Solution: We are given:

The hypotheses under consideration is:


First let's find the critical value at
.
Since the alternative hypothesis is two tailed, therefore we will have two critical values.
Also, since the population standard deviation is given, therefore we will use standard normal distribution to find the critical value.
Using the standard normal table, the critical values are:

Therefore, decision rule in terms of the critical values of the test statistic is:
Reject the null hypothesis if the calculated value of the test statistic, z is not contained within the critical values,
. Otherwise do not reject the null hypothesis.
9250 pounds en every ton they are 0.0005
Same as original, density = mass / volume, cutting the block in two pieces or any number of pieces doesn't change the density as ratio m/v remains constant.
Answer:
The probability of an eighth grader winning is 1/3
Step-by-step explanation:
Total no. of students = 42
Number of students in 7th grade = 21
Number of students in 8th grade = 14
Number of students in 9th grade = 7
Probability of event = 
So,the probability of an eighth grader winning= 
Hence The probability of an eighth grader winning is 1/3
Step-by-step explanation:
If Alina spends 60% of her monthly income then money left with her in % is 40%
Therefore, her savings= 40%of 35000
= 40/100 × 35000
=Rs14000