Answer:
Value of the test statistic, 
Step-by-step explanation:
Null hypothesis, 
Alternative hypothesis, 
Sample mean, 
Sample size, n = 110
Standard deviation, 
Significance level, 
The value of the test statistics is given by the formula:

Answer: 0.2643
Step-by-step explanation:
Given : The proportion of adults are unemployed : p=0.077
The sample size = 300
By suing normal approximation to the binomial , we have


Now, using formula
, the z-value corresponding to 26 will be :-

Using standard distribution table for z , we have
P-value=

Hence, the probability that at least 26 in the sample are unemployed =0.2643
Answer:
Option A is correct not arithmetic
Explanation:
We have given terms
these terms are not an arithmetic progression because
Arithmetic progression is the sequence of terms in which difference between successive and proceeding terms is same.

we can see the difference between
and
is 
Whereas, the difference between
and
is
.
Answer:
Answer : A
Step-by-step explanation:
The given data is 25 th percentile is 64, 50th percentile is 74 and 75 th percentile is 80.
percentage : 25 50 75
score : 64 74 80
Median:- The median is obtained by first arranging the data in ascending or descending order and applying the following rule.
If the number of observations is odd, then the median is observation
term
If the number of observations is even, then the median is observation and observations.

given n=3, middle term is '74'
In this given data the median is (M) = 74
Interquartile range IQR = median of upper half-median of lower half
= 80-64
= 16
IQR = 16