Answer:
C. All mathematics teachers who have taken one or more courses in statistics
Number of toothpicks required per student = At least 9
Total number of students = 30
Number of toothpicks required for the entire class = At least 9 × 30 = At least 270
Number of toothpicks in the bag in the class storage room = 50
Additional number of toothpicks required to be bought to make sure there are enough toothpicks = 270 - 50 = 220
Hence, she needs to buy 220 toothpicks.
Answer: We reject the null hypothesis, and we use Normal distribution for the test.
Step-by-step explanation:
Since we have given that
We claim that
Null hypothesis : 
Alternate hypothesis : 
There is 5% level of significance.
So, the test statistic would be
Since alternate hypothesis is left tailed test.
So, p-value = P(z≤-2.31)=0.0401
And the P-value =0.0401 is less than the given level of significance i.e. 5% 0.05.
So, we reject the null hypothesis, and we use Normal distribution for the test.
Answer:
52 tickets cost $10 and 18 tickets cost $12
Step-by-step explanation:
10x+12y=804. (1)
x+y=70. (2)
From (2)
x=70-y
Substitute x=70-y into (1)
10x+12y=804
10(70-y)+12y=804
700-10y+12y=804
700+2y=804
2y=804-700
2y=104
y=104/2
y=52
Recall
x+y=70
x+52=70
x=70-52
x=18
52 tickets cost $10 and 18 tickets cost $12
