2)¼ìÑé·Ö²¼µÄÕý̬ÐÔ; ½â£º
A=[93 75 83 93 91 85 84 82 77 76 77 95 94 89 91 88 86 83 96 81 79 97 78 75 67 69 68
84 83 81 75 66 85 70 94 84 83 82 80 78 74 73 76 70 86 76 90 89 71 66 86 73 80 94 79 78 77 63 53 55];
normplot(A)
ѧÉúµÄÒ»´Î¿¼ÊԳɼ¨½üËÆ·þ´ÓÕý̬·Ö²¼.
3)Èô¼ìÑé·ûºÏÕý̬·Ö²¼,¹À¼ÆÕý̬·Ö²¼µÄ²ÎÊý²¢¼ìÑé²ÎÊý. ½â£º
A=[93 75 83 93 91 85 84 82 77 76 77 95 94 89 91 88 86 83 96 81 79 97 78 75 67 69 68
84 83 81 75 66 85 70 94 84 83 82 80 78 74 73 76 70 86 76 90 89 71 66 86 73 80 94 79 78 77 63 53 55];
[muhat,sigmahat,muci,sigmaci]=normfit(A) [h,sig,ci]=ttest(A,80.1)
muhat =
80.1000
µÚ 37 Ò³ ¹² 46 Ò³
sigmahat =
9.7106
muci =
77.5915 82.6085
sigmaci =
8.2310 11.8436
¹À¼Æ³öѧÉúµÄÒ»´Î¿¼ÊԳɼ¨µÄ¾ùֵΪ80.1,·½²î9.7106,¾ùÖµµÄ0.95ÖÃÐÅÇø¼äΪ
[77.5915,82.6085],·½²îµÄ0.95ÖÃÐÅÇø¼äΪ[8.2310,11.8436].
h =
0 sig =
1 ci =
77.5915 82.6085
¼ìÑé½á¹û: 1. ²¼¶û±äÁ¿h=0, ±íʾ²»¾Ü¾øÁã¼ÙÉè,˵Ã÷Ìá³öµÄ¼ÙÉèѧÉúµÄÒ»´Î¿¼ÊÔ³É
¼¨¾ùÖµ80.1ÊǺÏÀíµÄ.
2. 95%µÄÖÃÐÅÇø¼äΪ [77.5915,82.6085], ËüÍêÈ«°üÀ¨80.1, ÇÒ¾«¶ÈºÜ¸ß. 3. sigֵΪ1, Ô¶³¬¹ý0.5, ²»ÄܾܾøÔ¼ÙÉè. 8.2 ÆûÓͼ۸ñ
¾Ý˵ijµØÆûÓ͵ļ۸ñÊÇÿ¼ÓÂØ115ÃÀ·Ö,ΪÁËÑéÖ¤ÕâÖÖ˵·¨,һλѧÕß¿ª³µËæ»úÑ¡ÔñÁËһЩ¼ÓÓÍÕ¾,µÃµ½Ä³ÄêÒ»ÔºͶþÔµÄÊý¾ÝÈçÏ£º
Ò»Ô£º119 117 115 116 112 121 115 122 116 118 109 112 119 112 117 113 114 109 109 118 ¶þÔ£º118 119 115 122 118 121 120 122 128 116 120 123 121 119 117 119 128 126 118 125 1£©·Ö±ðÓÃÁ½¸öÔµÄÊý¾ÝÑéÖ¤ÕâÖÖ˵·¨µÄ¿É¿¿ÐÔ; 2£©·Ö±ð¸ø³ö1ÔºÍ2ÔÂÆûÓͼ۸ñµÄÖÃÐÅÇø¼ä; 3£©¸ø³ö1ÔºÍ2ÔÂÆûÓͼ۸ñ²îµÄÖÃÐÅÇø¼ä;
>> a=[119 117 115 116 112 121 115 122 116 118 109 112 119 112 117 113 114 109 109
118]
a = Columns 1 through 14
119 117 115 116 112 121 115 122 116 118 109 112 119 112 Columns 15 through 20
117 113 114 109 109 118
>> b=[118 119 115 122 118 121 120 122 128 116 120 123 121 119 117 119 128 126 118
125]
b =
Columns 1 through 14
118 119 115 122 118 121 120 122 128 116 120 123 121 119 Columns 15 through 20
117 119 128 126 118 125 >> [n,x]=HIST(a)
µÚ 38 Ò³ ¹² 46 Ò³
Warning: Function call HIST invokes inexact match
C:\\MATLAB7\\toolbox\\matlab\\datafun\\hist.m.
