MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Section 5.4 (please help with TI-84 calculator if possible) The lengths of lumber a machine cuts are normally distributed with a a mean of a 104 inches and a standard deviation of 0.5 inch. (A) what is the probability that a randomly selected board cut by the machine has a length greater than 104.23 inches? (B) A sample of 40 boards is randomly selected. What is the probability that their mean length is greater than 104.23 inches? (A) The probability is ________ (B) The probability is________ (Round to 4 decimal places as needed)arrow_forwardRandom samples of a Gaussian distribution will fall within two standard deviations of the mean with a probability which is approximately 68%. True or Falsearrow_forwardWhat are the predictor variables in general and what we can observe in general—normal distribution, skewed in any plot or grapharrow_forward
- Does playing Mozart for unborn babies result in having children with higher IQs? A psychologist obtains a random sample of 30 mothers in the first trimester of their pregnancy. The mothers are asked to play Mozart in the house at least 45 minutes each day until they give birth. We know that IQs are normally distributed with a mean of 100. A few years after their births the children were given an IQ test and the IQs of the 30 children in the study resulted in a sample mean of 104.2. Assume the population standard deviation for IQ of children is 15. Is there evidence that the children who listen to Mozart for at least 45 minutes each day during pregnancy have higher IQs at the 0.05 level of significance? Use the p-value approach. a. Define the parameter we are testing and setup a hypothesis test to see if the mean IQ of children who listened to Mozart at least 45 minutes a day during pregnancy is higher than the national mean of 100: b. Calculate the test statistics for this…arrow_forwardWhat does it mean to say that the graph of the normal distribution is symmetric?arrow_forwardDoes playing Mozart for unborn babies result in having children with higher IQs? A psychologist obtains a random sample of 30 mothers in the first trimester of their pregnancy. The mothers are asked to play Mozart in the house at least 45 minutes each day until they give birth. We know that IQs are normally distributed with a mean of 100. A few years after their births the children were given an IQ test and the IQs of the 30 children in the study resulted in a sample mean of 104.2. Assume the population standard deviation for IQ of children is 15. Is there evidence that the children who listen to Mozart for at least 45 minutes each day during pregnancy have higher IQs at the 0.05 level of significance? Use the p-value approach. Select the correct conclusion for this test: We fail to reject the null hypothesis because the p-value is less than the level of significance. We fail to reject the null hypothesis because the p-value is greater than the level of significance. We…arrow_forward
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