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.x0.350 0.274 0.340 0.248 0.367 0.269y 2.6 7.24.0 8.6 3.1 11.1](a) Verify that Ex - 1.848, Ey - 36.6, Er - 0.58173, Ey - 281.38, Exy - 10.4992, and r-0.906.Exy(b) Use a 1% level of significance to test the claim that p+ 0. (Use 2 decimal places.)critical talConclusionO Reject the null hypothesis, there is sufficient evidence that e differs from 0.O Reject the null hypothesis, there is insufficient evidence that a differs from 0.O Fail to reject the null hypothesis, there is insufficient evidence that e differs from 0.O Fail to reject the null hypothesis, there is sufficient evidence that p differs from 0.(c) Verify thats 1.6139, a - 25.092, andb 61.661b(d) Find the predicted percentage of strikeouts for a player with an x- 0.33 batting average. (Use 2 decimal places.)(e) Find a 90% confidence interval for y when x- 0.33. (Use 2 decimal places.)lower limitupper limt%(r) Use a 1% level of significance to test the daim that 8+ 0. (Use 2 decimal places.)critical t aConclusionO Reject the null hypothesis, there is sufficient evidence that s differs from 0.O Reject the null hypothesis, there is insufficient evidence that s differs from 0.O Fail to reject the null hypothesis, there is insuficient evidence that differs from 0.O Fail to reject the null hypothesis, there is sufficient evidence that differs from 0.(9) Find a 90% confidence interval for s and interpret its meaning.- (Use 2 decimal places.lower limitupper limitInterpretationO For every unit increase in batting average, the percentage strikeouts decreases by an amount that falls within the confidence interval.O For every unit increase in batting average, the percentage strikeouts inoreases by an amount that falls outside the confidence interval.O For every unit increase in batting average, the percentage strikeouts inoreases by an amount that falls within the confidence interval.O For every unit increase in batting average, the percentage strikeouts decreases by an amount that falls outside the confidence interval.

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tx be a random variable that represents the batting average of a professional basebal player. Let y be a random variable that represents the percentage of strikeouts of a professional basebal player. A random sample of a-6 professional baseball players gave the following information 0.350 0.774 0.340 0,248 0.367 0.269 4.0 8.6 3.1 111 (a) Verity that - 1.848, Zy - 36.6, E - 0.58173, Ey- 281.38, Exy - 10.4992, and r0.906. Exy (b) Use a 1% level of significance to test the claim that p0. (Use 2 decimal places.) critical t Conclusion O Reject the null hypothesis, there is sufficient evidence that p differs from 0. O Reject the null hypothesis, there is insufficient evidence that p difers from 0. O Fail to reject the nul hypothesis, there is insuficient evidence that p affers from 0. O Fail to reject the nul hypothesis, there is sufcient evidence that p differs from 0. (e) Verity that s,- 1.6139, a- 25.092, and b- -61.661. (a) Find the predicted percentage of strikeouts for a player with an x- 0.33 batting average. (Use 2 decimal places.) (e) Find a 90% confidence interval for y when x- 0.33. (Use 2 decimal places.) lower imt upper ime (7) Use a 1% level of significance to test the daim that 0. (Use 2 decimal places.) critical ta Conclusion O Reject the null hypothesis, there is sufficient evidence that differs from 0. O Reject the null hypothesis, there is insufficient evidence that differs from 0. O Fail to reject the nul hypothesis, there is insuffcient evidence that aers from 0. O Fail to reject the nul hypothesis, there is sufficient evidence that differs from 0. (a) Find a 90% confidence interval for and interpret its meaning. (Use 2 decimal places.) lower imt upper ime Interpretation O For every unit increase in batting average, the percentage strikeouts decreases by an amount that falls within the confidence interval. O For every unit increase in batting average, the percentage strikeouts inoreases by an amount that falls outside the confidence interval. O For every unit increase in batting average, the percentage strikeouts increases by an amount that falls within the confidence interval. O For every unit increase in batting average, the percentage strikeouts decreases by an amount that falls outside the confndence interval.