Summative Test in Mathematics, Exams of Physical education

This paper will tell about how much did the students learn from the previous lessons discussed by the teacher. The teacher could check the level of understanding of the students and he or she will be able to reflect on his or her teaching methodology, structure and strategies. For the students, they could take a deeper understanding of what they learned and discussed in the previous topics. They could assess theirselves on how much learning they have acquired in the previous lessons that their teacher have taught. They could also review their lessons to be able to signify that the acquired knowledge that they have in the previous topics are being understood. They could also apply the learned topic in their own experiences for them to become responsible individuals. The topic was done on March 04, 2025 and discussed for one week. The students are high school students. The teacher is a Mathematics major and she really assessed the students way of thinking first before making this test.

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SECOND SUMMATIVE TEST IN STATISTICS AND PROBABILITY
(FOURTH QUARTER)
DIRECTIONS: Choose the letter of the correct answer.
1. The average weight of the whole chickens sold at Tina Market is 1.26 kg. A random sample of 40
chickens shows that the mean weight is 1.34 kg. What is the alternative hypothesis of the problem?
A. 𝜇=1.26 B. 𝜇1.26C. 𝜇 =1.26 D. 𝜇<1.26
2. The level of significance of a certain test is 0.05. What does this mean?
A. The degree of certainty required to reject the alternative hypothesis in favor of the null hypothesis is
0.05.
B. The degree of certainty required to accept the null hypothesis over the alternative hypothesis is 0.05.
C. The degree of certainty required to reject the null hypothesis in favor of the alternative hypothesis is
0.05.
D. The degree of certainty required to reject both of the null and alternative hypotheses is 0.05.
3. In a certain hypothesis testing procedure the rejection region is 𝑧< 1.96. What does this mean?
A. The rejection region is composed of values found on the right side of 1.96 in a normal distribution.
B. The rejection region is composed of values found on the left side of 1.96 in a normal distribution.
C. The rejection region is the value 1.96.
D. The rejection region is composed of values greater than 1.96.
4. A shop owner claims that his shop earns an average of P10 000 a day with a standard deviation of
P850. To test this claim, a random sample of 40 operating days was tested and found that the mean
is P10 450. What is the z-score of the sample mean P 10 450?
A. 1.15 B. 1.83 C. 2.48 D. 3.35
5. A nutritionist wants to estimate the mean amount of junk food that is consumed by teenagers
aged 11 to 14 years in a week. From a random sample of 50 teenagers, the mean amount of junk
food consumption per week is 250 g. What is the parameter in the problem?
A. random sample of 50 teenagers C. mean amount of junk food consumption per week
\B. ages of 11 to 14 years D. mean amount of junk food consumption of teenagers aged 11 to 14 years
6.The area under the normal curve is:
a. 1 b. 0.99 c. 0.95 d. 0.5
7. Calculate the t-statistic for the following given 𝜇 = 12, 𝑋 = 15, s = 4, n = 12
a. 2.6 b. -2.6 c. 2.5 d. -2.5
8.Which of these values is a parameter?
a. x b. t c.
μ
d. z
9.Which of the following are the 95% confidence coefficients?
a.
±
1.645 b.
±
1.96 c.
±
2.33 d.
±
2.58
10.When
α
=0.01, the critical values are:
a.
±
1.645 b.
±
1.96 c.
±
2.33 d.
±
2.58
11.When n
¿
30 and the population standard deviation is not known, what is the appropriate
distribution?
a. z b. t c. r d. p
12.In a t- distribution, the critical values are based on:
a. n b. z c. t d. df
For nos. 12 - 15:
The mean gasoline consumption of 10 cars is 28 liters with a standard deviation of 1.6 liters. Find
the point and the interval estimates using 95% confidence interval level.
13.What is
α
?
a. 95% b. 28 c.1.6 d..05
14.What is the appropriate distribution?
a. z b. t c. p d. s
pf3
pf4

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SECOND SUMMATIVE TEST IN STATISTICS AND PROBABILITY

(FOURTH QUARTER)

DIRECTIONS: Choose the letter of the correct answer.

  1. The average weight of the whole chickens sold at Tina Market is 1.26 kg. A random sample of 40 chickens shows that the mean weight is 1.34 kg. What is the alternative hypothesis of the problem? A. 𝜇 =1.26 B. 𝜇 ≥1.26 C. 𝜇 =1.26 D. 𝜇 <1.
  2. The level of significance of a certain test is 0.05. What does this mean? A. The degree of certainty required to reject the alternative hypothesis in favor of the null hypothesis is 0.05. B. The degree of certainty required to accept the null hypothesis over the alternative hypothesis is 0.05. C. The degree of certainty required to reject the null hypothesis in favor of the alternative hypothesis is 0.05. D. The degree of certainty required to reject both of the null and alternative hypotheses is 0.05.
  3. In a certain hypothesis testing procedure the rejection region is 𝑧< −1.96. What does this mean? A. The rejection region is composed of values found on the right side of −1.96 in a normal distribution. B. The rejection region is composed of values found on the left side of −1.96 in a normal distribution. C. The rejection region is the value −1.96. D. The rejection region is composed of values greater than −1.96.
  4. A shop owner claims that his shop earns an average of P10 000 a day with a standard deviation of P850. To test this claim, a random sample of 40 operating days was tested and found that the mean is P10 450. What is the z-score of the sample mean P 10 450? A. 1.15 B. 1.83 C. 2.48 D. 3.
  5. A nutritionist wants to estimate the mean amount of junk food that is consumed by teenagers aged 11 to 14 years in a week. From a random sample of 50 teenagers, the mean amount of junk food consumption per week is 250 g. What is the parameter in the problem? A. random sample of 50 teenagers C. mean amount of junk food consumption per week \B. ages of 11 to 14 years D. mean amount of junk food consumption of teenagers aged 11 to 14 years 6.The area under the normal curve is: a. 1 b. 0.99 c. 0.95 d. 0.
  6. Calculate the t-statistic for the following given 𝜇 = 12, 𝑋̅ = 15, s = 4, n = 12 a. 2.6 b. -2.6 c. 2.5 d. -2. 8.Which of these values is a parameter?

