In a job fair, 3000 applicants applied for a job. Their mean age was found to be 28 with a standard deviation of 4 years. A.) draw a normal curve distribution showing the z scores and raw scores. B.) Find the age such that 75% are below it. (Normal curve in letter A is the normal curve for letter B).
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- Which statement below is correct? a. Standard deviation should be used when calculating z for a single score, while standard error should be used when calculating z for a sample mean. b. When calculating z for a single score or for a sample mean, the standard error should be used. c. Standard error should be used when calculating z for a single score, while standard deviation should be used when calculating z for a sample mean. d. When calculating z for a single score or for a sample mean, the standard deviation should be used.Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 72.6 Mbps. The complete list of 50 data speeds has a mean of x=18.29 Mbps and a standard deviation of s=19.75 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? Question content area bottom Part 1 a. The difference is 54.3154.31 Mbps. (Type an integer or a decimal. Do not round.) Part 2 b. The difference is enter your response here standard deviations. (Round to two decimal places as needed.)Consider the data from the Anthropology 105 class. The mean for women is 64.33 in and the standard deviation is 2.64 in. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?
- Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 72.5 Mbps. The complete list of 50 data speeds has a mean of x=18.25 Mbps and a standard deviation of s=17.86 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?Given the following scores of students in a test: 5,7,11,12,13,18 a) add 8 to each score then find the standard deviation. b) multiply each score by 7 then find the standard deviationConsider the following data set. You may assume that the mean of this data set is x¯ = 7. 8 10 3 5 7 5 11 a) Find the range of the data set. b) Find the standard deviation of the data set. c) How many of the seven data points lie within one standard deviation of the mean?
- The board of examiners that administers the real estate broker’s examination in a certain state found that the mean score on the test was 450 and the standard deviation was 50. If the board wants to set the passing scores so that only the top 5% of all applicants pass, what should the passing score be? Assume that the scores are normally distributed.The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 494 and the standard deviation was 72. If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score? Assume that the scores are normally distributed. Round to the nearest whole number.Solve the following by concept of normal distribution and graph clearly. Show your complete solution and write clearly and readable. Thank you. In a job fair, 3000 applicants applied for a job. Their mean age was found to be 28 with a standard deviation of 4 years. A.) draw a normal curve distribution showing the z scores and raw scores. B.) Find the age such that 75% are below it. (Normal curve in letter A is the normal curve for letter B).
- Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 71.7 Mbps. The complete list of 50 data speeds has a mean of x = 15.45 Mbps and a standard deviation of s = 21.16 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to az score. d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? a. The difference is Mbps. (Type an integer or a decimal. Do not round.)A set of final examination grades in an introductory statistics course was found to be normally distributed with a mean of 73 and a standard deviation of 8. Calculate: a.the percentage of students scored between 75 and 90 ( using Rstudio) b.the test score higher than what grade if only 5% of the students taking the test (manually and using R studio)