Suppose that the true population mean u= 99.2 and standard deviation o = 20.2 are unknown to the Delaware tourism board. They select a simple random sample of 50 full-service restaurants located within the state to estimate p. The mean number of seats per restaurant in the sample is M = 103.4, with a sample standard deviation of s = 18.2. The standard deviation of the distribution of sample means (that is, the standard error, oM) is (Note: Although u and o are unknown to the Delaware tourism board, they are known to you for the purposes of calculating these answers.) The standard or typlical average difference between the mean number of seats in the 559 full-service restaurants in Delaware (H = 99.2) and one randomly selected full-service restaurant in Delaware is The standard or typical average difference between the mean number of seats in the sample of 50 restaurants (M = 103.4) and one randomly selected restaurant in that sample is The standard or typical average difference between the mean number of seats in the 559 full-service restaurants in Delaware (H = 99.2) and the sample mean of any sample of size 50 is The 2-score that locates the mean number of seats in the Delaware tourism board's sample (M = 103.4) in the distribution of sample means is Use the unit normal tables and accompanying figures to answer the question that follows. To use the tables, select the desired range of z2-score values. A table of the proportions of the normal distribution corresponding to that range of 2-scores will appear. Suggestion: Make a sketch of the area under the normal distribution you are seeking. This sketch will help you determine which column(s) of the normal table to use in determining the appropriate probability. D: Bitene anda Bedy TalC

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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0.00 szs0.24:
0.25 szs0.49:
0.50 szs0.74:
0.75 szs0.99:
1.00 szs 1.24:
1.25 szs 1.49:
1.50 szs1.74:
1.75 szs 1.99:
2.00 szs2.24:
2.25 szs2.49:
2.50 szs2.74:
2.75 szs2.99:
3.00 szs3.24:
3.30 szs 4.00:
B: Proportion in Body
C: Proportion in Tail
D: Proportion Between Mean and z
.00
.5000
5000
.0000
.01
.5040
.4960
.0040
.02
.5080
4920
.0080
.03
.5120
.4880
.0120
.04
.5160
4840
.0160
.05
.5199
4801
.0199
.06
.5239
.4761
.0239
.07
.5279
.4721
.0279
.08
.5319
.4681
.0319
.09
.5359
.4641
.0359
.10
.5398
.4602
.0398
.11
.5438
.4562
.0438
.12
.5478
.4522
.0478
.13
.5517
.4483
.0517
.14
.5557
.4443
.0557
.15
.5596
.4404
.0596
.16
.5636
4364
.0636
.17
.5675
4325
.0675
.18
.5714
4286
.0714
.19
.5753
4247
.0753
.20
.5793
.4207
.0793
.21
.5832
.4168
.0832
.22
.5871
.4129
.0871
23
.5910
.4090
.0910
.24
.5948
4052
.0948
The Delaware tourism board selected a simple random sample of 50 full-service restaurants located within the state. Considering all possible such
samples withn = 50, what is the probability of selecting one whose mean is greater than 103.4? That is, p(M > 103.4) =
Transcribed Image Text:0.00 szs0.24: 0.25 szs0.49: 0.50 szs0.74: 0.75 szs0.99: 1.00 szs 1.24: 1.25 szs 1.49: 1.50 szs1.74: 1.75 szs 1.99: 2.00 szs2.24: 2.25 szs2.49: 2.50 szs2.74: 2.75 szs2.99: 3.00 szs3.24: 3.30 szs 4.00: B: Proportion in Body C: Proportion in Tail D: Proportion Between Mean and z .00 .5000 5000 .0000 .01 .5040 .4960 .0040 .02 .5080 4920 .0080 .03 .5120 .4880 .0120 .04 .5160 4840 .0160 .05 .5199 4801 .0199 .06 .5239 .4761 .0239 .07 .5279 .4721 .0279 .08 .5319 .4681 .0319 .09 .5359 .4641 .0359 .10 .5398 .4602 .0398 .11 .5438 .4562 .0438 .12 .5478 .4522 .0478 .13 .5517 .4483 .0517 .14 .5557 .4443 .0557 .15 .5596 .4404 .0596 .16 .5636 4364 .0636 .17 .5675 4325 .0675 .18 .5714 4286 .0714 .19 .5753 4247 .0753 .20 .5793 .4207 .0793 .21 .5832 .4168 .0832 .22 .5871 .4129 .0871 23 .5910 .4090 .0910 .24 .5948 4052 .0948 The Delaware tourism board selected a simple random sample of 50 full-service restaurants located within the state. Considering all possible such samples withn = 50, what is the probability of selecting one whose mean is greater than 103.4? That is, p(M > 103.4) =
There are 559 full-service restaurants in Delaware. The mean number of seats per restaurant is 99.2. [Source: Data based on the 2002 Economic
Census from the US Census Bureau.]
