Answer:
Die is not fair given that Pvalue< 0.05, hence we reject Null hypothesis
a) H0: Die = fair
b) Ha : Die ≠ fair
c) df = 5
Step-by-step explanation:
The expected frequency of every face values = 20
a) state Null hypothesis
H0: Die = fair
b) Alternate Hypothesis
Ha : Die ≠ fair
c) degree of freedom
df = ( n - 1 )
= ( 6 - 1 ) = 5
n = sample size ( number of faces a die has )
Note : After conducting hypothesis test
Pvalue ≈ 0.0026
test statistic ≈ 18.30
Hence we can conclude that die is not fair given that Pvalue < 0.05, hence we reject Null hypothesis
Answer:
200 jelly beans
Step-by-step explanation:
2/5 of 500= 200
20% of 500= 100
100+200=300
500-300=200
Answer:
7:9
Step-by-step explanation:
boys:girls
14:18
simplify -- divide by 2
7:9
Answer:
The answers are 54 degrees and 234 degrees
Step-by-step explanation:
mathematically we have the tan positive on only two axes
these are the first (0-90) degrees and the 3rd quadrant (180-270)
We start by find the arc tan of the angle value
Thus;
x = arc tan (1.3562)
x = 54 degrees
On the third quadrant, we have it that;
180 + 54 = 234 degrees
Answer:
6
Step-by-step explanation:
This is calculated as using z score
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Hence,
We find the z score of 95.44% confidence interval
95.44% = 1.9991
Hence.
1.9991 = ( X = 22) - (X = 10)
1.9991 = (22 - 16/ σ) - (10 - 16/ σ)
1.9991 = (6/σ - (-6/σ)
1.9991 = ( 6/σ + 6/σ)
1.9991 = (6 + 6/σ)
1.9991 = 12/σ
Cross Multiply
= 1.9991 × σ = 12
σ = 12/1.9991
= 6.00270121555
Approximately 6
Hence, the standard deviation is 6
