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- Identify whether the following statements are true or false by selecting your answer from the given choices below. A: if both the first and second statements are TRUE B: if both the first and second statements are FALSE C: if the first statement is TRUE but the second statements is FALSE D: if the first statement is FALSE but the second statements is TRUE 1: All variables that are approximately normally distributed can be transformed to standard normal variables. 2: The z value corresponding to a number above the mean is always negative.Nonparametric: A small study is conducted to compare birth weight in babies born to mothers who do not smoke to those that smoke more than ½ pack/day. Is there a significant difference between birth weights due to maternal smoking status? Use the Mann-Whitney U test with a 5% level of significance. What is U1 (non-smokers)? Birth weights of infants in two groups of mothers. (Observed data) Nonsmokers Heavy Smokers (≥1/2 pack/day) 8.6 7.0 8.5 5.2 6.3 6.1 9.3 6.7 8.0 6.6 6.8 7.4 4.9 6.3It is of interest to verify that the content of coke-filled bottles is the prescribed 13 ounces. Assuming that the content is a random variable having a normal distribution Nμ,0.04, a random sample of size n=25 is taken and it is found that the sample mean is 12.9. Test the null hypothesis
- Considering that k= 4, n= 58, SSE= 84.75, and SSR= 725 fill in the ANOVA table and state the results of testing the stated Null Hypothesis below DF SS MS Significance Regression 0.455 Residual From the table F= 2.55 Total Họ. by = 0 the result of testing the Null Hypothesis isAssume a normally distributed population of resting heart rates with μ = 76 and σ = 5. Compute the z-score for a heart rate of 73. What is the probability of randomly selecting someone whose heart rate is below 73? What is the probability of randomly selecting someone whose heart rate above 79? What is the probability of randomly selecting someone whose heart rate either below 60 or above 90?Given two normal random variables: X-Normal(u=6,0-15) and Y-Normal(u=15,0=3). What can be said about the points x-21 and y=21 when plotted in a STANDARD normal distribution? [Select] [ Select] x and y both lie on the right side of the distribution x and y are equal x and y both lie on the left side of the distribution • Previous x is to the right of y Next >
- The probability that a randomly selected man from the certain age group runs slower than 4.36 mph is 0.2119. (You can check this, for practice, but it's true.) Calculate the probability the man runs between 4.36 and 6.2 mph, using this and your answer to the previous question. To help you accomplish this, consider the following three pictures of areas under the normal bell curve. This depicts the probability the man is slower than 6.2 mph. -3 This depicts the probability the man is slower than 4.36 mph. -3 -2 -2 -1 0 1 2 2 님! 3 3 FGiven the null and allernative hypotheses, sample means, sample sizes, and population standard deviations shown to the right, conduct a hypothesis HA H 20 test using an alpha luvel equal to 0.01 X, = 149 x2- 131 O1 = 11 n, = 55 He H - 20 6= 15 40 Determine the rejection region for the test statistic z. Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed) OA. z> OB. 24 or z > OC. z« Calculate the value of thn test statishC 2= (Ruund to two decimal places as nooded.) Since the lust statistic V in the rejuction region, V the null hypothusis. There is V evidence to conclude that the mearı of population 1 is less thari the mean of populalion 2.Plz help asap 46
- Given two normal random variables: X-Normal(μ-6,0-15) and Y-Normal(u=15,0-6). What can be said about the points x=3 and y=15 when plotted in a STANDARD normal distribution? [Select] [Select] x and y are equal x is to the left of y x and y both lie on the left side of the distribution x is to the right of yConsider a test of Ho : u = 4. In each of the following cases, give the rejection region, assuming that the test statistics follows a standard Normal distribution. (a) H. : u > 4, a = 0.1 (b) H. : u <4, a = 0.01 (c) Ha : 4# 4, a = 0.05T12
