\u06f1\u06f3\u06f9\u06f1\/\u06f1\u06f2\/\u06f0\u06f8<\/p>\n
\u0641\u0627\u0635\u0644\u0647 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u0628\u0631\u0627\u06cc \u0646\u0633\u0628\u062a \u062c\u0627\u0645\u0639\u0647
\n\u062f\u0631 \u06cc\u06a9 \u062c\u0627\u0645\u0639\u0647 \u062f\u0627\u0646\u0634\u06af\u0627\u0647\u06cc ( \u0642\u0628\u0648\u0644 \u0634\u062f\u06af\u0627\u0646 \u0648 \u0631\u062f \u0634\u062f\u06af\u0627\u0646 ) \u0645\u06cc \u062e\u0648\u0627\u0647\u06cc\u0645 \u0641\u0627\u0635\u0644\u0647
\n\u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u0631\u0627 \u0628\u062f\u0633\u062a \u0628\u06cc\u0627\u0648\u0631\u06cc\u0645<\/p>\n
\u0622\u0632\u0645\u0627\u06cc\u0634 \u062f\u0648 \u062c\u0645\u0644\u0647 \u0627\u06cc \u0628\u0631\u0627\u06cc n-1 \u062f\u0627\u0631\u06cc\u0645
\n\u0641\u0627\u0635\u0644\u0647 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u06a9\u0647 \u0628\u0631\u0627\u06cc p \u0645\u06cc \u062e\u0648\u0627\u0647\u06cc\u0645 \u0628\u062f\u0647\u06cc\u0645<\/p>\n
<\/p>\n
\u06f1\u06f3\u06f9\u06f1\/\u06f1\u06f2\/\u06f0\u06f8
\nTA ESL
\npage 33 \/97
\nIntervals
\n\u0645\u062a\u063a\u06cc\u0631 \u062a\u0635\u0627\u062f\u0641\u06cc \u062f\u0631 \u06cc\u06a9 \u0628\u0627\u0632\u0647 \u0642\u0631\u0627\u0631 \u0628\u06af\u06cc\u0631\u0647<\/p>\n
Page 35
\n\u0686\u0647 \u0686\u06cc\u0632 \u0647\u0627\u06cc\u06cc \u062f\u0631 \u0641\u0627\u0635\u0644\u0647 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u062a\u0627\u062b\u06cc\u0631 \u0645\u06cc \u06af\u0630\u0627\u0631\u062f \u061f
\n\u0647\u0631 \u0686\u0647 ….. \u0628\u0632\u0631\u06af\u062a\u0631 \u0628\u0627\u0634\u062f \u0641\u0627\u0635\u0644\u0647 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u0628\u0632\u0631\u06af\u062a\u0631 \u0645\u06cc \u0634\u0648\u062f
\n\u0642\u0628\u0644\u0627 Z \u0631\u0627 \u062f\u0627\u0634\u062a\u06cc\u0645 \u060c \u0627\u062d\u062a\u0645\u0627\u0644 \u0631\u0627 \u067e\u06cc\u062f\u0627 \u0645\u06cc\u06a9\u0631\u062f\u06cc\u0645
\n\u0648\u0644\u06cc \u062d\u0627\u0644\u0627 \u0627\u062d\u062a\u0645\u0627\u0644 \u0631\u0627 \u062f\u0627\u0631\u06cc\u0645 \u0648 Z \u0631\u0627 \u067e\u06cc\u062f\u0627 \u0645\u06cc\u06a9\u0646\u06cc\u0645<\/p>\n
\u0647\u0631 \u0686\u0647 \u0641\u0627\u0635\u0644\u0647 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u06a9\u0648\u0686\u06a9\u062a\u0631 \u0628\u0627\u0634\u062f \u060c\u062e\u0648\u0628 \u0627\u0633\u062a \u0648\u0644\u06cc \u0628\u0627\u06cc\u062f \u0636\u0631\u06cc\u0628 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646
\n\u0647\u0645 \u0642\u0627\u0628\u0644 \u0627\u0639\u062a\u0645\u0627\u062f \u0628\u0627\u0634\u062f \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0641\u0636\u0627\u06cc \u0646\u0645\u0648\u0646\u0647 \u0631\u0627 \u0632\u06cc\u0627\u062f \u062a\u0631 \u0645\u06cc\u06a9\u0646\u06cc\u0645<\/p>\n
