Answer:
a)
: t=13 seconds
: t<13 seconds
b) At α= 0.01, one-tailed critical value is -2.33
c) Test statistic is −2,98
d) since -2.98<-2.33, we can reject the null hypothesis. There is significant evidence that mean pit stop time for the pit crew is less than 13 seconds at α= 0.01.
Step-by-step explanation:
according to the web search, the question is missing some words, one part should be like this:
"A pit crew claims that its mean pit stop time ( for 4 new tires and fuel) is less than 13 seconds."
Let t be the mean pit stop time of the pit crew.
: t=13 seconds
: t<13 seconds
At α= 0.01, one-tailed critical value is -2.33
Test statistic can be calculated using the equation:
where
- X is the sample mean pit stop time (12.9 sec)
- M is the mean pit stop time assumed under null hypothesis (13 sec)
- s is the population standard deviation (0.19 sec.)
- N is the sample size (32)
Then
≈ −2,98
since -2.98<-2.33, we can reject the null hypothesis. There is significant evidence that mean pit stop time for the pit crew is less than 13 seconds at α= 0.01.
Answer:
Everything except the last one about rigid transformations. Rigid transformations change the shape in size or the shape completely.
147.90
Mark brainliest please
Hope this helps you
Answer:
y = x² + 4x - 1
Step-by-step explanation:
y = Ax² + Bx + C
-4 = A(-3)² + B(-3) + C = 9A - 3B + C
-5 = A(-2)² + B(-2) + C = 4A -2B + C
subtract these
1 = 5A - B
B = 5A - 1
4 = A(1)² + B(1) + C = A + B + C
C = 4 - A - B
C = 4 - A - 5A + 1
C = 5 - 6A
-4 = 9A - 3B + C
-4 = 9A - 3(5A - 1) + 5 - 6A
-4 = 9A - 15A + 3 + 5 - 6A
-12 = -12A
A = 1
B = 5(1) - 1 = 4
C = 5 - 6(1) = -1
y = x² + 4x - 1