Suppose that the true population mean p = 99.2 and standard deviation o = 20.2 are unknown to the Delaware tourism board. They select a simple
random sample of 50 full-service restaurants located within the state to estimate p. The mean number of seats per restaurant in the sample is M =
103.4, with a sample standard deviation of s = 18.2.
The standard deviation of the distribution of sample means (that is, the standard error, OM) is (Note: Although p and o are unknown to the
Delaware tourism board, they are known to you for the purposes of calculating these answers.)
The standard or typical average difference between the mean number of seats in the 559 full-service restaurants in Delaware (p = 99.2) and one
randomly selected full-service restaurant in Delaware is
The standard or typical average difference between the mean number of seats in the sample of 50 restaurants (M = 103.4) and one randomly
selected restaurant in that sample is v
The standard or typical average difference between the mean number of seats in the 559 full-service restaurants in Delaware (u = 99.2) and the
sample mean of any sample of size 50 is
The z-score that locates the mean number of seats in the Delaware tourism board's sample (M = 103.4) in the distribution of sample means is
Use the unit normal tables and accompanying figures to answer the question that follows. To use the tables, select the desired range of z-score values.
A table of the proportions of the normal distribution corresponding to that range of 2-scores will appear.
Suggestion: Make a sketch of the area under the normal distribution you are seeking. This sketch will help you determine which column(s) of the
normal table to use in determining the appropriate probability.
D: Batween0
Body B
Tail C
Transcribed Image Text:There are 559 full-service restaurants in Delaware. The mean number of seats per restaurant is 99.2. [Source: Data based on the 2002 Economic Census from the US Census Bureau.] Suppose that the true population mean p = 99.2 and standard deviation o = 20.2 are unknown to the Delaware tourism board. They select a simple random sample of 50 full-service restaurants located within the state to estimate p. The mean number of seats per restaurant in the sample is M = 103.4, with a sample standard deviation of s = 18.2. The standard deviation of the distribution of sample means (that is, the standard error, OM) is (Note: Although p and o are unknown to the Delaware tourism board, they are known to you for the purposes of calculating these answers.) The standard or typical average difference between the mean number of seats in the 559 full-service restaurants in Delaware (p = 99.2) and one randomly selected full-service restaurant in Delaware is The standard or typical average difference between the mean number of seats in the sample of 50 restaurants (M = 103.4) and one randomly selected restaurant in that sample is v The standard or typical average difference between the mean number of seats in the 559 full-service restaurants in Delaware (u = 99.2) and the sample mean of any sample of size 50 is The z-score that locates the mean number of seats in the Delaware tourism board's sample (M = 103.4) in the distribution of sample means is Use the unit normal tables and accompanying figures to answer the question that follows. To use the tables, select the desired range of z-score values. A table of the proportions of the normal distribution corresponding to that range of 2-scores will appear. Suggestion: Make a sketch of the area under the normal distribution you are seeking. This sketch will help you determine which column(s) of the normal table to use in determining the appropriate probability. D: Batween0 Body B Tail C
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