The table shows the time taken, in minutes, for 12 employees of a company to travel from their homes to the office. 20 22 21 21 18 18 30 20 22 23 22 20 (i) Represent the data on a dot diagram. ( Briefly describe the distribution of the data
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- The arrival rate of patients at a hospital counter follows Poisson distribution with a mean of 25 per hour. The service rate of the treatment to patients also follows Poisson distribution with a mean of 45 per hour.d) Find Ls, Lq, Ws and WqHow can engaged couples improve their chances of a happy marriage? Olthoff (1989) tested the communication quality of couples three months before and again three months after marriage. The data is for the husbands only of one random sample of 10 couples who had received ordinary (very minimal) premarital counseling from the ministers who were going to marry them. The scores are for communication quality. Test to see if the scores changed after three months of marriage. The population of difference in communication scores is normally distributed. Test at the 5% level. Before After 126 115 133 125 126 96 115 115 108 119 109 82 124 93 98 109 95 72 120 104(a) Consider a distribution or a data set with different values of mean, median and mode. Comment upon the shape of such a distribution in terms of the spread of the frequencies. What will be the relation between the mean, median and mode in such a case? Compare the shape of such a distribution with the one whose mean, median and mode are equal to each other.
- A sampling distribution of means for samples of students taking the SAT exam has a population mean of 500 and a standard error of 200. What proportion of sample means would fall between the population mean and a sample mean of 800?Describing the sampling distribution of the sample means from an infinite population The heights of male college students are normally distributed with mean of 68 inches and a standard deviation of 3 inches. If 80 samples consisting of 25 students each are drawn from the population, what would be the expected mean and standard deviation of the resulting sampling distribution of the means. With solutionA doctor in the oncology department of a hospital surveyed the breathing rateof cancer patients. The mean and standard deviation of breathing rates for agroup of patients are 12 and 2.3 breaths per minute, respectively. The proportion of the patients having breathing rates from 7.4 to 16.6 breaths per minute. Recalculate the answer of proportion if the breathing rates are distributed in a bell shaped distribution.
- The mean time to complete a task is 727 millisecond for 3rd graders and 532 milliseconds for 5th graders. The variances of the two grades are 12,000 for 3rd graders and 10,000 for 5th graders. The times for both grades are normally distributed. You randomly sample 12 3rd graders and 14 5th graders. What is the probability that the mean time of the 3rd graders will exceed the mean time of the 5th graders by 150 msec or more?TRUE OR FALSE: The mean for the distribution of sample means is always equal to the mean for the population of scores from which the samples were drawn. TRUE OR FALSE: If samples are selected from a right-skewed population of scores, and each sample containsn= 10 scores, then the distribution of sample means will be normal.The density of people per square kilometer for African countries is in table #2.2.11 ('Density of people,' 2013). Create a frequency distribution and a relative frequency distribution using 7 classes. a) Since data were collected for variable(s), the correct graph to make is a . b) Using the formula class width = (maxX - minX)/(number of classes) and rounding up to the next whole number, the class width is Complete the frequency/relative frequency table using 7 classes. Round relative frequencies to 3 decimal places.
- he average number of cavities that thirty-year-old Americans have had in their lifetimes is 8. Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 15 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 6, 10, 6, 9, 8, 7, 5, 10, 6, 8, 10, 4, 8, 4, 6 The null and alternative hypotheses would be: H0:: ? μ p Correct Select an answer = ≠ < > H1: ? μ p Correct Select an answer ≠ > = < The p-value = (Please show your answer to 4 The p-value is ? > ≤ α Interpret the p-value in the context of the study. If the population mean number of cavities for twenty-year-olds is 8 and if you survey another 15 twenty-year-olds, then there would be a 12.64547596% chance that the sample mean for these 15 twenty-year-olds would either be less than 7.13 or greater than 8.87. There is a 12.64547596% chance of a Type I error. There is a…The time it takes for a statistics professor to mark a single midterm test is normally distributed with a mean of 4.6 minutes and a standard deviation of 2.1 minutes. There are 61 students in the professor's class. What is the probability that he needs more than 5 hours to mark all of the midterm tests? Probability =Inclusions are defects in poured metal caused by contaminants. The number of (large) inclusions in cast iron follows a Poisson distribution with a rate of 1.9 per cubic millimetre. What is the volume of material to inspect such that the probability of at least one inclusion is 0.99? Please enter the answer to 2 decimal places.
