6. The resting pulse rate, X, for a particular population of adult women is normally distributed wmean of 74 beats per minute (bpm) and a standard deviation of 6 bpm.a) Find P(66 s X s 78)b) Find the 60th percentile of women's resting heart rates.c) If a sample of four women is randomly selected, find P(X > 79).d) Suppose now that the sample size is greater than four. Will the probability P(X > 79)be greater than, less than or the same as the value found in part c)? Explain.

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Answered: men is normally distributed w mean of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a population distribution a score of x equals 28 corresponds to z equals -1.00 and a score of x - 34 corresponds to z equals - 0.50 find the mean and standard deviation for the population
Females have pulse rates that are normally distributed with a mean of 74 beats per minute and a standard deviation of 12.5 beats per minute. If 16 adult female are randomly selected, find the probability that their pulse rates are less than 70 beats per minute. Express your answer as a percent rounded to 2 decimal places.
Use the formula to find the standard error of the distribution of differences in sample means, x⎯⎯1−x⎯⎯2x¯1-x¯2.Samples of size 100 from Population 1 with mean 95 and standard deviation 10 and samples of size 80 from Population 2 with mean 76 and standard deviation 17Round your answer for the standard error to two decimal places.standard error =
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1466 and the standard deviation was 315. The test scores of four students selected at random are 1890, 1210, 2200, and 1340. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The Z-score for 1890 is. (Round to two decimal places as needed.).
Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal. For the population of healthy female adults, suppose the mean of the x distribution is about 4.78. Suppose that a female patient has taken six laboratory blood tests over the past several months and that the RBC count data sent to the patient's doctor are as follows. 4.9 4.2 4.5 4.1 4.4 4.3 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x = s = (ii) Do the given data indicate that the population mean RBC count for this patient is lower than 4.78? Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: ? < 4.78; H1: ? = 4.78H0: ? = 4.78; H1: ? ≠ 4.78 H0: ? = 4.78; H1: ? < 4.78H0: ? = 4.78; H1: ? > 4.78H0: ? > 4.78; H1: ? = 4.78 (b) What sampling…
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1544 and the standard deviation was 314.The test scores of four students selected at random are 1940, 1290, 2250,and 1420.Find the z-scores that correspond to each value and determine whether any of the values are unusual. (Round to 2 decimal places as needed.)
The two data sets in the table below are dependent random samples. The population of (x - y) differences is approximately normally distributed. A claim is made that the mean difference (x - y) is less than 29.3. X y DII For each part below, enter only a numeric value in the answer box. For example, do not type "z =" or "t=" before your answers. Round each of your answers to 3 places after the decimal point. (a) Calculate the value of the test statistic used in this test. Test statistic's value = -2.760 61 71 58 48 38 41 (b) Use your calculator to find the P-value of this test. P-value $ 4 44 48 66 43 32 30 29 33 (c) Use your calculator to find the critical value(s) used to test this claim at the 0.07 significance level. If there are two critical values, then list them both with a comma between them. Critical value(s) = -1.700 (d) What is the correct conclusion of this hypothesis test at the 0.07 significance level? O There is sufficient evidence to support the claim that the mean…
Use the formula to find the standard error of the distribution of differences in sample means, x¯1-x¯2.Samples of size 115 from Population 1 with mean 94 and standard deviation 14 and samples of size 85 from Population 2 with mean 75 and standard deviation 17Round your answer for the standard error to two decimal places.standard error = Enter your answer in accordance to the question statement
he average amount of time boys and girls spend playing sports each week is believed to be the same. A sample of equal size n is taken from boys and girls , the mean of the boys is 29 hours with standard deviation 4 hours and the mean of the girls is 27 hours with standard deviation 3 hours Both populations have a normal distribution. The calculated value is 1.2 n =
Exam scores in a large class are normally distributed with a mean of 55 and standard deviation of 10. The teacher decides to boost the scores by adding 20 points to everyone’s score. Elizabeth’s original score on the exam was 75, so her new score is 95. The z-score corresponding to her new score (relative to the other new scores) will be:

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