5.3

37問 • 1年前

問題一覧

In formulating the alternative hypothesis, what mathematical symbol is applicable to use in the statement, “The average score of Grade 11 (ABM) in Business Statistics is 75.”?

A vacuum cleaner consumes less than 46 kwh per year. What hypothesis test can you use in this claim?

left-tailed

Which of the following steps is not included in formulating a hypothesis?

Use the data about the sample then compute the test statistic.

The sign of the alternative hypothesis in a left-tailed test is always ________

less than

A scientist invented a substance that increases the life of an automobile battery. If the mean lifetime of the battery is 24 months, then what are his hypotheses?

𝐻𝑜: 𝜇 = 24, 𝐻𝑎: 𝜇 > 24

A researcher reports that the average salary of an accountant is more than ₱40,000. A sample of 30 accountants has a mean salary of ₱42,500. At 𝑎 = 0.05 test, it is found out that an accountant earns more than ₱40,000 a month. The standard deviation of the population is ₱3,000. What is the alternative hypothesis?

The average salary of an accountant is greater than ₱40,000.

What kind of hypothesis is illustrated in the statement below? “There is no significant difference between the average weekly allowances of morning and afternoon students in Mabunga Integrated High School.”

null hypothesis

“The introduction of modern computers affects the performance of the students.” What kind of hypothesis is it?

alternative

Consider this statement: “New cars are expected to last an average of at least three (3) years before needing major service.” Which of the following is the null hypothesis?

𝐻𝑜: µ ≥ 3

Which is the correct null hypothesis of the claim below? “Students take an average of less than five (5) years to graduate from college.”

𝐻𝑜: µ = 5

In the driver’s test, an average of 300 drivers passes on their first try. We want to test if more than an average of 300 passes on the first try. Which inequality symbols are correct (=, ≠, ≥, <, ≤, >) for the null and alternative hypotheses - 𝐻𝑜: µ __ 300 𝐻𝑎: µ __ 300?

= , >

Which of these is a correct alternative hypothesis for a two‐tailed test?

𝐻𝑎: µ ≠ 7

In a commercial, a new diet program would like to claim that their methods result in a mean weight loss of more than 22kgs in two (2) weeks. To determine if this is a valid claim, they hire an agency that then selects 25 people to be placed on this diet. What is the test of the hypothesis?

one-tailed test

A researcher estimated that the average height of a building in the Philippines is at least 150 meters. A random sample of 15 buildings is selected and has the mean of 168 meters. What are the null and alternative hypotheses?

𝐻𝑜: µ ≥ 150, 𝐻𝑎: µ < 150

A survey reported that teenagers spend an average at most four (4) hours each day on social media. The organization thinks that, currently, the mean is higher. Fifteen (15) randomly chosen teenagers were asked how many hours per day do they spend on social media. The sample mean was 4.5 hours with a sample standard deviation of 2.0. What is the test of the hypothesis?

right-tailed test

Teacher A wants to know if mathematical games affect the performance of the students in learning Mathematics. A class of 45 students was used in the study. The mean score was 90 and the standard deviation was 3. A previous study revealed that 𝝁 = 𝟖𝟓 and the standard deviation 𝝈 = 𝟓.

𝑯𝑶 ∶ 𝝁 = 𝟖𝟓 and 𝑯𝒂 ∶ 𝝁 ≠ 𝟖𝟓

A piggery owner believes that using organic feeds on his pigs will yield greater income. His average income from the previous year was ₱120, 000.

𝑯𝑶 ∶ 𝝁 = 𝟏𝟐𝟎, 𝟎𝟎𝟎 and 𝑯𝒂 ∶ 𝝁 > 𝟏𝟐𝟎, 𝟎𝟎𝟎

The average waiting time of all costumers in a restaurant before being served is less than 20 minutes. Determine the hypotheses and the directional test.

𝑯𝑶 ∶ 𝝁 ≥ 𝟐𝟎 and 𝑯𝒂 ∶ 𝝁 < 𝟐𝟎

A used car dealer says that the mean price car in the Philippines is at least ₱350,000.

ONE

PAG-ASA reported that the mean annual rainfall in the Philippines is at most 4,064mm.

ONE

The mean age of students in a university in the previous years was 27 years old. An instructor thinks the mean age for students is older than 27. She randomly surveys 56 students and finds that the sample mean is 29 with a standard deviation of 2.

ONE

The mean work week for engineers in a new company is believed to be about 40 hours. A newly hired engineer hopes that it is shorter. She asks 10 engineering friends for the lengths of their mean work weeks. Based on the results, should she count on the mean work week to be shorter than 40 hours?

ONE

According to the survey, the average cost of visiting doctors is ₱500.

TWO

This hypothesis states that there is no difference between population parameters and the hypothesized value.

null hypothesis

When the value of parameter has significant difference with the hypothesized value, then it is called ________________.

alternative hypothes

The sign of the alternative hypothesis in a left-tailed test is always_________.

less than

If the researcher wishes to test the claim that the mean of the population is 75, the appropriate null hypothesis is:

𝜇 = 75

A researcher thinks that if expectant mothers use vitamins, the birth weight of the babies will increase. The average birth weight of the population is 3.9 kgs. What is the alternative hypothesis?

𝐻𝑎: 𝜇 > 3.9

According to the report, the average weight of a Filipino newborn baby is 2.8 kgs. Mellissa wants to perform a significance test to see if this holds true in her nation. She takes a random sample of babies and observes that the average weight of newborns is 3kgs. What is the null hypothesis?

𝐻𝑎: 𝜇 = 2.8

The mean score of all Grade 11 students is higher than 75.

alternative hypothesis

“The number of defective batteries produced by the company is not equal to 15 batteries a day as claimed by the manager.”

µ ≠ 15

Which is the correct null hypothesis of the given statement? “According to the owner, an average of 500 people buys foods at McDonalds during breakfast and lunch hours.”

𝐻𝑜 = 500

On average, the household electricity consumption in the country was about 248.1-kilowatt-hours in 2015. Electricity was used primarily for lighting purposes, cooking, recreation, and space cooling. Which inequality symbols are correct (=, ≠, ≥, <, ≤, >) for the null and alternative hypotheses: 𝐻𝑜: µ __248.1 𝐻𝑎: µ __ 248.1?

=, ≠

Which is the correct alternative hypothesis for a one-tailed test?

µ < 25

A teacher in Math announced that the mean score of Grade 9 students in the first quarterly assessment in Mathematics was 89 and the standard deviation was 6. One student, who believed that the mean score was less than this, randomly selected 30 students and computed the mean score. What kind of test of hypothesis can describe this?

left-tailed

Determine the null and alternative hypotheses. “It was claimed that the average monthly income of aircraft pilot was ₱116, 714.00. A random sample of 45 pilots is selected and it is found out that the average monthly salary is ₱ 120,000. Using a 0.01 level of significance, can it be concluded that there is an increase in the average monthly income of pilots?”

𝐻𝑜: µ = ₱116, 714.00, 𝐻𝑎: µ > ₱116, 714.00

Which directional test is illustrated in the given problem below? In a recent survey, the average amount of money students have in their wallet is ₱200.00 with standard deviation of 45. A teacher feels that the average amount is lower. She surveyed 80 randomly selected students and found that the average amount is ₱35.

left-tailed

Earth's Subsystem

Gwenneth Dalawampu · 13問 · 2年前

Earth's Subsystem