Destry Okegou Using Tables for Normal Distribution Areas A factory produces basaballs. The woights of the baseballs produced are approximately normally distributed with a mean woight of 145 grams and a standard deviation of 2 grams. Offcial ruies roquire the balls to weigh between 142 and 149 grams. Recall that the proportion of items in an interval of an approximately norrmally distributed situation is the samo as the area under the normal curve. A table can be used to detomine tho area undor a normal curve bounded by an interval. First, the relevant values need to be converted to a z-score. A value's z-score reprasonts the number of standard deviations it is above the mean, In the baseball example, the value 147 grams has a z-scora of 1 since it is 1 standard deviation above the mean. The value 140 grams has a z-acore of -2.5 aince It is 2.6 standard doviations below the mean. value - mean In genoral, a z-Bcore can bo found using z= s tan dard deviation Find the z-80ore for 142 grams. Find the z-score for 149 grams. What value would have a z-scora of 1.45? What valun would have a z-scoro of -1.45? Submit and Explain Submit

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Dstry Olegou
Using Tables for Normal Distribution Areas
A factory produces baseballs. The weights of the baseballs produced are approximately normally distributed with a mean wcight of 145 grams and a
standard deviation of 2 grams. Oficial rules require the balls to weigh between 142 and 149 grams. Recall that the proportion of items in an interval of an
approximately normally distributed situation is the same as the area under the normal curve. A table can be used to determine the area under a normal curve
bounded by an interval.
First, the relevant values need to be converted to a z-score. A value's z-score represents the number of standard deviations it is above the mean. In the
baseball example, the value 147 grams has a z-score of 1 since it is 1 standard deviation above the mean. The value 140 grams has a z-score of -2.5 since
It is 2.5 standard deviations below the mean.
value – mean
In general, a Z-score can be found using z-
s tan dard deviation
Find the z-score for 142 grams.
Find the z-score for 149 grams.
What value would have a z-SIore of 1.45?
What valun would have a z-score of -1.45?
Submit and Explain
Submit
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Transcribed Image Text:ul T-Mobile LTE 1 7:58 PM •n 94% Done 15 of 17 a FOU FOU OI a TL I FOI I O I FJ LX O: MI aMI FOU I O0e 由 @ ☆ Undate i Kudont.desmos.com/sctivitybuilderistudent6089F5c70a264d0cbdd79fafdscreenld-la8ac431-0181-4449 6201-850010/e5fca + Lain h Selirg Asscc ate-.. B Sign in P View Portrai: Prse. O Nursing: Traltiu. Sesoi an Expiration. Clara Destiny ale. O Imcloymeni Certer Apps Cute Core. 5 of 12 Next > = Unit 4. Lesson 15: Questioning Experimenting Dstry Olegou Using Tables for Normal Distribution Areas A factory produces baseballs. The weights of the baseballs produced are approximately normally distributed with a mean wcight of 145 grams and a standard deviation of 2 grams. Oficial rules require the balls to weigh between 142 and 149 grams. Recall that the proportion of items in an interval of an approximately normally distributed situation is the same as the area under the normal curve. A table can be used to determine the area under a normal curve bounded by an interval. First, the relevant values need to be converted to a z-score. A value's z-score represents the number of standard deviations it is above the mean. In the baseball example, the value 147 grams has a z-score of 1 since it is 1 standard deviation above the mean. The value 140 grams has a z-score of -2.5 since It is 2.5 standard deviations below the mean. value – mean In general, a Z-score can be found using z- s tan dard deviation Find the z-score for 142 grams. Find the z-score for 149 grams. What value would have a z-SIore of 1.45? What valun would have a z-score of -1.45? Submit and Explain Submit FT FIN 23 2 4 9 delete { W Y P A S G H J K ock re > ? V B N M option command command option >
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