Alchemarierubioidn
Answered

IDNStudy.com, ang iyong gabay para sa malinaw at eksaktong mga sagot. Sumali sa aming platform ng tanong at sagot upang makakuha ng eksaktong tugon sa lahat ng iyong mahahalagang tanong.

B Find the length of the interval given the following data: 6. s= 5.3, n= 350, confidence level : 99% sana po may solution​

Sagot :

KizunaHighidn

[tex]\large \bold {SOLUTION}[/tex]

Given values

  • Population Mean = 6
  • Standard Deviation = 5.3
  • Population = 350
  • Confidence Level = 99%

Let the value of α = 0.01

To find the length of an interval, we have to find the difference between the upper and lower interval. That is the given formula for both is the same but each mean is added or subtracted between the quotient of the standard deviation and the square root of the population

For the value of the z-score, refer to the z-score table that corresponds to the confidence level.

[tex]\sf{LCI =( \overline{x } + Z_{ \frac{ \alpha }{2} }( \dfrac{\sigma}{ \sqrt{n} } )) - (\overline{x } - Z_{ \frac{ \alpha }{2} }( \dfrac{\sigma}{ \sqrt{n} } ))}[/tex]

[tex]\sf{LCI =( 6 + 2.576( \dfrac{5.3}{ \sqrt{350} } )) - (6 - 2.576( \dfrac{5.3}{ \sqrt{350} } ))}[/tex]

[tex]\sf{LCI =6.73 - 5.27}[/tex]

[tex]\boxed{\green{\sf{LCI\approx1.46}}}[/tex]

❤

View image KizunaHigh
Natutuwa kami na ikaw ay bahagi ng aming komunidad. Huwag kalimutang bumalik upang magtanong at magbahagi ng iyong karanasan. Ang iyong kaalaman ay mahalaga sa ating komunidad. Para sa mabilis at maasahang mga sagot, bisitahin ang IDNStudy.com. Nandito kami upang tumulong sa iyo.