Summative Test in Statistics and Probability

1. DISTRICT ACHIEVEMENT TEST
STATISTICS AND PROBABILITY
2nd Semester
S.Y. 2021-2022
Name :____________________________Yr./Sec.:____________Date:__________Score:_________
1. What type of test is described by the hypothesis (Ho: µ = 50 and H1: µ > 50)?
A. Left-tailed test C. Right-tailed test
B. Two-tailed test D. No-tailed test
2. A manufacturer claims that the average lifetime of his lightbulbs is three 3 years or 36 months. The standard
deviation is 8 months. Fifty bulbs are selected, and the average lifetime is found to be 32 months. Should the
manufacturer’s statement be rejected at α= 0.01? Make a decision, whether to reject or not to reject the null
hypothesis.
A. Reject Ho and conclude that the average lifetime of the lightbulb is not equal to 32 months.
B. Reject Ho and conclude that the average lifetime of the lightbulb is not equal to 36 months.
C. Accept Ho and conclude that the average lifetime of the lightbulb is equal to 32 months.
D. Accept Ho and conclude that the average lifetime of the lightbulb is equal to 8 months.
3. Mario wants to find out the using time of cellphones of teenagers, he conducted a survey and found out that
out of 75 teenagers, the average playing time is 4 hours. What is the parameter?
A. average playing time of teenagers C. it took 4 hours of using/playing
B. 4 hours a day D. 75 teenagers’ samples
4. In symbol, what is the parameter in the given situation…In 2020 survey in our school, it came out that 96% of
G10 completers enrolled to grade 11. What is the parameter?
A. μ = 96% B. σ = 0. 96 C. p = 0 .96 D. x
̄ = 0.96
5. According to the researcher, the average of Jollibee eaters during lunch hours is 300. What is the correct null
hypothesis for this statement?
A. H0 < 300 B. H0 > 300 C. H0 ≠ 300 D. H0 =300
6. The computed test statistic of a left-tailed given problem is -2.54. If the critical value is z = -2.33, what is the
decision regarding the null hypothesis?
A. The decision is to reject the null hypothesis. C. The decision is to reject the alternative hypothesis.
B. The decision is to accept the null hypothesis. D. The decision is to accept the alternative hypothesis.
7. It is believed that in the coming election 65 % of the voters in the province of Zamboanga del Sur will vote for
the administration candidate for governor. Suppose 713 out of the 1, 150 randomly selected voters indicate
that they would vote for the administration candidate at 0.10 level of significance, find out whether the
percentage of voters for the administration candidate is different from 65 %. Draw the appropriate conclusion.
A. Since H0 is accepted, then there is enough evidence to conclude that the percentage of voters for the
administration candidate is less than 65%.
B. Since H0 is rejected, then there is enough evidence to conclude that the percentage of voters for
the administration candidate is different from 65%.
C. Since H0 is rejected, then there is enough evidence to conclude that the percentage of voters for the
administration candidate is equal to 65%.
D. Since H0 is accepted, then there is enough evidence to conclude that the percentage of voters for the
administration candidate is different from 65%.
8. The Medical Rehabilitation Education Foundation reports that the average cost of rehabilitation for COVID-
19 victims is P 24,672. To see if the average cost of rehabilitation is different at a large hospital, a researcher
selected a random sample of 35 COVID-19 victims and found that the average cost of their rehabilitation is
P25,226. The standard deviation of the population is 3,251. Compute the test value.
A. z = 1.01 C. z = 1.05
B. z = 1.02 D. z = 2.01
9. Nestor Milk Powder is sold in packets with an advertised mean weight of 1.5kgs. The standard deviation is
known to be 184 grams. A consumer group wishes to check the accuracy of the advertised mean and takes a
sample of 52 packets finding an average weight of 1.49kgs. What is the set of hypotheses that should be used
to test the accuracy of advertised weight?
A. H0: μ = 1.5; H1: μ≠1.5 C. H0: x=1.49; H1: x≠1.49
B. H0: μ = 1.5; H1: μ < 1.5 D. H0:x=1.5; H1: x<1.5

2. 10. Based on the Central Limit Theorem, when the sample n is extremely large but unknown variance, which of
the following test statistics is appropriate to use.
A. Two tailed test C. One tailed test
B. T-test D. Z-test
11. SUREBREAK a tire manufacturer, claims than its tires have a mean life of 40,000 kms. A random sample of
45 of these tires were tested and found out that the sample mean is 38, 000 kms. Assuming that the standard
deviation is 2,0000 kms, and the lives of the tires are normally distributed. What is the best statistical tool to
be used?
A. z-test B. T- test C. Population mean D. Standard deviation
13. Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The
organization thinks that, currently, the mean is higher. Fifteen (15) randomly chosen teenagers were asked
how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard
deviation of 2.0. What is the correct conclusion?
A. There is enough evidence to conclude that the mean number of hours is more than 4.75.
B. There is enough evidence to conclude that the mean number of hours is more than 4.5.
C. There is not enough evidence to conclude that the mean number of hours is more
than 4.5.
D. There is not enough evidence to conclude that the mean number of hours is more than 4.75.
14. A house cleaning service claims that it can clean a four-bedroom house in less than 2 hours. A sample of
n = 36 houses is taken, and the sample mean is found to be1.97 hours and the sample standard deviation is
found to be 0.1 hours. Using a 0.05 level of significance.
A. reject the null because the test statistic (-1.8) is < the critical value (-1.64).
B. do not reject the null because the test statistic (-1.8) is < the critical value (-1.64).
C. reject the null because the test statistic (-1.8) is > the critical value (-1.96).
D. do not reject the null because the test statistic (-1.8) is > the critical value (-1.96).
15. Mr Rumpole believes that the mean income of lawyers is now more than Php 65,000.00 per year. Which is
the correct set of hypotheses to test this belief?
A. H0:μ ≥ 65 000; H1: μ < 65 000
B. H0:μ ≤ 65 000; H1: μ > 65000
C. H0:μ = 65 000;H1:μ≠65 000
D. H0:μ < 65 000; H1: μ ≥ 65 000
20. Which of the following consist of two (2) variables can be dependent is the variable that can cause the
dependent variable to change or dependent variable is the variable that is influenced or affected by the
independent variable
A. Regression Analysis C. Bivariate data
B. Pearson Coefficient D. Correlation
21. From the scatterplot shown on the right, which of the following is a valid
observation?
A. as the value of x decreases, the value of y increases.
B. as the value of x increase, the value of y decreases.
C. as the value of x increases, the value of y remains the same.
D. there is no relationship between x and y.
22. Which of the following describes the relationship of scatter plot
illustrated on the right.?
A. Weak, negative association of linear form.
B. Moderate, positive association of linear form.
C. Strong, positive association of linear form.
D. Non-linear association

3. 23. The following data show the scores of five students in Statistics and Physics. Determine if there is a
relationship between the scores in Physics and Statistics. Find the correlation coefficient.
A. r = 0.80 C. r = 0.75
B. r = 0.95 D. r = 0.90
24. In the interpretation of a computed r, what two elements should be emphasized?
A. It focuses on the strength of association that correspond to the range.
B. It focuses on both the direction and strength of correlation.
C. Focuses on the sign of the correlation coefficient.
D. It focuses on the absolute value of the computed value only.
25. The cost of grapes (in pesos per kilogram) and the season of the year. What is the independent variable?
A. grapes C. cost
B. season D. not appropriate