At a= 0.05, is there a significant difference on your sample average price if the market average price is PHP 40. Show the detailed steps in hypothesis testing and illustrate the decision rule. Step 1: State the hypothesis  H0: µ=40 H1: µ ≠ 40 Step 2: Significant Alpha Step 3: Determine the appropriate test statistic Step 4: Find the Critical Values  Step 5: Compute the test statistic Step 6: Decision Rule

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 16E
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At a= 0.05, is there a significant difference on your sample average price if the market average price is PHP 40. Show the detailed steps in hypothesis testing and illustrate the decision rule.

Step 1: State the hypothesis 

H0: µ=40

H1: µ ≠ 40

Step 2: Significant Alpha

Step 3: Determine the appropriate test statistic

Step 4: Find the Critical Values 

Step 5: Compute the test statistic

Step 6: Decision Rule

 

Please complete the steps thanks

(x)
10
13
15
8
10
10
10
15
18
20
20
10
8
8
10
15
20
13
10
13
-2.7
0.3
23
-4.7
-2.7
-2.7
-2.7
2.3
5.3
73
73
-2.7
-4.7
-4.7
-2.7
2.3
7.3
0.3
-2.7
0.3
7.29
0.09
5.29
22.09
7.29
7.29
729
5.29
22.09
28.09
53.29
53.29
729
22.09
22.09
7.29
529
53.29
0.09
7.29
0.09
13
0.3
0.09
20
7.3
53.29
8
-4.7
22.09
10
-2.7
7.29
10
-2.7
7.29
8
-4.7
22.09
15
2.3
5.29
0.09
13
0.3
20
7.3
53.29
Total: 381
514.3
s²= x= [(x-x)² = 514.3 = 17.73448276
n-1
30-1
The sample standard deviation is, 4.211232926 found by 17.73448276. As we note again
that the sample variance is in terms of per price of 500mg of Royal Seal Salt, but taking the
square root of 17.73448276 gives us 4.211232926, which is in the same unit as the original
data.
MEAN
Formula: μ => x
N
= 10+13+15+8+10+10+10+15+8+18+20+20+10+8+8+10+ 15+20+13+10+13+13+20+8+10+10+8+15+13+20
30
= 381
30
= 12.7
In order to get the mean, we have to add all the collected Data price of 500mg of Royal Seal Salt and divide by 30, that is why we get the 12.7 in total.
RANGE
8 10 10 13 18
8 10 10 13 20
8
10 10 15 20
8
10 13 15 20
8
10 13 15 20
8 10 13 15 20
(insert symbol)
= 20-8
= 12
Subtract the number from lowest value to highest value.
STANDARD DEVIATION
X=> x = 381
N
30
= 12.7
Transcribed Image Text:(x) 10 13 15 8 10 10 10 15 18 20 20 10 8 8 10 15 20 13 10 13 -2.7 0.3 23 -4.7 -2.7 -2.7 -2.7 2.3 5.3 73 73 -2.7 -4.7 -4.7 -2.7 2.3 7.3 0.3 -2.7 0.3 7.29 0.09 5.29 22.09 7.29 7.29 729 5.29 22.09 28.09 53.29 53.29 729 22.09 22.09 7.29 529 53.29 0.09 7.29 0.09 13 0.3 0.09 20 7.3 53.29 8 -4.7 22.09 10 -2.7 7.29 10 -2.7 7.29 8 -4.7 22.09 15 2.3 5.29 0.09 13 0.3 20 7.3 53.29 Total: 381 514.3 s²= x= [(x-x)² = 514.3 = 17.73448276 n-1 30-1 The sample standard deviation is, 4.211232926 found by 17.73448276. As we note again that the sample variance is in terms of per price of 500mg of Royal Seal Salt, but taking the square root of 17.73448276 gives us 4.211232926, which is in the same unit as the original data. MEAN Formula: μ => x N = 10+13+15+8+10+10+10+15+8+18+20+20+10+8+8+10+ 15+20+13+10+13+13+20+8+10+10+8+15+13+20 30 = 381 30 = 12.7 In order to get the mean, we have to add all the collected Data price of 500mg of Royal Seal Salt and divide by 30, that is why we get the 12.7 in total. RANGE 8 10 10 13 18 8 10 10 13 20 8 10 10 15 20 8 10 13 15 20 8 10 13 15 20 8 10 13 15 20 (insert symbol) = 20-8 = 12 Subtract the number from lowest value to highest value. STANDARD DEVIATION X=> x = 381 N 30 = 12.7
UNIT
Itt
Fut
THOUDOR ILL
MAMOALING INT
#RAMA
I'll
-VANICOLAT
juu
ERMITA
INT
CARDON
Ixt
CARRETA
TU
CAPITOLUITE Itt
PANAGDAH Ixt
DULTO
Tu
MA-GUNCAY
EUCARIO
OPRA
30
40-
25
20
25
25
40
+5
20
20
30
-25
410
PARDO
INAYAWAN
COLON
DAVAK
GUADALUPE
LAPU-LAPU
MANDAUE
DANANA
T-PADILA
CPADILLA
TABUAN
JONES
CAVAMDAGAN
-FIVA
LA HUG
APAS
ROYAL PEAL VALT
CEAI-
20
UNLE
1 xt
ILL
IU
Ixt
Ikt
1kt
Itt
1 tt
1xt
Itt
1ttt
1kt
1u
Itt
30
15
-20-
-20-
20
30
15
-40
-40
20
15
15
-20
Transcribed Image Text:UNIT Itt Fut THOUDOR ILL MAMOALING INT #RAMA I'll -VANICOLAT juu ERMITA INT CARDON Ixt CARRETA TU CAPITOLUITE Itt PANAGDAH Ixt DULTO Tu MA-GUNCAY EUCARIO OPRA 30 40- 25 20 25 25 40 +5 20 20 30 -25 410 PARDO INAYAWAN COLON DAVAK GUADALUPE LAPU-LAPU MANDAUE DANANA T-PADILA CPADILLA TABUAN JONES CAVAMDAGAN -FIVA LA HUG APAS ROYAL PEAL VALT CEAI- 20 UNLE 1 xt ILL IU Ixt Ikt 1kt Itt 1 tt 1xt Itt 1ttt 1kt 1u Itt 30 15 -20- -20- 20 30 15 -40 -40 20 15 15 -20
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