a. x b. t c. μ^ d. z

9.Which of the following are the 95% confidence coefficients?

a. ± 1.645 b. ± 1.96 c. ± 2.33 d. ± 2.

10.When α =0.01, the critical values are:

a. ± 1.645 b. ± 1.96 c. ± 2.33 d. ± 2.

11.When n¿30 and the population standard deviation is not known, what is the appropriate

distribution? a. z b. t c. r d. p 12.In a t- distribution, the critical values are based on: a. n b. z c. t d. df For nos. 12 - 15: The mean gasoline consumption of 10 cars is 28 liters with a standard deviation of 1.6 liters. Find the point and the interval estimates using 95% confidence interval level.

13.What is α?

a. 95% b. 28 c.1.6 d.. 14.What is the appropriate distribution? a. z b. t c. p d. s

  1. What are the confidence coefficients?

a. ± 1.96 b. ± 2.26 c. ± 2.33 d. ± 2.

16.This refers to an intelligent guess about a population proportion. a. Hypothesis b. Test statistic c. Decision d. Interpretation 17.What mathematical model is appropriate for decision- making? a. Graphical representation c. z-statistic b. Normal curve d. None of these 18.In a z-test of proportions, the computed z lies in the rejection region. This means that: a. The sample proportion is equal to the hypothesized proportion. b. The sample proportion is equal to the population proportion. c. The sample proportion is not equal to the hypothesized proportion. d. The sample proportion is not equal to the population proportion.

19.In a one-tailed z-test of proportions, the comparative statement is 0.35¿0.42.What decision

should be made about H^ o.

a. Reject H^ o c. The sample proportion is greater than the population proportion

b. Accept H^ o d. The sample proportion is less than the population

proportion 20.A manufacturer of IT gadgets recently announced they had developed a new battery for a tablet and claimed that it has an average life of at least 24 hours. What would be the HO? a. μ ≥ 24 b. μ ≤ 24 c. μ >24 d. μ = 24 21.Which scatter plot shows most likely a positive correlation? I II a. I only b. II only c. both I and II d. Neither 22.In terms of strength of association, how do you compare scatter plot I with II? I II a. The strength of association in scatter plot I is greater. b. The strength of association in scatter plot II is greater. c. The strength of association in both scatter plots is the same. d. The strength of association in the scatter plots cannot be compared from the information. 23.Which shows the best estimate of the trend line? a. b. c. d. 24.Which of the bivariate data are most likely positively associated? I. The monthly income and the floor area of the residence of a family II. The number of absences of a student and his academic performance a. I only b. II only c. both d. neither For number 25, refer to the following situation:

  1. A survey reports the mean age at death in the Philippines is 70.95 years old. An agency examines 100 randomly selected deaths and obtains a mean of 73 years with standard deviation of 8.1 years. At 1% level of significance, test whether the agency’s data support the alternative hypothesis that the population mean is greater than 70.95. IV. Determine whether the following situations involve univariate or bivariate data.
  2. A secretary recorded the daily number of patients a doctor has for a month during the General Community Quarantine.
  3. A researcher observed the number of minutes it takes for students to answer a worded problem in Math and the number of hours they spend in studying the subject for a grading period.
  4. A researcher records the number of infected COVID-19 patients and the number of days they spent in the hospital before recovering from the disease.
  5. A housewife finds out that their average electric consumption during the quarantine period costs P 1,230.00.
  6. A group of researchers found out that long hours spent by students in browsing the Facebook application has negative effect on their academic grades. V. Identify the independent and dependent variables in the following statements.
  7. Drinking energy drinks makes people more aggressive.
  8. Spending time with a family dog decreases the amount of stress someone is feeling.
  9. Eating breakfast in the morning increases the ability to learn in school.
  10. A comprehension test was given to students after they had studied textbook material either in silence or with the television turned on.
  11. Some elementary school teachers were told that a child’s parents were college graduates, and other teachers were told that the child’s parents had not finished high school; they then rated the child’s grades.
  12. Workers at a company were assigned to one of two conditions: One group completed a stress management training program; another group of workers did not participate in the training. The number of sick days taken by these workers was examined for the next 2 months.
  13. Students at a University were split into two groups and each received a different text for a philosophy course. Once group received a traditional text book, while the other received an interactive textbook on a tablet computer. After the course, the final exam grades between the two groups of students was compared.
  14. Students watched a cartoon either alone or with others and then rated how funny they found the cartoon to be.
  15. Taking a nap in the afternoon makes people more focused for the rest of the day.
  16. The more time people spend using social media, the less they read books. G O O D L U C K & G O D B L E S S!!!!!