Q9 Using the standard normal table, determine a z value (to the nearest two decimal places)...

Q9 Using the standard normal table, determine a z value (to the nearest two decimal places) such that the area [4 Marks] (a) From the midpoint to z is 0.20. (b) From the midpoint to z is 0.48. (c) Between z and negative infinity is 0.54. (d) Between z and positive infinity is 0.30.

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Expert Solution

The area under a standard normal curve is 1 with its value ranging from - infinity to + infinity with its midpoint at 0. So, the required values from the Z-table can be calculated as follows:

(a) Required z value is such that area under the curve between midpoint and z is 0.20. Now, in standard normal table if we want such an area we see the values that give area between negative infinity to z , in our problem we thus want

(b) The calculation is similar to that of (a) thus we need to find z such that area between negative infinity and z is 0.48+0.5= 0.98 so approximately .

(c) For this only the table is enough as it provides the required information directly.

(d)

orchestra answered 1 year ago

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