n =
3 0 3 2 2 2 4 2 0 2 x =
Columns 1 through 8
109.6500 110.9500 112.2500 113.5500 114.8500 116.1500 117.4500
118.7500
Columns 9 through 10 120.0500 121.3500 >> [n,x]=HIST(b) n =
2 1 3 5 2 2 1 1 1 2 x =
Columns 1 through 8
115.6500 116.9500 118.2500 119.5500 120.8500 122.1500 123.4500
124.7500
Columns 9 through 10 126.0500 127.3500 >> [nuhat,muci]=expfit(a) nuhat =
115.1500 muci =
77.6183 188.5152 >> [nuhat, muci]=expfit(b) nuhat =
120.7500 muci =
81.3930 197.6831
>> [muhat,sigmahat,muci,sigmaci]=normfit(a) muhat = 115.1500 sigmahat = 3.8699 muci = 113.3388 116.9612 sigmaci = 2.9430 5.6523
>> %muhat uµÄ¹ÀÖµmuciΪ²ÎÊýuµÄÖÃÐÅÇø¼ä¹À¼ÆµÄ£¬sigmahat Ϊ6µÄ¹À¼ÆÖµ£¬
sigmaci 6µÄÖÃÐÅÇø¼ä
>> [muhat,sigmahat,muci,sigmaci]=normfit(b) muhat = 120.7500 sigmahat = 3.7116 muci = 119.0129 122.4871 sigmaci = 2.8227 5.4211
8.3¸ù¾ÝÑÀ¸àÏúÊÛÁ¿ÓëÏúÊÛ²î¼Û¡¢¹ã¸æ·ÑÓõÈÊý¾Ý£¨¼ûÏÂ±í£©,½¨Á¢ÊýѧģÐÍ,·ÖÎöÑÀ¸àÏúÊÛÓëÆäËüÒòËصĹØϵ,ΪÖƶ©¼Û¸ñ²ßÂԺ͹ã¸æͶÈë²ßÂÔÌṩÊýÁ¿ÒÀ¾Ý.
µÚ 39 Ò³ ¹² 46 Ò³
ÏúÊÛÖÜÆÚ 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 ¹ã¸æ·ÑÓ㨰ÙÍòÔª£© 5.5 6.75 7.25 5.5 7 6.5 6.75 5.25 5.25 6 6.5 6.25 7 6.9 6.80 6.8 7.1 7 6.8 6.5 6.25 6 6.5 7 6.8 6.8 6.5 5.75 5.8 ¼Û¸ñ²î£¨Ôª£© -0.05 0.25 0.60 0 0.25 0.2 0.15 0.05 -0.15 0.15 0.2 0.1 0.4 0.45 0.35 0.3 0.5 0.5 0.4 -0.05 -0.05 -0.1 0.2 0.1 0.5 0.6 -0.05 0 0.05 ÏúÁ¿Á¿£¨°ÙÍòÖ§£© 7.38 8.51 9.52 7.5 9.33 8.28 8.75 7.87 7.1 8 7.89 8.15 9.1 8.86 8.9 8.87 9.26 9 8.75 7.95 7.65 7.27 8 8.5 8.75 9.21 8.27 7.67 7.93 30 6.8 0.55 9.26 ½â£º
Ä£ÐͼÙÉè
¼ÙÉè¸Ã¹«Ë¾µÄ¼Û¸ñ²îÓë¹ã¸æ·ÑÓÃÊÇÏ໥¶ÀÁ¢µÄ£¬»¥²»Ó°Ïì¡£
É裺ÏúÊÛÁ¿Îªy£¬¼Û¸ñ²îx1£¬¹ã¸æ·Ñx2
y=[7.38 8.51 9.52 7.5 9.33 8.28 8.75 7.87 7.1 8 7.89 8.15 9.1 8.86 8.9 8.87 9.26 9 8.75
7.95 7.65 7.27 8 8.5 8.75 9.21 8.27 7.67 7.93 9.26];
y=y.';
x_1=[-0.05 0.25 0.60 0 0.25 0.2 0.15 0.05 -0.15 0.15 0.2 0.1 0.4 0.45 0.35 0.3 0.5 0.5 0.4
-0.05 -0.05 -0.1 0.2 0.1 0.5 0.6 -0.05 0 0.05 0.55];
x_1=x_1.';
x_2=[5.5 6.75 7.25 5.5 7 6.5 6.75 5.25 5.25 6 6.5 6.25 7 6.9 6.80 6.8 7.1 7 6.8 6.5 6.25 6
6.5 7 6.8 6.8 6.5 5.75 5.8 6.8];
x_2=x_2.'; x_4=(x_2).^2;
µÚ 40 Ò³ ¹² 46 Ò³