Question

calculate:

d

Sd

t

A A company wants to determine whether consumer product ratings (0-10) have changed from last year to this year The table below shows the company's producings from eight consumers for last year and this year 0 05, is there enough evidence to conclude that the ratings have changed? Assume the samples are random and dependent, and the population is normally distributed Complete parts (a) through Consumer 1 2 3 4 Rating (last year) 6 5 2 5 Rating (this year) 9 4 2 7 -0.75 (Type an integer or a decimal) Calculate (Type an integer or a decimal Round to three decimal places as needed) () Use the test to find the standardized test statistic

Answer 1

null Hypothesis: alternate Hypothesis: 2.365 for 0.05 level with two tailed test and n-1= 7 degree of freedom, critical value of t= Decision rule : reject Ho if absolute value of test statistic t|>2.365 S. No last year this year difference(d)=x1-x2 SONONOS 9.000000 1.000000 0.000000 4.000000 0.000000 4.000000 0.000000 0.000000 Ed2=18 Id=-6 total mean dbar= -0.750 degree of freedom -n-1 7.000 Std deviaiton Sq=v(Ed-(Ed)?/n)/(n-1) = 1.389 std error=se = S/Vn = 0.491 = (d-ud)/Se = test statistic p value -1.528 0.170

from above dbar =-0.75

sd =1.389

t =-1.528 ~ ( use -1.53 id required to 2 decimal places)