In May 2025
Search & Filtering
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 =
Identify the surface of the z2 = 4 + 4r2 by converting them into equations in the Cartesian form. Show the complete solutions.
Each side of a marble tile is 16 cm long.How many tiles are needed to cover an area of 5120 square meter
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
How many strings of eight uppercase English letters are there
a) that start with X, if no letter can be repeated?
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.
A bank Manager wishes to provide a prompt service to customers at the bank derive up windows. The bank currently can serve up to 10 customers per 15 minutes period without significant delay. The average arrival rate is 7 customers per 15 minutes period. Let 𝑥 be the number of customers arriving per 15 minutes period. Assuming that 𝑥 has a Poisson distribution. a) Find
i. The probability that 10 customers will arrive in a particular 15 minutes period. ii. The probability that 10 or fewer customers will arrive in a particular 15 minutes period.
b) Find the probability that there will be a significantly delay at the derive up window. That is to find the probability that more than 10 customers will arrive during a particular 15 minutes period.
Parameter, null hypothesis in symbol, alternative hypothesis in symbol, directional or non directional, level of significance,. 1. A college dean claims that a bachelor's degree should be earned in an average of five years. Test the claim using 95% confidence level.
2. The young engineers in a manufacturing company claim that the mean annual income is greater than php 500,000. Test the claim using 95% confidence level
a tank whose ends are isosceles right triangle region with each 2m wide across the top and 1m high. find the force due to liquid trough if it is full of water
