Solution,
mean = = 63
standard deviation = = 16
n = 46
a) The sampling distribution must be assumed to be normal.
= = 63
= / n = 16 / 43 = 2.44
b) P( < 67.2) = P(( - ) / < (67.2 - 63) / 2.44)
= P(z < 1.72)
Using z table
= 0.9572
c) P( 64.5) = 1 - P( 64.5)
= 1 - P[( - ) / (64.5 - 63) / 2.44]
= 1 - P(z 0.61)
= 1 - 0.7290
= 0.2709
.
i hope it helps..
If you have any doubts please comment and please don't dislike.
PLEASE GIVE ME A LIKE. ITS VERY IMPORTANT FOR ME.
A simple random sample of size n = 46 is obtained from a population with u...
A simple random sample of size n = 41 is obtained from a population with u = 67 and o = 17. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? Assuming that this condition is true, describe the sampling distribution of x. (b) Assuming the normal model can be used, determine P«<71.4). (c) Assuming the normal model can be used, determine Plă 269.3).
A simple random sample of size n= 13 is obtained from a population with u = 66 and o = 18. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? Assuming that this condition is true, describe the sampling distribution of x. (b) Assuming the normal model can be used, determine P(x<69.2). (c) Assuming the normal model can be used, determine P(x267.5). (a) What...
A simple random sample of size n 14 is obtained from a population with u 66 and a 17 (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? Assuming that this condition is true, describe the sampling distribution of x (b) Assuming the normal model can be used, determine P(x<69.9). (c) Assuming the normal model can be used, determine P(x267.5) (a) What must be...
B and C A simple random sample of size n = 12 is obtained from a population with u = 69 and o = 14. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? Assuming that this condition is true, describe the sampling distribution of x. (b) Assuming the normal model can be used, determine P(x<72.3). (c) Assuming the normal model can be used,...
A simple random sample of size n= 42 is obtained from a population with p = 67 and o = 18. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilitie (b) Assuming the normal model can be used determine P(x <70.6) (c) Assuming the normal model can be used, determine P(x2682). (a) What must be true regarding the distribution of the population? O A. The population must be...
Suppose a simple random sample of size n-37 is obtained from a population with p = 68 and a = 16. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P X < 72.3). (c) Assuming the normal model can be used, determine...
A simple random sample of size 13 is obtained from a population wth 67 and 15. (a) What must be true regarding the dribution of the population in order to use the romal model to compute probabiliter involving the sample mean? Assuming that this condition in rus, ducibe the samping detonati (6) Assuming the normal model can be used determine P < 703) c) Assuming the normal model can be used determine P 002) (a) What must be us regarding...
Ample random sample of size is obtained from a population with 67 and 18 (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? Assuming that this condition is true, describe the sampling distribution of (1) Assuming the normal model can be used determine P < 706) Assuming the normal model can be used determine P2682) (a) What must be regarding the distribution of the...
Asimple random sample of size na 10 is obtained from a population with 66 and 19 (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? Assuming that this condition is true, describe the sampling bution of () Assuming the normal model can be used determine Pox<89.6) (c) Assuming the normal model can be used determine PIX 268.3) (a) What must be true regarding the...
20 is obtained from a 18 Asimple random sample of size n ulation with -64 and ơ 17. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? Assuming that this condition is true, describe the sampling distribution of J. (b) Assuming that the requirements described in part (a) are satisfied, determine P(<67.3). (c) Assuming that the requirements described in part (a) are satisfied, determine...