A random sample of 10 observations was drawn from a large normally distributed population. The data isbelow.14 23 22 14 19 17 21 18 15 24Test to determine if we can infer at the 10% significance level that the population mean is not equal to 19, filling inthe requested information below.A. The value of the standardized test statistic:Note: For the next part, your answer should use interval notation. An answer of the form (-o, a) is expressed (-infty, a), an answer of the form (b, oo) is expressed (b, infty), and an answer of the form (-00, a) U (b, o0) isexpressed (-infty, a)U(b, infty).B. The rejection region for the standardized test statistic:C. The p-value isD. Your decision for the hypothesis test:O A. Do Not Reject Hị.B. Reject Ho.OC. Reject H1.D. Do Not Reject Ho.

Given data : 14, 14, 15, 17, 18, 19, 21, 22, 23, 24

Answered: 14 23 22 14 19 17 21 18 15 24 Test to…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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(a) Determine the values of the sample mean and sample median. Hint: x, 18.49. Explain why they are different. = Recall that the sample mean, x, is the arithmetic average of the n observations in the study, X₁, X2... Xn- The sample mean is calculated by the following equation. X₁ + X₂ + + Xn n The given data is shown below. X = x X = n 0.19 1.42 18.49 = 1.69 n 0.22 0.25 0.31 0.34 0.40 0.54 0.57 There are n= data values for the study. We are given the hint thatx, 18.49, which can be verified by finding the sum of all data values. Substitute these values into the formula to calculate the sample mean, rounding to three decimal places. 1.83 2.19 2.24 3.06 3.24 3
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In a poll of 1500 adults in July 2010, 780 of those polled said that schools should ban sugary snacks and soft drinks. Complete parts a and b below. 1. Find the value of the test statistic z. z = _____ (Round to two decimal places as needed.) 2. Find the value of the corresponding p-value for this test statistic z. p-value = _____ (Round to three decimal places as needed.) 3. Do you reject or not reject the null hypothesis? 4. b. Choose the best interpretation of the results you obtained in part a.
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Kindergarten students were participants in a study investigating fine motor skills of 37 children. The children had their fine motor skills measured before the study (a combination of hand use, eye-hand coordination, and manual dexterity) and again after undergoing 7 months of occupational therapy. With the instrument used, high scores indicated stronger fine motor skills. Summary statistics are given below: Difference n Sample Diff Std. Err. Min Max d = Pre - Post 37 -7.8109 2.0715 -36 9 Determine what positive and negative differences mean regarding a student's fine motor skills. Pay attention to the order of subtraction in the output. A positive difference means the Select an answer post-test pre-test score was greater than the Select an answer post-test pre-test , implying fine motor skills were Select an answer weakened strengthened over the 7 months. A negative difference means the Select an answer post-test pre-test score was greater than the Select an answer…
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Lecture(10.8): The Peabody Picture Vocabulary Test has a standard score mean of 100 and a standard deviation of 15. You tested a class of grade 2 students wonderinf if these scores would be different from the population. After testing this hypotheses you decided to continue looking at this data to determine if there are any group differences based on birth order. You group the children the on whether they are the oldest chlid, middle child, or the youngest child. Here is the data based on grouped information. Oldest child: 87 84 98 104 106 91 96 92 Middle child: 65 74 62 60 73 64 71 78 Youngest child: 115 84 85 83 95 94 108 102 89 Test the hypotheses at (alpha=0.05) level of signifance using the 5 step procedure.Make sure to clearly state the null and alternative hypotheses.Round your answer to 2 decimal. You are encouraged to use the following table to help you…

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