All one question Answer plz??? Question Help A random sample of students at a co
ID: 3233081 • Letter: A
Question
All one question
Answer plz??? Question Help A random sample of students at a college reported what they believed to b thoir heights in inches Then the students measured each others hegtts incertmeters without shoes The data provided are lor the men, with their believed heights converted from inches to centmelers Assume that conditions for less hold Complete parts a and b below Click the icon to view the data a Find a 95% confidence interval for the mean dinerence as measured in centimeters Does it capture 0? What does that show? The 95% confidence interval is CD (Round to three decimal places as needed) v include o, so a hypothesis that the means are equal be rejected The interval Click to select your answer(s).
Explanation / Answer
Answer:
C.
Ho: µdifference =0
Ha: µdifference 0
Test statistic =-2.64
P=0.019
B. Reject Ho. The means of measured and believed heights are significantly different.
Hypothesis Test: Paired Observations
0.00000
hypothesized value
176.26667
mean measured
178.30800
mean believed
-2.04133
mean difference (measured - believed)
2.99365
std. dev.
0.77296
std. error
15
n
14
df
-2.64
t
.0194
p-value (two-tailed)
-3.69916
confidence interval 95.% lower
-0.38351
confidence interval 95.% upper
1.65783
margin of error
95% confidence interval is ( -3.699, -0.384)
The interval does not includes 0, so the hypothesis that the means are equal is to be rejected.
Hypothesis Test: Paired Observations
0.00000
hypothesized value
176.26667
mean measured
178.30800
mean believed
-2.04133
mean difference (measured - believed)
2.99365
std. dev.
0.77296
std. error
15
n
14
df
-2.64
t
.0194
p-value (two-tailed)
-3.69916
confidence interval 95.% lower
-0.38351
confidence interval 95.% upper
1.65783
margin of error