The extent to which a distribution is peaked or flat, also called the kurtosis of the distribution, is often mea-sured by means of the quantity α4 = μ4σ4 Use the formula for μ4 obtained in Exercise 25 to findα4 for each of the following symmetrical distributions,of which the first is more peaked (narrow humped) thanthe second:(a) f(−3) = 0.06, f(−2) = 0.09, f(−1) = 0.10, f(0) =0.50, f(1) = 0.10, f(2) = 0.09, and f(3) = 0.06;(b) f(−3) = 0.04, f(−2) = 0.11, f(−1) = 0.20, f(0) =0.30, f(1) = 0.20, f(2) = 0.11, and f(3) = 0.04.

A CI is desired for the true average stray-load loss (watts) for a certain type of induction motor when the line current held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with = 2.9. (Round your answers to two decimal places.) (a) Compute a 95% CI for μ when n = 25 and x = 59.1. watts (b) Compute a 95% CI for when n = 100 and x = 59.1. watts (c) Compute a 99% CI for μ when n = 100 and x = 59.1. watts (d) Compute an 82% CI for when n = 100 and x = 59.1. watts (e) How large must n be if the width of the 99% interval for is to be 1.0? (Round your answer up to the nearest whole number.) n =

5. Find the average value of f(x) == on [e¹, e5]. X

A CI is desired for the true average stray-load loss μ (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with o = 3.0. a. Compute a 95% CI for μ when n = 25 and н x = 58.3. b. Compute a 95% CI for μ when n = 100 and x = 58.3.

A CI is desired for the true average stray-load loss u (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with o = 2.9. (Round your answers to two decimal places.) (a) Compute a 95% CI for u when n = 25 and x = 58.0. 56.86 59.14 watts (b) Compute a 95% CI for µ when n = 100 and x = 58.0. 57.43 58.57 ) watts (c) Compute a 99% CI for u when n = 100 and x = 58.0. 57.25 58.75 watts (d) Compute an 82% CI for H when n = 100 and x = 58.0. watts (e) How large must n be if the width of the 99% interval for u is to be 1.0? (Round your answer up to the nearest whole number.) n = You may need to use the appropriate table in the Appendix of Tables to answer this question.

A CI is desired for the true average stray-load loss u (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is normally distributed with o = 2.2. (Round your answers to two decimal places.) (a) Compute a 95% CI for u when n = 25 and x = 58.5. watts (b) Compute a 95% CI for µ whenn = 100 and x = 58.5. watts (c) Compute a 99% CI for u when n = 100 and x = 58.5. watts (d) Compute an 82% CI for u when n = 100 and x = 58.5. watts (e) How large must n be if the width of the 99% interval for u is to be 1.0? (Round your answer up to the nearest whole number.) n =

To test H0​: μ=40 versus H1​: μ<40​, a random sample of size n=22 is obtained from a population that is known to be normally distributed. Complete parts​ (a) through​ (d) below.   Click here to view the​ t-Distribution Area in Right Tail. ​(a) If x=37.6 and s=11.6​, compute the test statistic.   t0=nothing ​(Round to three decimal places as​ needed.)