page 42
\n\u062f\u0648 \u062d\u0627\u0644\u062a \u062f\u0627\u0631\u06cc\u0645
\n\u06f1- \u0648\u0627\u0631\u06cc\u0627\u0646\u0633 \u0645\u0639\u0644\u0648\u0645\u0647 \u060c \u0645\u06cc\u062f\u0648\u0646\u06cc\u0645 \u06a9\u0647 \u0633\u06cc\u06af\u0645\u0627 \u0686\u0646\u062f\u0647
\n\u06f2- \u0648\u0627\u0631\u06cc\u0627\u0646\u0633 \u0645\u0639\u0644\u0648\u0645 \u0646\u06cc\u0633\u062a (\u0633\u06cc\u06af\u0645\u0627 \u0645\u062c\u0647\u0648\u0644\u0647 )<\/p>\n
Page 47
\n\u0641\u0631\u0636 \u0647\u0627 \u062f\u0631 \u0627\u06cc\u0646 \u062d\u0627\u0644\u062a \u062a\u0648\u0632\u06cc\u0639 X \u0631\u0627 \u0628\u0627 \u0646\u0631\u0645\u0627\u0644 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u0645 \u062a\u0642\u0631\u06cc\u0628 \u0628\u0632\u0646\u06cc\u0645<\/p>\n
\u0645\u062b\u0627\u0644 :
\n\u0646\u0645\u0648\u0646\u0647 \u062a\u0635\u0627\u062f\u0641\u06cc \u062f\u0627\u0631\u06cc\u0645 \u060c \u0645\u06cc \u062e\u0648\u0627\u0647\u06cc\u0645 \u0641\u0627\u0635\u0644\u0647 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u06f9\u06f5% \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u0645
\n\u0633\u06cc\u06af\u0645\u0627 X-Bar \u0686\u0646\u062f \u0645\u06cc\u0634\u0647 \u061f \u06f2 \u0645\u06cc\u0634\u0647
\n\u0622\u0644\u0641\u0627 \u0686\u0646\u062f\u0647 \u061f \u06f5 \u0635\u062f\u0645
\n\u0637\u0628\u0642 \u0627\u06cc\u0646 \u0641\u0631\u0645\u0648\u0644 Z a\/2 \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u0645 \u060c\u0632\u062f \u0627\u0644\u0641\u0627 \u062f\u0648\u0645 = \u06f2\u06f5 \u0647\u0632\u0627\u0631\u0645
\n\u0641\u0627\u0635\u0644\u0647 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u062f\u0631 …
\n\u0627\u06cc\u0646 \u0641\u0627\u0635\u0644\u0647 \u062a\u0635\u0627\u062f\u0641\u06cc \u0646\u06cc\u0633\u062a \u060c \u062f\u0642\u06cc\u0642\u0627 \u0645\u0642\u062f\u0627\u0631 \u0628\u0631\u0622\u0648\u0631\u062f\u0634 \u0627\u0633\u062a<\/p>\n
\u0645\u062b\u0627\u0644 : \u06a9\u0627\u0631\u062e\u0627\u0646\u0647 \u062a\u0648\u0644\u06cc\u062f \u0634\u06cc\u0631
\n\u0628\u0631\u0627\u06cc \u0628\u0637\u0631\u06cc \u0647\u0627\u06cc \u06f1 \u0644\u06cc\u062a\u0631\u06cc \u0622\u06cc\u0627 \u06a9\u0627\u0645\u0644 \u067e\u0631 \u0645\u06cc \u0634\u0648\u0646\u062f
\n\u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u067e\u0631 \u0634\u062f\u0646 \u0628\u0637\u0631\u06cc \u0647\u0627 \u0631\u0627 \u0628\u0631 \u0622\u0648\u0631\u062f \u06a9\u0646\u06cc\u0645<\/p>\n
\u0633\u06af\u06cc\u0645\u0627 \u060c \u0627\u0646\u062d\u0631\u0627\u0641 \u0645\u0639\u06cc\u0627\u0631 \u0622\u0646 \u0631\u0627 \u0645\u06cc \u062e\u0648\u0627\u0647\u06cc\u0645 \u0628\u062f\u0633\u062a \u0622\u0648\u0631\u06cc\u0645
\n\u0628\u0631\u0627\u06cc \u06cc\u06a9 \u0628\u0631\u0622\u0648\u0631\u062f \u0641\u0627\u0635\u0644\u0647 \u0627\u06cc \u06cc\u06a9 \u0631\u062e\u062f\u0627\u062f \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u06a9\u0646\u06cc\u0645<\/p>\n
