
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Assuming that the null hypothesis is true, the ______________ is the
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- To assess whether two data sets are derived from the same distribution—which need not be known, you can apply the test for _____________ that uses the chi-square distribution. The ________ hypothesis for this test states that the populations of the two data sets come from the same distribution. The test compares the observed values against the expected values if the two populations followed the same distribution. The test is right-tailed. Each observation or cell category must have an expected value of at least ______. Group of answer choices independence, null, four homogeneity, null, five goodness of fit, null, five variance test, alternate, fourarrow_forwardWhich of the following is not true about statistical significance? the difference is a result of random chance. the result is statistically significant when p-value is less than alpha level. The probability of a result occurring by chance is less than the alpha level. the result is statistically significant when we reject the null hypothesis.arrow_forwardIncomes in a certain town are strongly right-skewed with mean $40,000 and standard deviation $8,000. A random sample of 5 households is taken. What is the probability the average of the sample is more than $42,000?arrow_forward
- _________ If one concludes that there is NO difference between the sample mean and the population mean, then: a) an alpha error has been committed b) the null hypothesis has been rejected c)there must have been no bias in the sample d) the null hypothesis has been retainedarrow_forwardThompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 132 millimeters, and a variance of 64. If a random sample of 39 steel bolts is selected, what is the probability that the sample mean would be greater than 128.2 millimeters? Round your answer to four decimal places. Answer How to enter your answer (opens in new window) Keypad Keyboard Shortcuts Tablesarrow_forwardA clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 520 babies were born, and 286of them were girls. Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born. Based on the result, does the method appear to be effective? ________________________<p<______________________ does the method appear to be effective?arrow_forward
- Evaluate the significance of the p-value. You can think of the p-value as the probability that the null hypothesis is true. A value greater than 0.05 indicates that in more than 1 in 20 (or more than 5%) repetitions of an experiment of the same size, the observed deviation from predicted valuescould have been obtained by chance, even if the null hypothesis is actually true; the data are therefore not significant for rejecting the null hypothesis. Statisticians have arbitrarily selected the 0.05 p-value as the boundarybetween rejecting or not rejecting the null hypothesis. A p-value of less than 0.05 means that you can consider the deviation to be significant, and you can reject the null hypothesis.arrow_forwardTo construct a 95% confidence interval of variance using a sample of 18 the critical values used are __________ and _____________.arrow_forwardWhich one of the following statements is incorrect: A. A type I error consists of rejecting the null hypothesis when it is true B. A type II error consists of accepting the null hypothesis when it is false C. You can control simultaneously both the Type I and Type II error probabilities when the sample size is fixed D. Hypothesis testing and confidence intervals are related conceptsarrow_forward
- A researcher is conducting a chi-square goodness-of-fit test on a variable that has three categories. The observed frequencies are 25 for Cell A, 54 for Cell B, and 37 for Cell C. The expected frequencies are 31.56, 47.78, and 36.66 for Cells A, B, and C, respectively. What is the value of chi-square? a. 2.18 b. 1.37 c. 0.81 d. 2.53arrow_forwardYou are deciding whether to employ a z procedure or a t procedure to test hypotheses about the mean of a population using a significance level of 0.05 for a sample size of 50. Which of the following statements is correct? Question 17 options: You should not use the t procedure, because the population does not have a Normal distribution. You may use the z procedure, but only if you use the sample standard deviation. You may not use the z procedure because you know the population standard deviation. You should use the t procedure, provided you do not know the population standard deviation.arrow_forward
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