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A population consists of the four number (2,3,6,9).
Consider all possible samples of size 2 that can be drawn with replacement from this population. Answer the following:
a. List all possible samples of size 2 which can be drawn with replacement from this population.
b. Compute the Population mean.
c. Compute the Population Standard deviation.
d. Find the mean of the sampling distribution.
Ka for ethanoic acid is 1.7 × 10–5 mol dm–3 at 25 °C.
What is the pH of a 0.125 mol dm–3 solution of ethanoic acid at this temperature?
Calculate the rate of heat conduction out of the human body, assuming that the core internal temperature is 37.31 ºC, the skin temperature is 33.49 ºC, the thickness of the tissues between averages 1.46 cm, and the surface area is 1.27 m2. (skin = 0.37W/m⋅°C)
An object falls from a high building and hits the ground in 9.0 seconds ignoring air assistance what is the distance that it fell
The same resistors are arranged in series 3ohms,4ohms and 11ohms.What is the total resistance of the series combination
Create a structure called time. Its three members, all type
int, should be called hours, minutes, and seconds. Write a
program that obtains two time values from the user in
12:59:59 format, stores them in struct time variables,
converts each one to seconds (type int), adds these
quantities, converts the result back to hours-minutes-
seconds, stores the result in a time structure, and finally
displays the result in 12:59:59 forma
An object falls from a high building and hits the ground in 9.0 seconds. Ignoring air resistance, what is the distance that it fell?
DIRECTIONS: In each problem below, give the null and alternative hypothesis and
identify whether it is right-tailed, left-tailed or two-tailed test.
3. A quality control engineer is testing the battery life of a new smartphone. The company
is advertising that the battery lasts 24 hours on full- charge, but the engineer suspects that the
battery life is actually less than that. They take a random sample of 50 of these if their average
battery life is significantly less than 34 hours.
4. In the past, the mean running time for a certain type of radio battery has been 9.6 hours.
The manufacturer has introduced a change in then production method and wants to perform a
hypothesis test to determine whether the mean running time has changed as a result.
5. In a random sample of 400 electronic gadgets, 14 were found to be defective. The
manufacturer wants to claim that more than 5% of all the gadgets are defective. Test this claim at
the 0.01 level of significance.
DIRECTIONS: In each problem below, give the null and alternative hypothesis and
identify whether it is right-tailed, left-tailed or two-tailed test.
1. A newspaper report claims that 30% of all tea-drinkers prefer green tea to black tea.
Leo is office manager at a company with thousands of employees. He wonders if the
newspaper's claim holds true at his company. To find out, Leo asks a simple random sample of
125 tea-drinking employees which they prefer: green tea or black tea.
2. A city had an employment rate of 70%. The mayor pledge to lower this figure and
supported programs to decrease unemployment. A group of citizens wanted to test if the
unemployment rate had actually decreased, so they obtained a random sample of citizens to see
what proportion of the sample was unemployed.
The average amount of rainfall during the summer months is 11.52 inches. A researcher in
PAGASA selects a random sample of 10 provinces and finds that the average amount of
rainfalllast year was 7.42 inches with a standard deviation of 1.3 inches. At 0.01 level
significance, can it be concluded that the mean rainfall last year was below 11.52 inches?
Step
1. State the null and alterative hypothesis
concerning the population mean, "\\mu" and the type of test to be used.
2. Specify the level of significance "\\alpha"
3.State the decision rule.
4. Collect the data and perform calculations.
5.Make a statistical decision.
6. State the conclusion.
#340153 on Dec 2023