\u0628\u0631\u0627\u06cc \u0641\u0627\u0635\u0644\u0647 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u06f9\u06f0% \u0628\u0627\u06cc\u062f \u0622\u0644\u0641\u0627 \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u06f1\u06f0 \u0635\u062f\u0645 \u0627\u0633\u062a
\n\u0627\u0644\u0641\u0627 \u062f\u0648\u0645 \u06f5 \u0635\u062f\u0645
\n\u062f\u0631 \u062c\u062f\u0648\u0644 \u067e\u06cc\u062f\u0627 \u0645\u06cc\u06a9\u0646\u0645 \u0648 \u062f\u0631 \u0641\u0631\u0645\u0648\u0644 \u0645\u06cc\u0630\u0627\u0631\u0645 \u06a9\u0647 \u06cc\u06a9 \u0641\u0627\u0635\u0644\u0647 \u0628\u0631\u0627\u06cc \u0645\u06cc\u0648 \u0628\u062f\u0633\u062a \u0628\u06cc\u0627\u062f<\/p>\n
page 52\/97
\n\u0645\u0641\u0627\u0647\u06cc\u0645 :<\/p>\n
\u06f1- \u0646\u0645\u0648\u0646\u0647 \u06af\u06cc\u0631\u06cc \u0645\u06cc\u06a9\u0646\u06cc\u0645 \u060c X-Bar \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u06a9\u0646\u06cc\u0645
\n\u06f2- \u0628\u0631 \u0622\u0648\u0631\u062f \u0641\u0627\u0635\u0644\u0647 \u0627\u06cc \u0628\u0631\u0627\u06cc \u0645\u06cc\u0648 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u06a9\u0646\u0645 + \u0648 – \u06f9\u06f6\u0635\u062f\u0645 \u0645\u06cc\u06a9\u0646\u0645
\n\u0645\u06cc\u0648 \u06cc\u06a9 \u0639\u062f\u062f \u062b\u0627\u0628\u062a \u0627\u0633\u062a \u0648 \u0645\u0641\u0647\u062f\u0645 \u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u062c\u0648\u062f \u0646\u062f\u0627\u0631\u062f<\/p>\n
\u06cc\u06a9 \u0646\u0645\u0648\u0646\u0647 \u062f\u06cc\u06af\u0631\u06cc \u0645\u06cc \u06af\u06cc\u0631\u0645 \u0648 X-Bar \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u06a9\u0646\u0645<\/p>\n
\u0627\u06af\u0631 \u062f\u0648 \u0646\u0645\u0648\u0646\u0647 \u0631\u0627 \u0628\u0627 \u0647\u0645 \u0642\u0627\u0637\u06cc \u06a9\u0646\u0645 \u060c \u0641\u0627\u0635\u0644\u0647 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u0628\u062f\u0633\u062a \u0622\u0645\u062f\u0647 \u06a9\u0648\u0686\u06a9\u062a\u0631
\n\u0627\u0633\u062a
\n\u062f\u0631 \u0627\u06cc\u0646 \u062f\u0648 \u0646\u0645\u0648\u0646\u0647 \u0645\u06cc\u0632\u0627\u0646 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u062a\u063a\u06cc\u06cc\u0631 \u0646\u0645\u06cc \u06a9\u0646\u062f
\n—————————————————————
\n\u06a9\u0644\u0627\u0633 \u0642\u0637\u0639 \u0634\u062f
\npage 60
\n\u0646\u0645\u0648\u062f\u0627\u0631 \u0646\u0627\u0631\u0646\u062c\u06cc \u062a\u0648\u0632\u06cc\u0639 T \u0628\u0627 \u06f1\u06f3 \u062f\u0631\u062c\u0647 \u0622\u0632\u0627\u062f\u06cc \u0627\u0633\u062a
\n\u0646\u0645\u0648\u062f\u0627\u0631 \u0627\u0628\u06cc \u062a\u0648\u0632\u06cc\u0639 T \u0628\u0627 \u06f5 \u062f\u0631\u062c\u0647 \u0622\u0632\u0627\u062f\u06cc \u0627\u0633\u062a<\/p>\n
