Find the standard deviation of the length of time to discharge the battery.A chi-square test is conducted to determine if a standard 6-sided die is weighted. If the die is to be randomly tossed 400 times, how many times would you expect the number 1 to show on the die?
- There are two car battery producers, such as A and B. The mean lifetimes of batteries are 1424 and 1624days from the producers of A and B, respectively. The standard deviations of the batteries from both manufacturers are 200 and 100 days for A and B, respectively. Random samples of 120 batteries from each company are selected for the test.a) Please find the probability for the Brand A batteries that the average lifetime is at most 960 days.b) Find the probability for the Brand A batteries that the average lifetime is 150 days more than the batteries from Brand B.SAT scores in one state is normally distributed with a mean of 1487 and a standard deviation of 104. Suppose we randomly pick 59 SAT scores from that state. a) Find the probability that one of the scores in the sample is greater than 1480.The diastolic BP in a certain population has a mean of 70 mm Hg and a standard deviation of 10 mm Hg. Suppose that a random sample of size 64 is taken from this population and the diastolic BP is measured. A) determine the sample mean and sample standard deviation of 64 measured values. B) find the probability that the mean diastolic blood pressure of 64 people in the sample is less than 73 mm Hg
