presentation in Hypothesis Testing Statistics and Probability 11

1. INFERENTIAL STATISTICS

2.  Statistical Hypothesis – an assertion or a
conjecture about one or more populations.
 Hypothesis Testing – is gaining wide
acceptance in many situations where
decisions have to be carefully made.A
decision-making process for evaluating
claims about a population based on the
characteristics of a sample purportedly
coming from that population

3.  Null Hypothesis – denoted by 𝐻0 , is a
statement that there is no difference
between a parameter and a specific value.
 Alterative Hypothesis – denoted by 𝐻1, is a
statement that there is a difference between
a parameter and a specific value.

4.  Non-directional (Two-tailed Test) – when the
hypothesis utilizes the symbol ≠.
 Directional (One-tailed test) – when the
hypothesis utilizes the symbol < (left-tailed)
or > (right-tailed)

5.  Specify the Null Hypothesis.
 Specify the Alternative Hypothesis.
 Set the Significance Level (a)
 Calculate the Test Statistic
 Drawing a Conclusion.

7. 1. A researcher used a developed problem
solving test to randomly selected 50 Grade 6
pupils. In this example, 𝑿=80 and s=10. The
mean µ and the standard deviation of the
population used in the standardization of the
test were 75 and 15, respectively. Use the
95% confidence level to answer the following
questions:
a. Does the sample mean differ
significantly from the population mean?
b. Can it be said that the sample is above
average?

8. The owner of a factory that sells a
particular bottled juice claims that the
average capacity of their product is 250
ml. To test the claim, a consumer group
gets a sample of 100 such bottles,
calculates the capacity of each bottle,
and then finds the mean capacity to be
248 ml. The standard deviation is 5ml.
Using 95% confidence level, is the claim
true?