Short Answer. Supply the correct answer.1. In a sampling distribution, as the sample size increases the samplingdistribution of the mean approaches the2. In a sampling distribution, if the parent population is normal, then thedistribution.is normally distributed for all sample sizes.3. If the parent population is nonnormal, then the Mean is approximatelynormal only forvalues of n (sample size)._4. If the population is extremely nonnormal, the sampling distribution willeven for moderately large values of n.also be5. In many practical situations, a sample size oflarge to allow us to use the normal distribution as an approximation forthe sampling distribution of the Mean.may be sufficientlyApplicationThe time it takes a group of Grade 11 students to complete the Final Exam inStatistics and Probability is known to be normally distributed. The mean is 58minutes and the standard deviation is 4 minutes.(a) What is the probability that a randomly selected student will complete theexamination in less than 54 minutes?(b) If 5 randomly selected students take the exam, what is the probability that themean time it takes the group to finish will be less than 54?

As per central limit theorem, the z score formula of sample means is given by…

Answered: Short Answer. Supply the correct…

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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I need help with this question please help me with all the steps.
Calculate the P value as well. Thanks
The average final exam score for the statistics course is 79%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 13 randomly selected students who were glven the colored pens are shown below. Assume that the distribution of the population is normal. 87, 58, 66, 70, 71, 72, 90, 83, 60, 63, 70, 89, 60 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Hạ: [pv|V| = H: [uvv # C. The test statistic t v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is
The average final exam score for the statistics course is 75%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 13 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 75, 70, 86, 92, 71, 82, 89, 74, 90, 64, 89, 80, 71 What can be concluded at the the a 0.05 level of significance level of signtficance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?vSelect an answerv H1: ?vSelect an answerv C. The test statistic ?v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ?v a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly different from 75 at…
The "Freshman 15" refers to the belief that college students gain 15 lb (or 6.8 kg) during their freshman year. Listed in the accompanying table are weights (kg) of randomly selected male college freshmen. The weights were measured in September and later in April. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Complete parts (a) through (c). September 68 71 57 81 68 56 65 64 71 April 64 69 58 82 69 58 68 68 77 a. Use a 0.05 significance level to test the claim that for the population of freshman male college students, the weights in September are less than the weights in the following April. In this example, Hd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the April weight minus the September weight. What are the null and alternative hypotheses for the hypothesis test? Ho Hd = 0 kg 0 kg H₁…
I need number 5
The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 51, 86, 77, 86, 66, 59, 66, 76, 55, 59, 57, 80 What can be concluded at the α = 0.10 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion H0:H0: ? μ p Select an answer = ≠ > < H1:H1: ? p μ Select an answer = > < ≠ The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
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Suppose you work in the personnel department of a firm that just finished training a group of its employees and you have been requested to review the performance of the trainees on their final examination. The mean and standard deviation of the test scores are 80 and 5. Additional information indicated that the median of the test scores was 75. What type of distribution most likely describes the shape of the test scores? Skewed left Symmetric O There is not enough information to answer this question. O Skewed right
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