Answer:
We can reject the hypothesis at the 0.05 significance level.
Step-by-step explanation:
given that an urn contains a very large number of marbles of four different colors: red, orange, yellow, and green. A sample of 12 marbles drawn at random from the urn revealed 2 red, 5 orange, 4 yellow, and 1 green marble.
H0: All colours are equally likely
Ha: atleast two colours are not equally likely
(Two tailed chi square test at 5% significance level)
color Red Orange Yellow Green total
Observed O 2 5 4 1 12
Expected E 3 3 3 3 12
(O-E)^2/E 0.3333 5.3333 0.3333 5.3333 11.3333
chi square = 11.3333
df =3
p value = 0.010055
Since p < 0.05 we reject H0
We can reject the hypothesis at the 0.05 significance level.

Infinite solutions. This equality is true for any value of n.
a.
Answer: Option 'e' is correct.
Step-by-step explanation:
Since we know that
Discrete data are those data which is countable and it is expressed in exact numerical form.
Continuous data are those data which is lie within the interval and it varies so it does not expressed in exact numerical form.
Here, the number of iphones sold today at an Apple store is countable and it can be expressed in exact numbers.
So, it is considered as discrete.
Hence, Option 'e' is correct.
Answer:
Acute
Step-by-step explanation:
The angle is 5 degrees.
Acute angles are angles between 0-90
Right angles are angles measuring 90 degrees
Obtuse angles are angles between 90-180
Therefore this angle is Acute