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4.. The tensile sLtength of s ﬁtter used in manul'semring eloth is of interest to the pureheser. Previous experi—
ence indicates that the standard deviation of tensile
erenglh is 2 psi. A. rtctdnm sentrite of eight ﬁber
specimens is seiecunl. end the average tensile
strength is found to he 12? psi. {at Test the hypothesis ﬂ'lilt the mean tensile strength equals 125 psi versus the alternative that the
menu esoeetts 12:1 psi. Use or = 111.35. (11) What is the Fuaiue For this test'.’ to} lJiseuss why a onesided alternative was chosen
it: part {a}. (ct) Construct a 95st: lewer conﬁdenee intone] on
the mean lensife strength. 4.9. The output voltage of a power supply is sssurnetl to
he normally distributed. Sinteen ubstmrstions taken
at random on voltage are as follows: 111.35. 9.31]. 19.90.13.516. 11.65. 12.131}. 11.25. 51.53. 11.34.5135. 1121.23. 3.33. 11144. 9.25. 9.35. tun] 111.35. tn] '1'est the hypothesis that the mean voltage
equals 12 1“ against a twosided ultee'ﬂnti‘re using or = {1113.
{1}} Construct a 95% twositttitl conﬁdence interval
on u. to 'E‘est the hypothesis ﬂint tr‘ = 11 using at = nus. ltd] Construct a 95% twosided conﬁdence interval
on o. {e} Constitth e 95% upper mnﬁttence interval on o. {f} Does the assumption of nonunth seem reason—
able fer the output voltage? 4.15. A. random sample of son connecting rod [tins eern tsinsﬁﬁ nomaenforming units. Estitttnte the process
fnwtinn nonconforming. ta) Test the hypothesis that the true tinttinn defec
tiue in this process is nos. Use a: = 11115. [b] Find the P—ttalue forth'ts test. th Construct e 95% upper conﬁdence inten'nl tn:
the true proeess freshen nonmnfonnine. 4.22. Suppose we wish to test the hypoﬂwscs H0: ,u=l5
H]: pqtlﬁ where we lLuuw that 0—1 = 9.1"}. Lt‘ I11: 1mg mam: i5
madly ’30. what Rample sin: must L'K: usnd tn Elmun: Ihat the probability of type II error is no Emmar man
[1H]? Assume that {I = (HIS. ...
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This note was uploaded on 03/16/2012 for the course IEOR 466 taught by Professor Richard during the Spring '12 term at Columbia.
 Spring '12
 Richard

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