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3. The Senior High School researchers claim that more than 20% of Senior High
School male students have tried smoking cigarette. After collecting 150 random
samples, they found that 60 of them have tried smoking cigarette.
Claim:
Parameter
Symbol for parameter
Ho and Ha complementary pair.
Hypotheses in words:
Ho
Ha:
Hypotheses in symbols
Ho
На:
4. In a certain town a school principal hypothesized that students enroll in schools
within 5 km from their homes. To check this claim you ask 38 students from
the said town. You found out that the average distance between the students
home and their schools is 5.6 km.
Claim:
Parameter
Symbol for parameter
Ho and Ha complementary pair.
Hypotheses in words:
Ho
Ha:
Hypotheses in symbols
Ho
На:
What is the probability that, for the sample of 115 customers, the proportion who wait longer than five days for their order to be delivered is less than 13.75%? Interpret your answer
A shop owner claims that on average, his shop has a daily turnover of R75 000. Test this claim at the 5% significance level, if the average daily turnover for a sample of 88 days was R71 500. Assume a population standard deviation of R4 450.
The CEO of Global Investment Funds claims that, on average, clients leave their investment funds with the company for a period of at least 56 months. Test this claim at the 10% significance level, if it was found that a sample of 29 clients left their investment funds with the company for an average period of 58.85 months, with a standard deviation of 3.75 months
A large manufacturing company claims that more than 88% of its customers are fully satisfied with the company’s products. Test this claim at the 5% significance level, if a survey found that 360 out of a random sample of 400 of the company’s customers said that they were fully satisfied with the company’s products.
Given the following information, construct the rejection region. Show the solution in
a step-by-step procedure.
H 0 : = 45
H a : < 45
= 40, = 12, n = 32, = 0.01
II. Determine if one-tailed test or two-tailed test fits the given alternative hypothesis.
1. The mean height of Grade 12 students is less than 66 inches.
Answer: ___________________________
2. The standard deviation of their height is not equal to 5 inches.
Answer: ___________________________
3. Male Grade 7 and Grade 12 students differ in height on average.
Answer: ___________________________
4. The proportion of senior male students’ height is significantly higher than the senior female students.
Answer: ___________________________
5. The average grade of Grade 11 students in Statistics is lower than their average grade in Calculus.
Answer: ___________________________
I. State the null and alternative hypothesis for each statement.
1. A light bulb manufacturer claims that the mean life of a certain type of light bulb is more than 750 hours.
H0: _____
Ha: _____
2. A study claims that the mean survival time for certain cancer patients treated immediately with chemotherapy and radiation is 24 months.
H0: _____
Ha: _____
3. A medical trial is conducted to test whether or not a new medicine reduces uric acid by 50%.
H0: _____
Ha: _____
4. We want to test whether the general average of students in Math is different from 80%.
H0: _____
Ha: _____
5. We want to test whether the mean height of Grade 8 students is 58 inches.
H0: _____
Ha: _____
a seller claim that her lip tint has a mean organic content of 90%. A rival seller asked 60 users of that lip tint and found that it has a mean organic content of 85% with a standard deviation of 5%. test the claim at 1% level of significance and assume tha the population is approximately normally distributed
A chemical company alleged that the average weight of the bag of chemical is 30kgs. with a standard deviation of 1.1 kgs. A sample of 26 bags was taken and revealed a mean weight of 28.9 kgs. Shall we accept the allegation of the chemical company? Use .01 level of significance
#339914 on Dec 2023