= 10 and standard deviation 2.0, find If X is a normal with mean P(x > 13.0 ) = P( 11 < X< 14 ) = %3D a. b. 2.
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- IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. (a) Find the z-score for an IQ of 119, rounded to three decimal places. (b) Find the probability that the person has an IQ greater than 119. (c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z- score. Use your z-score from part (a), rounded to one decimal place). Shade: Left of a value . Click and drag the arrows to adjust the values. -4 -2 -1 2 3 4 -1.5 (d) MENSA is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the MENSA organization.IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = 1Q of an individual. (a) Find the z-score for an IQ of 97, rounded to three decimal places. (b) Find the probability that the person has an IQ greater than 97. (c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z- Score. Use your z-score from part (a), rounded to one decimal place). Shade: Left of a value Click and drag the arrows to adjust the values. -1 3 4 -1.5 (d) MENSA is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the MENSA organization. (e) Sketch the graph, and write the probability statement. BIUX, x' C 次四 Edit. Insert - Formats - Σ ΣΗAn ANOVA produces an F-ratio with df = 1.34. Could the data have been analyzed with a t test? What would be the degrees of freedom for the t statistic?
- A population of values has a normal distribution with μ=52μ=52 and σ=63.4σ=63.4. You intend to draw a random sample of size n=15n=15.What is the mean of the distribution of sample means?μ¯x=μx¯= What is the standard deviation of the distribution of sample means?(Report answer accurate to 2 decimal places.)σ¯x=σx¯=Emissions of sulfur dioxide set off chemical changes in the atmosphere that result in "acid rain." The acidity of liquids is measured by pH on a scale of 0 to 14. Distilled water has pH 7.0, and lower pH values indicate acidity. Normal rain is somewhat acidic, so acid rain is sometimes defined as rainfall with a pH below 5.0. Suppose the pH of rain at one location varies among rainy days according to a Normal distribution with mean 5.30 and standard deviation 0.43. What proportion of rainy days have rainfall with pH below 5.0?A population of values has a normal distribution with μ=216.7μ=216.7 and σ=12.4σ=12.4. You intend to draw a random sample of size n=186n=186.What is the mean of the distribution of sample means?μ¯x=μx¯= What is the standard deviation of the distribution of sample means?(Report answer accurate to 2 decimal places.)σ¯x=σx¯=
- Suppose X is a non-standard normal variable, with a mean of 145, and std deviation of 10 (i.e. X~N(145,10)). You have an observation (z) on a standard normal scale (i.e. Z~N(0,1)). If z = 0.72, what is it on an X scale? Express your answer to two decimal places (ex: 123.45).A persons blood glucose level and diabetes are closely related XB a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Supposed to after a 12 hour fast the random variable X will have a distribution that is approximately normal with mean of u=87 and a standard deviation of O=25. Note: after 50 years of age both the mean and Standard deviation tends to increase for an adult under 50 after 12 hour fast find the following probabilities A) X is more than 60 B) X is less than 60 C) X is between 60 and 110 D) X is greater than 125 (borderline diabetes starts at 125)Suppose X is a non-standard normal variable, with a mean of 122, and std deviation of 15 (i.e. X~N(122,15)). You have an observation (z) on a standard normal scale (i.e. Z~N(0,1)). If z = -1.39, what is it on an X scale? Express your answer to two decimal places (ex: 123.45).
- How much force must be applied to a 1.8kg ice hockey puck to give it an acceleration of 10 m s-2IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. (a) Find the z-score for an IQ of 99, rounded to three decimal places. (b) Find the probability that the person has an IQ greater than 99. (c) Shade the area corresponding to this probability in the graph below. (Hint: The x- axis is the z-score. Use your z-score from part (a), rounded to one decimal place). Shade: Left of a value -1 -1.5 0 +). Click and drag the arrows to adjust the values. 1 2 (d) MENSA is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the MENSA organization. (e) Sketch the graph, and write the probability statement. Edit Insert Formats B I U x₂ x² A => EM e & N 18 (f) The middle 50% of IQs fall between what two values? (g) Sketch the graph and write the probability statement. Edit Insert Formats BIUX₂ X² A E = = E EC P R N • Σ+ Σ Α Σ+ Σ ΑOverproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma.† Over a period of months, an adult male patient has taken six blood tests for uric acid. The mean concentration was x = 5.35 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.83 mg/dl. (a) Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error? (Round your answers to two decimal places.) lower limit= upper limit= margin of error= (d) Find the sample size necessary for a 95% confidence level with maximal margin of error E = 1.02 for the mean concentration of uric acid in this patient's blood. (Round your answer up to the nearest whole number.)
