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 thet-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