The true average diameter of ball bearings of a cer- tain type is supposed to be 0.5 in. What conclusion is ap- propriate when testing Ho: µ = 0.5 versus H„: µ ± 0.5 in each of the following situations: a. n = 13, t = 1.6, a = .05 b. n = 13, t = -1.6, a = .05 c. n = 25, t = -2.6, a = .01 d. n = 25, t = -3.6 %3D %3D
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- Given that 33.6% of all possible observations of the variable exceed 8, determine the area under the density curve that lies to the a. right of 8. b. left of 8.The area beneath the normal density curve is separated into three regions by the values a and b. Set the mean of the normal density curve to 6.4, the standard deviation to 0.7, and the x-value of b to 6.8. First, determine the value of the area to the right of b.A cereal company claims that mean weight of the cereal in its packets Is less than 14oz
- Flexural strength is a measure of a material's ability to resist failure in bending. The accompanying data are on flexural strength of concrete (in MegaPascal, MPa, where 1 Pa (Pascal) = 1.45 ⨯ 10−4 psi): 5.6 7.2 7.3 6.3 8.1 6.8 7.0 7.6 6.8 6.5 7.0 6.3 7.9 9.0 8.2 8.7 7.8 9.7 7.4 7.7 9.7 7.8 7.7 11.6 11.2 11.8 10.5 (a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Answer: Stems Leaves 5 6 7 8 9 10 11 What appears to be a representative strength value?Answer:____________ MPaDo the observations appear to be highly concentrated about the representative value or rather spread out? Answer: ______highly concentrated around the representative value ______spread out with a large range (b) Does the display appear to be reasonably symmetric about a representative value, or would you describe its shape in some other way? Answer: _____reasonably…Flexural strength is a measure of a material's ability to resist failure in bending. The accompanying data are on flexural strength of concrete (in MegaPascal, MPa, where 1 Pa (Pascal) = 1.45 ⨯ 10−4 psi): 5.7 7.2 7.3 6.2 8.1 6.8 7.0 7.6 6.8 6.5 7.0 6.3 7.9 9.0 8.2 8.7 7.8 9.7 7.4 7.7 9.7 7.8 7.7 11.6 11.5 11.8 10.6 (a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) What appears to be a representative strength value? Do the observations appear to be highly concentrated about the representative value or rather spread out? highly concentrated around the representative value spread out with a large range (b) Does the display appear to be reasonably symmetric about a representative value, or would you describe its shape in some other way? reasonably symmetric positive skewness negative skewness completely random distribution (c) Do there appear to be any outlying…Find the average value of y = √ax over [0, a]
- Calculate the area under the normal standard curve.1. to the right of the value of z= 2.13 2. to the left of the value of z= 1.04The bottom of a cylindrical container has an area of 10 cm². The container is filled to a height whose mean is 5cm, and whose standard deviation is 0.1 cm. Let V denote the volume of fluid in the container. a) Find μV. b) Find σV.Given that 0.345 of all possible observations of the variable are less than 10, determine the area under the density curve that lies to the right of 10. Given that 0.472 of all possible observation of the variable are greater than 22, determine the area under the density curve that lies to the left of 22.