Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.318 0.272 0.340 0.248 0.367 0.269 y 3.4 8.0 4.0 8.6 3.1 11.1  Σx = 1.814, Σy = 38.2, Σx2 = 0.559262, Σy2 = 298.34, Σxy = 10.8736, and r ≈ -0.874.     (e) Find a 95% confidence interval for y when x = 0.35. (Use 2 decimal places.) lower limit % upper limit     (g) Find a 95% confidence interval for β and interpret its meaning. (Use 2 decimal places.) lower limit   upper limit

Solve. Given independent random variables with means and standard deviations as shown, find the mean and standard deviation of the random variable X + Y. Round to two decimal places if necessary. Mean SD 41 8 Y 41 12 O A. µ= 82 and o = 14.422 O B. u = 82 and o = 9 O C. µ= 41 and o = 10 O D. µ=41 and o = 14,422 O E. µ= 82 and o = 20 Click to select your answer. MacBook Air FIO 20 F3 F7 esc 000 F4 FS

Complete the following table that lists all possible samples of n = 2 scores from the population. Use the first three rows (Samples a-c) as examples. Sample a b с d e f 9 h i Score 1 Score 2 1 Mean of 1 1 SS n-1 4 4 4 7 7 7 Mean of M column= column= 1 SS Mean of column = n 4 7 1 4 7 1 4 7 M = This EX n 1.00 2.50 This 4.00 2.50 4.00 5.50 4.00 5.50 7.00 This SS 0.00 Calculate the mean for all values in the M column, SS column and in column. Which values match the parameters of the population? Identify those statistics that were biased. Identify those statistics that were unbiased. n-1 4.50 18.00 SS n-1 0.00 4.50 18.00 SS 0.00 2.25 9.00 the mean u of the population. The sample mean is ▼ the variance o² of the population. Sis the variance 02 of the population. SS is n-1 estimate of u. estimate of 02. estimate of g².

Please help with unanswered parts (d,e,f,g)

Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.318 0.272 0.340 0.248 0.367 0.269 y 3.4 8.0 4.0 8.6 3.1 11.1  Σx = 1.814, Σy = 38.2, Σx2 = 0.559262, Σy2 = 298.34, Σxy = 10.8736, and r ≈ -0.874.  (d) Find the predicted percentage of strikeouts for a player with an x = 0.35 batting average. (Use 2 decimal places.)%(e) Find a 95% confidence interval for y when x = 0.35. (Use 2 decimal places.) lower limit % upper limit % (f) Use a 1% level of significance to test the claim that β ≠ 0. (Use 2 decimal places.) t   critical t ±

Consider the idea of a sampling distribution in the case of a very small sample from a very small population. The population is 10 students in a certain class: Student 1 3 8. 6. Weight 136 99 118 129 125 170 130 128 120 147 The mean weight in pounds u in this population is the parameter of interest. la) What does the random variable (X) represent? 1b) Finish filling in the frequency distribution table: Counts (Frequency) 90-109.9 1 110-129.9 130-149.9 150-169.9 170-179.9 Total: 10 1c) Draw a histogram that shows the population distribution of X. (Label the horizontal and vertical axis.) 1d) Find the population mean u.

Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.336 0.296 0.340 0.248 0.367 0.269 y 3.2 7.5 4.0 8.6 3.1 11.1 (b) Use a 10% level of significance to test the claim that ρ ≠ 0. (Use 2 decimal places.) t   critical t ±   (d) Find the predicted percentage of strikeouts for a player with an x = 0.288 batting average. (Use 2 decimal places.) %(e) Find a 95% confidence interval for y when x = 0.288. (Use 2 decimal places.) lower limit  % upper limit  % (f) Use a 10% level of significance to test the claim that β ≠ 0. (Use 2 decimal places.) t   critical t ±   (g) Find a 95% confidence interval for β and interpret its meaning. (Use 2 decimal places.) lower limit   upper limit   please show steps and work

Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information.  x 67 70 69 81 65 86 y 51 54 45 56 50 49 Given that ∑x = 438, ∑y = 305, ∑x2 = 32,332, ∑y2 = 15,579, ∑xy = 22,302, and r = 0.226, find the P-value for a test claiming that ρ is greater than zero.   0.25 >  P-value  > 0.10   0.10 >  P-value  > 0.05   0.40 >  P-value  > 0.25   P-value  < 0.0005   P-value  > 0.40X

The following data represent petal lengths (in cm) for independent random samples of two species of iris. Petal length (in cm) of Iris virginica: x1; n1 = 36 5.2 5.6 6.1 6.1 5.1 5.5 5.3 5.5 6.9 5.0 4.9 6.0 4.8 6.1 5.6 5.1 5.6 4.8 5.4 5.1 5.1 5.9 5.2 5.7 5.4 4.5 6.4 5.3 5.5 6.7 5.7 4.9 4.8 5.8 5.2 5.2 Petal length (in cm) of Iris setosa: x2; n2 = 38 1.6 1.8 1.4 1.5 1.5 1.6 1.4 1.1 1.2 1.4 1.7 1.0 1.7 1.9 1.6 1.4 1.5 1.4 1.2 1.3 1.5 1.3 1.6 1.9 1.4 1.6 1.5 1.4 1.6 1.2 1.9 1.5 1.6 1.4 1.3 1.7 1.5 1.5   (a) Use a calculator with mean and standard deviation keys to calculate x1, s1, x2, and s2. (Round your answers to four decimal places.) x1=s1=x2=s2= (b) Let μ1 be the population mean for x1 and let μ2 be the population mean for x2. Find a 99% confidence interval for μ1 − μ2. (Round your answers to two decimal places.) lower limitupper limit

Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. x 73 84 88 63 76 85 y 46 45 55 41 51 53 Given that 3.755, a*13.677, b*0.445, x 78.167, Ex=469, y = 291, Ex² = 37,099, and y² = 14,257, find a 90% confidence interval for y when x=79. tc = 2.132 O between 40.9 and 56.9 O between 40.2 and 57.5 O between 40.1 and 57.6 O between 39.9 and 57.8 O between 40.4 and 57.4