\u062a\u0648\u0632\u06cc\u0639 T \u06cc\u06a9 \u062a\u0648\u0632\u06cc\u0639 \u0645\u062a\u0642\u0627\u0631\u0646 \u0627\u0633\u062a<\/p>\n
\u0628\u0631\u0627\u06cc \u062a\u0648\u0632\u06cc\u0639 T \u0627\u0632 \u0642\u0628\u0644 \u062c\u062f\u0648\u0644 \u062a\u0639\u06cc\u06cc\u0646 \u0634\u062f\u0647 \u062f\u0627\u0631\u06cc\u0645<\/p>\n
df=Degree of Freedom<\/p>\n
\u062f\u0631\u062c\u0647 \u0622\u0632\u0627\u062f\u06cc \u062a\u0639\u062f\u0627\u062f \u0645\u0634\u0627\u0647\u062f\u0627\u062a \u0647\u0633\u062a\u0646\u062f
\n\u0645\u062b\u0644\u0627 \u062f\u0631 \u0627\u06cc\u0646 \u0645\u062b\u0627\u0644 \u06f3 \u062a\u0627 X- bar \u0631\u0627 \u062d\u0633\u0627\u0628 \u06a9\u0631\u062f\u06cc\u0645 \u060c \u062c\u0645\u0639\u0634\u0648\u0646 \u0634\u062f\u0647 \u06f6
\nx1 , x2 \u0647\u0631 \u0686\u06cc \u0645\u06cc\u062a\u0648\u0646\u0647 \u0628\u0627\u0634\u0647 \u0648\u0644\u06cc x3 \u0628\u0627\u06cc\u062f \u0639\u062f\u062f\u06cc \u0628\u0634\u0647 \u06a9\u0647 \u062c\u0645\u0639\u0634\u0648\u0646 \u0628\u0634\u0647
\n\u06f6
\n\u0645\u062b\u0627\u0644 : \u0646\u0645\u0648\u0646\u0647 \u062a\u0635\u0627\u062f\u0641\u06cc \u06f2\u06f5 \u062a\u0627\u06cc\u06cc \u062f\u0627\u0631\u06cc\u0645 \u060c \u0646\u0631\u0645\u0627\u0644\u0647
\nX-bar = 50
\n\u0622\u0644\u0641\u0627 \u06f5 \u0635\u062f\u0645 \u0627\u0633\u062a
\n\u0622\u0644\u0641\u0627 \u062f\u0648\u0645 \u06f2\u06f5 \u0647\u0632\u0627\u0631\u0645
\n\u062f\u0631\u062c\u0647 \u0622\u0632\u0627\u062f\u06cc \u06f2\u06f4 \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u062c\u062f\u0648\u0644 \u0646\u06af\u0627\u0647 \u0645\u06cc\u06a9\u0646\u0645 \u06a9\u0647 \u0639\u062f\u062f t \u0631\u0627 \u0628\u0628\u06cc\u0646\u0645<\/p>\n
—————————-
\npage 76\/97
\n\u0641\u0627\u0635\u0644\u0647 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u0628\u0631\u0627\u06cc \u0646\u0633\u0628\u062a \u062c\u0627\u0645\u0639\u0647
\n\u062f\u0631 \u06cc\u06a9 \u062c\u0627\u0645\u0639\u0647 \u062f\u0627\u0646\u0634\u06af\u0627\u0647\u06cc ( \u0642\u0628\u0648\u0644 \u0634\u062f\u06af\u0627\u0646 \u0648 \u0631\u062f \u0634\u062f\u06af\u0627\u0646 ) \u0645\u06cc \u062e\u0648\u0627\u0647\u06cc\u0645 \u0641\u0627\u0635\u0644\u0647
\n\u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u0631\u0627 \u0628\u062f\u0633\u062a \u0628\u06cc\u0627\u0648\u0631\u06cc\u0645<\/p>\n
\u0622\u0632\u0645\u0627\u06cc\u0634 \u062f\u0648 \u062c\u0645\u0644\u0647 \u0627\u06cc \u0628\u0631\u0627\u06cc n-1 \u062f\u0627\u0631\u06cc\u0645
\n\u0641\u0627\u0635\u0644\u0647 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u06a9\u0647 \u0628\u0631\u0627\u06cc p \u0645\u06cc \u062e\u0648\u0627\u0647\u06cc\u0645 \u0628\u062f\u0647\u06cc\u0645
\npage 88
\nSample Error<\/p>\n
page 97
\n\u062e\u0644\u0627\u0635\u0647<\/p>\n
