Q9. A Random Variable X has an unknown distribution, a known mean of 10and an unknown variance, oʻ. To test a claim that the distribution is nolonger 10, a random sample of 100 of X was collected which gave asample mean, x of 9.8 and a sample variance, s? = 16.Working at the 5% Significance level what is the reject region?A. z<-1.96 AND z> 1.962%3DB. z>-1.96 AND z< 1.96C. z< -2.57 AND z> 2.57D. z<-1.96 OR z> 1.96О А. АО В. ВО С. СO D. D

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Answered: Q9. A Random Variable X has an unknown…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Calculate the observed z value using a sample mean of 25, a population average of 20, and a standard error of the mean of 8.
Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: 0 В. Но На > 0 Ha: Ha s0 O C. Ho: Ha = 0 Ha: Hd #0 D. Ho: Ha <0 Ha: Hd 20 O E. Ho: Hd + 0 Ha: Hd F. Ho: Hd 20 Ha: Hd = 0 <0 The test statistic is t= (Round to two decimal places as needed.)
Suppose a sample of n = 160 observations has a mean of 13.6 and a variance of 6.8. If each value in the sample is multiplied by 4 and then 20 is added, what would be the variance of the new sample values?
Answers: 2. t = .656, do not reject Ho: there is no evidence that this year's students are performing differently than students in previous years. 3. chi-square = 7.997, Do not reject H0; no evidence that the variance is significantly less than 175. chi-square = 11.250, Do not reject H0; no evidence that the variance is significantly greater than 175. 4. 3.973 to 13.5219
A middle school teacher believes that a reading rewards program results in a higher number of pages read per year after the program is completed. The teacher chooses a simple random sample of students and records the number of pages read per year before starting the program and after the program is completed. The results of the study are below What are the population parameters? Pick Before 813.25 192250.25 182875.22 After 904.95 What is the level of significance? Ex: 0.12 Mean Variance Observations Hypothesized Mean Difference 100 100 Is the two-sample hypothesis test a paired or unpaired t-test? Pick 198 t Stat P[T< t) one-tail tCitical one-tail P[T<=t) two-tail t Critical two tal Confidence Level What is the null hypothesis Ho? Pick 0.068 1.653 What is the alternative hypothesis H.? Pick 1.972 95% Should Ho be rejected or does Ho fail to be rejected? Pick What conclusion can be drawn from the data? Pick v evidence exists to support the claim that the mean number of pages read per…
A sample of 100 scores has a mean of 58, a variance of 160, and an estimated standard error of 4. Which of these values is guaranteed to increase if the sample size is decreased to 10? a. none of these is likely to be changed very much by decreasing n. b. the value of the variance c. the value of the mean d. the value of the standard error
Fresh Mart QQ's profit on each delivery is estimated by RM P, where the random variable P has mean u and variance 1.92. According to previous record, the value of u used to be 0.85. Manager suspects that this value has increased. In order to test at the 5% significance level whether the value of u has increased, a random sample of 50 delivery transaction is chosen. Assume the variance of P is unchanged. Given that Ep 59. Find the unbiased estimates of the population mean. Stating the null and alternative hypotheses, test at 5% significance level on whether the manager's suspicion is true. The alternative hypothesis for a test is stated as below: H:µ # 30 State the null hypothesis and determine whether this test is one-tail test or two- tail test hypothesis.
A score that is 2 points higher than the sample mean has a z-score of z = 0.5 and a score of X = 44 has a z-score of -1.00What is the sample mean?
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7. A study was conducted to compare the amount of salt in potato chips. Random samples of recorded. Assume the populations are normally distributed with equal variances. The 7 A study was conducted to compare the amount of salt in potato chips. Random sampies o. three varieties were obtained and the amount of salt in each 1-Oz portion of potato chp recorded. Assume the populations are normally distributed with equal variances. results are given here: BBQ Cheese- Amount of salt (in mg of sodium) 338, 159, 240, 190 235, 251, 233, 255, 260 Variety flavored Olestra-based 164, 150, 149, 170 a) Identify the explanatory variable. b) Identify the response variable. c) State the appropriate hypotheses to test for a difference in means. d) The appropriate analysis to test for a difference in means would be: a. One-way ANOVA b. Two-way ANOVA c. Three-way ANOVA d. Two-Sample t-test
Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: 0 Ha: Hd s0 E. Ho: Ha 0 F. Ho: Ha 20 Ha: Ha <0 The test statistic is t= 1.94 . (Round to two decimal places as needed.) The critical value(s) is(are) to (Round to two decimal places as needed. Use a comma to separate answers as needed.)

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