Statistics Review

Consider the situation below. According to the latest WHO data published in 2015 the average life expectancy in the Philippines is 68.5 years. A random sample of 25 recorded deaths in Santa Fe showed a mean life of 70 years with standard deviation of 7 years. Does this seem to indicate that the life span in Santa Fe is not equal to 68.5 years?

Which is an alternative hypothesis (H_A) of the problem?

• µ < 68.5 years

• µ > 68.5 years

• µ = 68.5 years

• µ  ≠ 68.5 years

Consider the situation below. According to the latest WHO data published in 2015 the average life expectancy in the Philippines is 68.5 years. A random sample of 25 recorded deaths in Santa Fe showed a mean life of 70 years with standard deviation of 7 years. Does this seem to indicate that the life span in Santa Fe is not equal to 68.5 years?

Using the table of values above, what is the critical value for the problem?

• 1.711

• 1.708

• 2.064

• 2.060

Consider the situation below. According to the latest WHO data published in 2015 the average life expectancy in the Philippines is 68.5 years. A random sample of 25 recorded deaths in Santa Fe showed a mean life of 70 years with standard deviation of 7 years. Does this seem to indicate that the life span in Santa Fe is not equal to 68.5 years?

What is the CORRECT interpretation of the results if the computed value is 1.071?

• The life span in Santa Fe is significantly equal to 68.5 years

• The life span in Santa Fe is significantly greater than 68.5 years

• The life span in Santa Fe is significantly less than 68.5 years

• There is not enough information to draw a conclusion

Which decisions generalize a CORRECT action regarding a given null hypothesis

                              I.    The null hypothesis is rejected when it is true.

                              II.   The null hypothesis is rejected when it is false.

                              III.  The null hypothesis is accepted when it is true.

• I and II

• I and III

• II and III

• I, II and III

According to the Department of Energy, oil product demand in the Philippines is estimated at 479,433 barrels per day in 2019. It was claimed that the demand will grow in the year 2020. What is the appropriate null hypothesis (H₀) to test the claim)?

Suppose that in 2021, the Department of Health plans to increase the coverage for Sabayang Patak Kontra Polio by 2% from the 2019 by 96% proportion. What should be the appropriate null hypothesis (H₀) for the significance test of the 2021 plan?

Which is NOT a correct generalization about the null hypothesis (H₀) and the alternative hypothesis (H_A) of a significance test.

• H₀ involves equality

• H_A involves inequality

• H_{0 and} H_A  overlap

• H_{0 and} H_A  do not overlap

. The value of the coefficient of correlation r lies between:

• 0 and 1

• -1 and 0

• -1 and +1

• -0.5 and +0.5

What graph best shows correlation? 

• Bar Graph

• Histogram

• Ogive

• Scatterplot

Describe the correlation that exist when as x increases, y increases

• no correlation

• negative correlation

• correlation coefficient

• positive correlation