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The average height of students in a freshman class of a certain school has been 149.45 cm with a population standard deviation of 7.74 cm. Is there a reason to believe that there has been a change in the average height if a random sample of 43 students in the present freshman class has an average height of 164 cm? Use a 0.01 level of significance.
Write the six steps in hypothesis testing in each of the following studies. Take note, the p-value is already given.
The average family size in the Philippines was reported as 4.25. A random sample of families in a particular street resulted in the following family sizes:
5, 6, 7, 4, 3, 8, 2 and 9
\At 0.10, is the average family size more than the national average?
(p-value = 0.0961)
Explain at least 10 principles of data visualisation (with respect to Statistics).
Suppose in a dice game, the person who rolls two dice wins if his rolls results in a pair of numbers whose sum is 7 or 11. in how many ways can he or she win?
Determine the given and compute the test statistic of the problem below using Central Limit Theorem, and construct the rejection region for each.
A company claimed that their N95 face mask has a mean filtration efficiency rate of 95%. A group of student researcher wanted to verify this claim. They bought and tested 40 of their N95 face masks. They found out that the average filtration efficiency rate of these face mask was 90% with astandard deviationof 4%. Test the claim at 5% level of significance and assume that the population is approximately normally distributed.
A normally distributed population has a mean of 1,214 and a standard deviation of 122. Find the probability that a single randomly selected element X of the population is between 1,100 and 1,300.
Determine the given and compute the appropriate test statistic of the problem below.
Construct the rejection region of the problem below
In a study of television viewing, the mean number of television program they watched during daytime was 7. A survey was conducted on the random sample of 25 households and found that the mean number of television program they watched during daytime was 5 with a standard deviation of 1.5. Test the hypothesis at 10% level of significance.
The average weekly earnings of a production worker in 2000 were AUD421
421. Suppose a labor researcher wants to test to determine whether this figure is still accurate today.
The researcher randomly selects 56
56 production workers and obtains a representative earnings statement for one week from each. The resulting sample average is AUD434.3
434.3.
Assuming a population standard deviation of AUD31.8
31.8, and a 5% level of significance, determine whether the mean weekly earnings of a production worker have changed.
Determine the critical value zc and z score value z based on the sample data.
The critical value zc =
The z score value z based on the sample data =
The National Steel Company is manufacturing steel wire with an average strength of 50 kilos. The laboratory tests a
random sample of 18 pieces of wires and finds that the mean strength is 48 kilos and the standard deviation is 10 kilos.
Are the results in accordance with the hypothesis that the company produces steel wire with an average strength of 50
kilos? Use 0.10 level of significance.
Ho
Ha
One-Tailed or Two-Tailed
Level of Significance
Critical Value
Draw Critical Region
Decision Rule
Test Statistic
Decision
Interpretation
Parameter, null hypothesis in symbol, alternative hypothesis in symbol, directional or non directional, level of significance,.
1. A company which produces batteries claims that the life expectancy of their batteries is 90 hours. In order to test the claim, a consumer interest group tested a random sample of 40 batteries. The test resulted to a mean life expectancy of 87 hours. Using a 0.05 level of significance, can it be concluded that the life expectancy of their batteries is less than 90 hours? Assume that the population standard deviation is known to be 10 hours.
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