75 specimens of the new chip were tested and 67 specimens of the old chip were tested. The average speed, in MHz, for the new chips was 494.9 and the standard deviation was 19.3. The average speed of the old chips was 485.8 and the standard deviation was 16.7. Suppose we wish to test Ho : Hx - Hy = 0 versus H1 : Hx - Hy # 0. Calculate the z-score. (answers are considered correct if they're within 5% of the correct value)
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- From generation to generation, the mean age when smokers first start to smoke varies. A survey of 20 smokers of this generation was done to see if the mean starting age was under 19 years old. The sample mean was 18.1 years old, with a sample standard deviation of 1.3 years. Is the data significant at α=.05%?A group of students takes the Kaplan course in hopes that it will improve their SAT scores on the math section above the national mean of 500. The population standard deviation of the SAT is known to be 100. The sample mean for the 215 students was 543.53. Calculate the observed z score for the sample.The scores of a certain population on the wechler intelligence scale for children are thought to be normally distributed, with
- A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1030 h with a standard deviation of 83 h.Find the z-scores for lightbulbs which last 840 and 890 h. (Round your answers to two decimal places.) The z-score for 840 h is -2.29; the z-score for 890 h is -1.69.Using the answers from Step 1, what percent of these light bulbs will last between 840 and 890 h? (Round your answer to one decimal place.)The data in Table 7..7 are collected in an experiment designed to investigate the impact of different positions of the mother during ultrasound on fetal heart rate. Fetal heart rate is measured by ultrasound in beats per minute. The study includes 20 women who are each assigned to one position and have the fetal heart rate measured in that position. Each woman is between 28 weeks, and 32 weeks, gestation. Is there a significant difference in mean fetal heart rates by position? Run the test at a 5% level of significance. PLEASE SHOW THE ANSWER IN EXCEL FORMAT WITH FORMULAS.Consider the following questions about CIs. A researcher tests emotional intelligence (EI) for a random sample of children selected from a population of all students who are enrolled in a school for gifted children. The researcher wants to estimate the mean EI for the entire school. The population standard deviation, mean, for EI is not known. Let’s suppose that a researcher wants to set up a 95% CI for IQ scores using the following information: The sample mean M= 130 The sample standard deviation s = 15. The sample size N = 120. The df = N – 1 = 119 What are the upper and lower limits of the CI and the width of the 95% CI if all the other values remain the same (M = 130, s =15) but you change the value of N to 16? For N = 16, lower limit = 122.41 and upper limit=137.58 width (upper limit-lower limit = 15,17 What are the upper and lowers of CI and the width of 95% CI if all the other values remain the same but you change the value of N to 25? . For N = 25, lower limit =…
- It takes an average of 9.1 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will increase if the patient is immediately told the truth about the injury. The EMT randomly selected 45 injured patients to immediately tell the truth about the injury and noticed that they averaged 9.1 minutes for their blood to begin clotting after their injury. Their standard deviation was 0.91 minutes. What can be concluded at the the αα = 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 The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer > < ≠ = H1:H1: ? μ p Select an answer = < ≠ > The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? ≤ > αα Based on this, we should Select an answer accept fail to reject reject…A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 70 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women N Mean StDev SE Mean Men Women 98% CI for mu Men - mu Women (- 12.20, - 1.00) T-Test mu Men = mu Women (vs H2 O C. Ho: H1 = H2; Ha: H1 #H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.01. What is the P-value? P-value =Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 800 grams while babies born after a gestation period of 40 weeks have a mean weight of 3000 grams and a standard deviation of 385 grams. If a 32-week gestation period baby weighs 2650 grams and a 41-week gestation period baby weighs 3150 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period? Find the corresponding z-scores. Which baby weighs relatively more? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) A. The baby born in week 41 weighs relatively more since its z-score, nothing, is smaller than the z-score of nothing for the baby born in week 32. B. The baby born in week 32 weighs relatively more since its z-score, nothing, is smaller than the z-score of nothing for the baby born in week 41. C. The…
- Ann thinks that there is a difference in quality of life between rural and urban living. She collects information from obituaries in newspapers from urban and rural towns in Idaho to see if there is a difference in life expectancy. A sample of 3 people from rural towns give a life expectancy of xr¯=79��¯=79 years with a standard deviation of sr=7.57��=7.57 years. A sample of 14 people from larger towns give xu¯=82��¯=82 years and su=5.48��=5.48 years. Does this provide evidence that people living in rural Idaho communities have different life expectancy than those in more urban communities? Use a 5% level of significance. (a) State the null and alternative hypotheses: (Type ‘‘mu_r′′‘‘��_�″ for the symbol μr�� , e.g. mu_rnot=mu_u��_����=��_� for the means are not equal, mu_r>mu_u��_�>��_� for the rural mean is larger, mu_r<mu_u��_�<��_� , for the rural mean is smaller. )H0�0 = equation editor Equation Editor Ha�� = equation editor Equation Editor (b) The degree of…Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 2700 grams and a standard deviation of 340 grams. If a 34-week gestation period baby weighs 2275 grams and a 40-week gestation period baby weighs 2475 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period?Please tell the steps to solve this problem using Ti-84 Calculator. Testing:H0:μ=25.9H1:μ<25.9Your sample consists of 38 subjects, with a mean of 25.3 and standard deviation of 1.41.Calculate the test statistic, rounded to 2 decimal places.