Question
Se fabrica cierto tipo de hilo con una resistencia a la tensión media de 78.3 kilogramos y una desviación estándar de 5.6 kilogramos. ¿Cómo cambia la varianza de la media muestral cuando el tamaño de la muestraa) aumenta de 64 a 196 ?b) disminuye de 784 a 49 ?
Step 1
Given that the standard deviation of the population is 5.6 kg, we can calculate the variance using the formula: Variance = Standard deviation^2 Variance = 5.6^2 Variance = 31.36 kg^2 Show more…
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A certain type of thread is manufactured with a mean tensile strength of 78.3 kilograms and a standard deviation of 5.6 kilograms. How is the variance of the sample mean changed when the sample size is (a) increased from 64 to $196 ?$ (b) decreased from 784 to $49 ?$
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A certain type of thread is manufactured with a mean tensile strength of 87.8 kilograms and a standard deviation of 6.3 kilograms. How is the variance of the sample mean changed when the sample size is (a) increased from 81 to 196? (b) decreased from 324 to 49? (a) The sample variance from for n = 81 to for n = 196. (Type integers or decimals. Do not round.) (b) The sample variance from for n = 324 to for n = 49. (Type integers or decimals. Do not round.)
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