MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- The mean yield of corn in the United States is about 120 bushels per acre. A survey of 40 farmers this year gives a sample mean of 123.8 bushels per acre. We want to know whether this is good evidence that the national mean this year is not 120 bushels per acre. Assume that the farmers surveyed are an SRS from the population of all commercial corn growers and that the standard deviation of the yield in this population is sigma = 10 bushels per acre. Is there enough evidence from the sample to suggest that the population mean is not 120 bushels per acre? Answer: p-value = 0.0162arrow_forwardIn a random sample of 7 cell phones, the mean full retail price was $512.60 and the standard deviation was $186.00. Further research suggests that the population mean is $431.12. Does the t-value for the original sample fall between −t0.99 and t0.99? Assume that the population of full retail prices for cell phones is normally distributed. The t-value of t=? Does or does it not fall between −t0.99 and t0.99 because t0.99 =?arrow_forwardIn a sample of 14 randomly selected high school seniors, the mean score on a standardized test was 1197 and the standard deviation was 166.9. Further research suggests that the population mean score on this test for high school seniors is 1018. Does the t-value for the original sample fall between -to.95 and to.95? Assume that the population of test scores for high school seniors is normally distributed. fall between -to.95 and to.95 because to.95 = The t-value of t= (Round to two decimal places as needed.) Carrow_forward
- In a random sample of 10 cell phones, the mean full retail price was $507.20 and the standard deviation was $194.00. Further research suggests that the population mean is $426.53. Does the t-value for the original sample fall between −t0.95 and t0.95? Assume that the population of full retail prices for cell phones is normally distributed. The t-value of t=enter your response here ▼ fall between −t0.95 and t0.95 because t0.95=enter your response here. (Round to two decimal places as needed.)arrow_forwardIn a random sample of 7 cell phones, the mean full retail price was $548.40 and the standard deviation was $188.00. Further research suggests that the population mean is $432.18. Does the t-value for the original sample fall between - to 95 and t, 95? Assume that the population of full retail prices for cell phones is normally distributed. The t-value of t= (Round to two decimal places as needed.) fall between - to 95 and to 95 because to 95 tentsarrow_forwardHelp!!arrow_forward
- The mean lifetime of a certain brand of AAA battery is 120 hours with a standard deviation of 15 hours. If the Z-score of a battery is -0.6, how long did the battery last?arrow_forwardIn a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 30 scores from all of the students who took the test. She sees that the mean score is 169 with a standard deviation of 7.0674. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 13. Is there evidence that the standard deviation of test scores has decreased at the α=0.005 level? Assume the population is normally distributed. Step 4: Make a decision. Is it reject Null hypothesis or Fail to reject Null hypothesis? Step 5: What is the conclusion? Is there sufficient evidence or there is not sufficient evidence to show that the standard deviation of the test scores has decreased?arrow_forwardAdult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score of man who is 72.2 inches tall. (to 4 decimal places)arrow_forward
- to qualify for membership in a certain high-IQ society a person must score in the upper 2% of the population on an IQ test. the minimum IQ score to be in the upper 2% is a 140.5 if Iq scores are normanlly distributed with a standrd deviation of 10, what is the mean IQ score?arrow_forwardThe sample mean of depression scores of 16 fifth graders was 4.4 with standard deviation of 8. If the population mean of this depression score is 6, what is the calculated t score for this sample?arrow_forwardIn a random sample of 8 cell phones, the mean full retail price was $549.30 and the standard deviation was $182.00. Further research suggests that the population mean is $425.14. Does the t-value for the original sample fall between - to 95 and to 95? Assume that the population of full retail prices for cell phones is normally distributed. The t-value of t = fall between - to 95 and to 95 because to 95 (Round to two decima d.) does not doesarrow_forward
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