a) Match the name of the plot with its closest description Histogram Box Plot Ti
ID: 3180638 • Letter: A
Question
a) Match the name of the plot with its closest description Histogram Box Plot Time Sequence Plot Scatter Diagram Probability Plot b) Identifies relationships between 2 variables c) Determines if data conforms to a hypothesized distribution d) Used to identify trends or cycles in data e) Shows the shape of a data set's distribution Probability f) Identifies set's center, spread, symmetry, and outliers The mean salary for a population of teachers is $49.720 with a standard deviation of $7, 200. The distribution is positively skewed. Answer the following six questions to determine the probability that the salary of a random sample of 65 teachers is less than $48,000? (circle the correct answer for each part) a) The population median is _____________ the population mean. greater than equal to less than b) Is it safe to use the Normal distribution to determine this probability? Yes No c) According to the Central Limit Theorem, the mean of the sampling distribution of the mean is $48,000 $49, 720 d) The standard deviation of the sampling distribution of the sample mean is $110.77 $112.50 $893.05 $7, 200 The calculated z-score is 0.24 - 0.24 1.93 -1.93 The probability that the mean annual salary of a random sample of 65 US teachers is less than $48,000 is 0.027 0.405 0.595 0.973 For the following two questions use H_0 = no wolf is present and H_1 = wolf is actually present. A boy claiming a wolf is present by yelling "wolf! Wolf!" When no wolf is present has made what type of if the boy instead nothing the wolf is actually present, he has made what type of error?Explanation / Answer
(a) The population median is greater than the population mean
(b) Yes, it is safe to use the Normal distribution
(c)
The mean of sampling distribution is 49720
(d)
Std. dev. = 7200/sqrt(65) = 893.05
(e)
z-score = (48000 - 49720)/893.05 = -1.926
(f)
P(z<-1.926) = 0.0271
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