Sam had 8819 grams of salt. He mixed 1715 grams of salt into a pot of soup he was cooking. Before serving the soup, he added 115
1 answer:
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Answer:
y = x +
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 2, 1 ) and (x₂, y₂ ) = (6, 3 )
m = =
=
=
, then
y = x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (6, 3 ) , then
3 = + c ⇒ c = 3 -
=
y = x +
← equation of line
Solution:-
- The population proportion, P = 0.03 ( 3 % )
- The sample proportion, p = 0.058 ( 5.8 % )]
- The sample size , n = 85.
- State the hypothesis:
Null hypothesis : P = 0.03 ( 3 % )
Alternate hypothesis : P ≥ 0.03 ( 3 % )
- The rejection region is defined by the significance level α:
significance α = 0.05
Z-critical = Z_α = Z_0.05
p-value = Z_0.05 = 1.645
- The Z-statistics:
- Compare against the rejection value ( p - value ):
Z-critical = 1.645
Z-test = 1.5132
Z-test < Z-critical ... ( Null not rejected )
- We fail to reject the Null hypothesis, there is not enough evidence to support the manager's claim that the production process is out of control. Hence, we can support that the production process is not out of control.