Answer:
Q1 = 30.25 minutes
Q2 = 42.5 minutes
Q3 = 40 minutes
Step-by-step explanation:
Given, In Question
- The stem and leaf diagram (key 2 I 1)
Stem | Leaves
2 | 1 3 5 5 5 8
3 | 1 5 6 7 8 9
4 | 2 3 4 6 6 6 8
5 | 2 2 4 5 7 7 8
- We need to find the quartiles Q1, Q2 and Q3. We know that,
Q1 = (1/4)*(n+1)th value
Q2 = (1/2)*(n+1)th value
Q3 = (3/4)*(n+1)th value
where n is the total number of co-workers 26.
- So,
Q1 = (1/4)*(26+1)th value
Q1 = 6.75th value
we need to count the leaves in the plot starting from the first one until we reach the 6.75th value. So, by counting, we conclude that the 6.75th value lies between the 6th and 7th value i.e. 28 and 31.
Q1 = 28 + (31-28)*0.75
= 28 + 2.25
Q1 = 30.25 minutes
- Now, Q2 = (1/2) * (26+1)th value
= 13.5th value.
From the plot, we find that the 13.5th value lies in the middle of the 13th and 14th values i.e. 42 and 43. So,
Q2 = (42+43)/2
= 85/2
Q2 = 42.5 minutes
-
And, Q3 = (3/4)*(26+1)th value
= 20.25th value
From the plot. we find that the 20.25th value lies somewhere between the 20th and 21st value i.e. 52 and 52. So,
Q3 = 40 + (52-52)*0.25
= 40 + 0
Q3 = 40 minutes
Answer:
The answer is C.
Step-by-step explanation:
Amelia = 5x - 13
Elliot = x = 45
total = x + 5x - 13 = 257
Elliot has 45 cans, and Amelia has 212.
Complete Question
It has been found from experience that the mean breaking strength of a particular brand of thread is 9.72 oz with a standard deviation of 1.4 oz. Recently a sample of 36 pieces of thread showed a mean breaking strength of 8.93 oz. Can one conclude at a significance level of (a) 0.05, (b) 0.01 that the thread has become inferior?
Answer:
At both and the conclusion is that the thread has become inferior
Step-by-step explanation:
From the question we are told that
The population mean is
The standard deviation is
The sample size is n = 36
The sample mean is
The null hypothesis is
The alternative hypothesis is
Generally the test statistics is mathematically represented as
=>
=>
So
The p-value obtained from the z- table is
So at
So we reject the null hypothesis,hence we conclude that the thread has become inferior
So at
So we reject the null hypothesis,hence we conclude that the thread has become inferior
Answer:
Step-by-step explanation:
tan(25)=100/x
x=100/tan25