1. Let X be a rs from normal distribution N(0, 1). Determine whether the Q below are valid pivots. Explain wh or why not. Q₁ = 80
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A: From the provided information, Mean (µ) = 12 Standard deviation (σ) = 2
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A: Note: according to our guidelines we can answer only first three subparts
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A: Given, Let X= 4.9, 4.2, 4.5, 4.1, 4.4, 4.3
Q: Let x be a random variable that represents red blood cell (RBC) count in millions of cells per cubic…
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Q: Which one of these graphs does not represent a normal distribution?
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![1. Let X be a rs from normal distribution N(0, 1). Determine whether the Q below are valid pivots. Explain why
or why not.
Q₁=X - 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8f34df7-83ba-4346-8818-95ac2d374ac3%2F334c2aa4-8dd9-41a7-b418-c4abf970e590%2Fuoxccta_processed.jpeg&w=3840&q=75)
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- Consider a normal distribution curve where 70-th percentile is at 11 and the 30-th percentile is at 2. Use this information to find the mean, u , and the standard deviation, o , of the distribution. a) u = b) σ-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…Carboxyhemoglobin is formed when hemoglobin is exposed to carbon monoxide. Heavy smokers tend to have a high percentage of carboxyhemoglobin in their blood.t Let x be a random variable representing percentage of carboxyhemoglobin in the blood. For a person who is a regular heavy smoker, x has a distribution that is approximately normal. A random sample of n = 12 blood tests given to a heavy smoker gave the following results (percent carboxyhemoglobin in the blood). Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. 9.1 9.8 10.4 9.8 11.3 12.2 11.6 10.3 8.9 9.7 13.4 9.9 (a) Use your calculator to calculate x and s. (Round your answers to four decimal places.) X = S = (b) A long-term population mean u = 10% is considered a health risk. However, a long-term population mean above 10% is considered a…
- 1). Suppose that a normal population has mean µ and standard deviation o = 0.5. How large a sample is needed so that a 2-sided 95% confidence interval for µ has length L = 0.2643? А. 15 В. 28 С. 55 D. 220 2). Which of the following is NOT TRUE about the significance level a in hypothesis testing? A. a = 0.01 requires stronger evidence for rejecting Họ than a = 0.05. B. a is the probability or chance rejecting a true Ha(Type II error). C. We reject Ho if the p-value is less than a. D. a = 0.05 means that 95% of all such hypothesis tests correctly retains Ho. 3). A least-squares regression analysis yields the line ŷ = 10.7 – 5.6x and R² = 81%. What is the sample correlation between x and y? A. -0.81 В. +0.90 С. +0.81 D. -0.90The normal model N(58,21) describes the distribution of weights of chicken eggs in grams. Suppose that the weight of a randomly selected chicken egg has a Z-score of 1.78. What is the weight of this egg in grams? Round to the nearest hundredth of a gram.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 4.64. 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 (1) 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 4.64? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Ο Hg: μ= 4.64; H1: μ 4.64 Ο Ηρ: μ> 4.64; H1: μ = 4.64 Ho: u = 4.64; H1: u * 4.64 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O…
- Consider a normal distribution curve where 55-th percentile is at 11 and the 20-th percentile is at 8. Use this information to find the mean, u , and the standard deviation, o , of the distribution. a ) μ - b) σ-The following data are given to an economist for the purpose of economic analysis. The data refer to the length of a certain type of batteries. N= 100, Σ id= 50, Σ fd" - 1970, Σ rαs2948 and E fd“ = 86,752, in which d= (X- 48). Do you think that the distribution is platykurtic ?The noon-day temperature (in °C) in Ajax last winter can be represented by the normal distribution X~N( 6, 62). How often was it above - 3°C at noon in Ajax last winter? Make a sketch.
- Assume that IQ scores are normally distributed with μ = 100 and σ = 15 What IQ score would be needed to score in the top 2% of IQ scores?Q18. If x ~ N(100, 25) and a random sample ofx of size 16 is obtained. What is the standard deviation of the distribution of the sample mean, x? A. 1.25 B V1.25 C. 25 D. V25 = 5Let 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 4.64, Suppose that a female patient has taken six laboratory blod 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 () Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) C) Do the given data indicate that the pooulation mean RBC count for this patient is lower than 4.647 Use a- 0.05. (a) What is the level of significance? State the nul and alternate hypotheses. O Hn: 4- 4.64; H: 4.64 O Ho: H> 4.64; H:u- 4.64 O Hn: H- 4.64; H: H 4.64 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal,…
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