Question

Question 9 of 14. Step 1 of 1 5/14 Correct A research scholar wants to know how many times per hour a certain rand of virus reproduces the means found to be 64 reproductions and the population standard deviation is known to be 24. Bample of 955 was used for the study constructe 99 fidence merduction per hour for the us Round your store del place

Answer 1

Answer:

Part i)

Given,

T
6.4 ,  $1596157395682_blob.png$2.4 , n=955

$1596157394726_blob.png$0.01

Z_0.005 = 2.58          ( From standard Normal table )

Fa/2

99% Confidence interval for population mean $1596157394749_blob.png$

3+=a/2 + a/Vn

$1596157394769_blob.png$ 6.4$1596157394766_blob.png$2.58* 2.4 / √955

$1596157394761_blob.png$ 6.4 $1596157394772_blob.png$ 0.200

$1596157394775_blob.png$ ( 6.2 , 6.6)

99% confidence interval for the true mean number of reproductions per hour for the virus is ( 6.2 , 6.6)

Part ii)

Sample size require to estimate population mean

Where,

Tabulated value==Z_0.10/2=1.64         ( From standard Normal table)

Margin of error= E=0.14

Population standard deviation()=2.4

⸫n=(1.64*2.4/0.14)^2

⸫n=790.41

Required sample size (n)=790