Answer:
H0: μ ≤ 1.30
H1: μ > 1.30
|Test statistic | > 1.833 ; Reject H0
Test statistic = 3.11
Yes
Pvalue = 0.006
Step-by-step explanation:
H0: μ ≤ 1.30
H1: μ > 1.30
Samples, X ; 1.36,1.35,1.33, 1.66, 1.58, 1.32, 1.38, 1.42, 1.90, 1.54
Xbar = 14.84 / 10 = 1.484
Standard deviation, s = 0.187 (calculator)
Decison rule :
|Test statistic | > TCritical ; reject H0
df = n - 1 = 10 - 1 = 9
Tcritical(0.05; 9) = 1.833
|Test statistic | > 1.833 ; Reject H0
Test statistic :
(xbar - μ) ÷ (s/√(n))
(1.484 - 1.30) ÷ (0.187/√(10))
0.184 / 0.0591345
Test statistic = 3.11
Since ;
|Test statistic | > TCritical ; We reject H0 and conclude that water consumption has increased
Pvalue estimate using the Pvalue calculator :
Pvalue = 0.006
Answer:
416 miles
Step-by-step explanation:
78 divided by 3 = 26
26 x 16 = 416
The value of x in the given equation
is 0.03
<u>Step-by-step explanation:</u>
The given equation is that 
<u>The steps to be followed to solve the equation are :</u>
Add the like terms together to reduce the equation in a simplified form.
Here, there are two x terms and they must be reduced to a single term.
For this, add the both terms together so that the equation is simplified into one x term and a constant term.
⇒ 
⇒ 
To eliminate the constant term on the left side of the equation, add 0.1245 on both sides.
⇒ 
⇒ 
Now, the equation is further simplified by dividing 4.15 on both sides,
⇒ 
⇒ 
Therefore, the value of x is 0.03
Answer:
5
Step-by-step explanation: