In a random sample of 9 cell​

In a random sample of 9 cell​ phones, the mean full retail pricewas ​$522.20 and the standard deviation was ​$191.00. Furtherresearch suggests that the population mean is ​$425.49. Does the​t-value for the original sample fall between -t 0.95 and t 0.95​?Assume that the population of full retail prices for cell phones isnormally distributed. The​ t-value of t=____ does does not??? fallbetween -t 0.95 and t 0.95 because t 0.95=___ ​(Round to twodecimal places as​ needed.)

Answer:

SOLUTION:

From given data,

In a randomsample of 9 cell​ phones, the mean full retail price was ​$522.20and the standard deviation was ​$191.00. Further research suggeststhat the population mean is ​$425.49. Does the​ t-value for theoriginal sample fall between -t 0.95 and t0.95 .

Sample size = = 9

mean = =  425.49

Sample mean =   =522.20

Standard deviation = = 191.00

Degrees of freedom = n – 1 = 9 – 1 = 8

Confidence level = 0.95

= 1 – Confidencelevel

= 1 – 0.95

= 0.05

Critical value

-t0.05,8 = -2.306

t0.05,8   = 2.306

t-test statistic is

t = / ( / )

=  522.20 – 425.49 / ( 191.00 / )

   = 96.71 / 67.528697

= 1.4321318

The t-value of t = 1.43 does fall between -t 0.95 andt 0.95 because t 0.95


 
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