WorksheetsTesting Hypothesis on Population Mean
Total questions: 15
Worksheet time: 37mins
What is the first step in hypothesis testing?
State the null hypothesis and the alternative hypothesis
Selecting the significance level
Drawing conclusions based on the data
Conducting data analysis
Explain the concept of Type I error in hypothesis testing.
Type I error is the correct rejection of a false null hypothesis.
Type I error is the incorrect rejection of a true null hypothesis.
Type I error is the incorrect acceptance of a true null hypothesis.
Type I error is the correct acceptance of a false null hypothesis.
What is the formula to calculate the test statistic for a population mean hypothesis test?
(sample mean + population mean) / (sample standard deviation / sqrt(sample size))
(sample mean - population mean) / (sample standard deviation / sqrt(sample size))
(sample mean - population mean) * (sample standard deviation / sqrt(sample size))
(sample mean - population mean) / sample standard deviation
Explain the concept of Type II error in hypothesis testing.
Type II error is the correct rejection of a false null hypothesis.
Type II error is the incorrect rejection of a true null hypothesis.
Type II error is the incorrect acceptance of a true null hypothesis.
Type II error is the correct acceptance of a false null hypothesis.
Explain the difference between a one-tailed and two-tailed hypothesis test.
One-tailed tests are more accurate than two-tailed tests.
Two-tailed tests are used for categorical data only.
The difference between a one-tailed and two-tailed hypothesis test lies in the directionality of the alternative hypothesis.
The difference is in the sample size required for each test.
The weight of the average 6th grade student's backpack (with books in it) is 18.4 lbs. The principal of the school thinks that the backpack does not weight 18.4 lbs. What is the null and alternate hypothesis?
H0 = 18.4
Ha = 18.4
H0 = 18.4
Ha > 18.4
H0 = 18.4
Ha < 18.4
H0 = 18.4
Ha ≠ 18.4
Which of the following represents the appropriate null & alternative hypotheses?
The mean height of women is greater than 64"
H₀: μ > 64"
Hₐ: μ ≠ 64"
H₀: μ < 64"
Hₐ: μ > 64"
H₀: p > 64"
Hₐ: p ≠ 64"
H₀: p = 64"
Hₐ: p > 64"
Which of the following is the basis in choosing between one-tailed test and two-tailed test?
Null hypothesis
Composite hypothesis
Alternative hypothesis
None of these
For the 95% confidence level, what is the value for α?
α = .01
α = .05
α = .10
α = .025
The mean height of Grade 11 students is less than 66 inches. Determine if one tailed test or two-tailed test.
One tailed test
Two-tailed test
The mean weight of Grade 11 students is 40 kg. Determine if one tailed test or two-tailed test.
One tailed test
Two-tailed test
We want to test whether the mean height of Grade 11 students is 78 inches. State the alternative hypothesis.
Ha: μ=78
Ha: μ≠78
A one sample t-test is conducted on Ho : μ = 81.6. The
sample has a sample mean = 84.1 , s = 3.1, n = 25, and α = .01.
Reject Ho
Reject Ha
Fail to reject Ho
Fail to reject Ha
According to a report last year, a Matinian household spends an average of ₱360 a day. You took a random sample of 30 households and determined the amount of their allotted budget each day revealing a mean of ₱400 and standard deviation of ₱100. Using 0.01 level of significance and assuming normality over the population, calculate the value of the appropriate test statistic to test if it be concluded that the average amount spent per day by a Filipino household has increased. Show your solution in statement form in your answer sheet.
z≈−2.191
t≈−2.191
t≈2.191
z≈2.191
A drink vending machine is adjusted so that, on average, it dispenses 250ml of fruit juice with a standard deviation of 25ml into a plastic cup. However, the machine tends to go out of adjustment and periodic checks are made to determine the average amount of fruit juice being dispensed. The operator thinks that the amount dispensed is less than 250 ml. So to verify, a sample of 35 drinks is taken to test the adjustment of the machine and a mean of 225 is obtained. For α = 5%, calculate the appropriate test statistics. Show your solution in statement form in your answer sheet.
z≈−5.916
t≈−5.916
t≈5.916
z≈5.916