\u06a9\u062a\u0627\u0628 \u0622\u0642\u0627\u06cc \u0628\u0647\u0628\u0648\u062f\u06cc\u0627\u0646 \u0647\u0645 \u0627\u0632 \u0646\u0638\u0631 \u062f\u0631\u06a9 \u0645\u0637\u0627\u0644\u0628 \u0628\u0633\u06cc\u0627\u0631 \u0645\u0641\u06cc\u062f \u0627\u0633\u062a<\/p>\n
\u062a\u0645\u0631\u06cc\u0646 \u0631\u0627 \u0645\u0647\u0644\u062a\u0634\u0648 \u062a\u0645\u062f\u06cc\u062f \u0645\u06cc\u06a9\u0646\u0645
\n\u062d\u062a\u0645\u0627 \u0628\u0641\u0631\u0633\u062a\u06cc\u062f\u00a0f.gorji@aut.ac.ir<\/p>\n
Exercise 6.27, p. 310<\/p>\n
————————————<\/p>\n
X ~ N(Mu, sigma^2)<\/p>\n
Mu = 100, sigma=10<\/p>\n
Find mean and standard deviation of X-bar<\/p>\n
\u06f1\u06f3\u06f9\u06f1\/\u06f1\u06f2\/\u06f0\u06f8 \u0641\u0627\u0635\u0644\u0647 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u0628\u0631\u0627\u06cc \u0646\u0633\u0628\u062a \u062c\u0627\u0645\u0639\u0647 \u062f\u0631 \u06cc\u06a9 \u062c\u0627\u0645\u0639\u0647 \u062f\u0627\u0646\u0634\u06af\u0627\u0647\u06cc ( \u0642\u0628\u0648\u0644 \u0634\u062f\u06af\u0627\u0646 \u0648 \u0631\u062f \u0634\u062f\u06af\u0627\u0646 ) \u0645\u06cc \u062e\u0648\u0627\u0647\u06cc\u0645 \u0641\u0627\u0635\u0644\u0647 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u0631\u0627 \u0628\u062f\u0633\u062a \u0628\u06cc\u0627\u0648\u0631\u06cc\u0645 \u0622\u0632\u0645\u0627\u06cc\u0634 \u062f\u0648 \u062c\u0645\u0644\u0647 \u0627\u06cc \u0628\u0631\u0627\u06cc n-1 \u062f\u0627\u0631\u06cc\u0645 \u0641\u0627\u0635\u0644\u0647 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u06a9\u0647 \u0628\u0631\u0627\u06cc p \u0645\u06cc \u062e\u0648\u0627\u0647\u06cc\u0645 \u0628\u062f\u0647\u06cc\u0645<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-55","post","type-post","status-publish","format-standard","hentry","category-esl","category-3-id","post-seq-1","post-parity-odd","meta-position-corners","fix"],"_links":{"self":[{"href":"https:\/\/vua.nadiran.com\/index.php?rest_route=\/wp\/v2\/posts\/55"}],"collection":[{"href":"https:\/\/vua.nadiran.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/vua.nadiran.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/vua.nadiran.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/vua.nadiran.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=55"}],"version-history":[{"count":6,"href":"https:\/\/vua.nadiran.com\/index.php?rest_route=\/wp\/v2\/posts\/55\/revisions"}],"predecessor-version":[{"id":79,"href":"https:\/\/vua.nadiran.com\/index.php?rest_route=\/wp\/v2\/posts\/55\/revisions\/79"}],"wp:attachment":[{"href":"https:\/\/vua.nadiran.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=55"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vua.nadiran.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=55"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vua.nadiran.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=55"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}