People tend to evaluate the quality of their lives relative to others around them (Frieswijk et al., 2004). In one study, researchers conducted interviews with n = 9 frail elderly people. During the interview, each person was compared with a fictitious person who was worse off than the elderly person. The scores below are the measures from a life-satisfaction scale for the elderly sample. Assume that the average score on this scale in the population is u = 20. Are the data sufficient to conclude that the elderly people in this sample are either significantly more or less satisfied than others in the general population? The life-satisfaction scores for the sample are 18, 23, 24, 22, 19, 27, 23, 26, 25. a. Which kind of t-test should you use? b. How many tails should the test have? Circle a word or phrase in the problem that told you this. c. State the null and alternative hypotheses in statistical notation: d. Determine the critical t using an alpha = .05. Sketch the null distribution, note the location of the critical t, and shade the critical region. e. Calculate the t-statistic and plot it on the sketch you drew above. f. Make a decision (either reject the null or fail to reject it)
Answers
Answer:
Step-by-step explanation:
Hello!
Research.
n=9 frail elderly were interview and compared to a fictitious person who was worse off then the interviewee, a life-satisfaction score was determined for each person.
18, 23, 24, 22, 19, 27, 23, 26, 25
Assuming that the population average score is μ= 20, the researchers think that the elderly in the sample are more or less satisfied than others in the general population.
a. You have the information of one sample, assuming this sample has a normal distribution and each elderly interviewed is independent, then the t-test of choice is a one-sample t-test.
b. and c. If you say that the elderly are "more or less" satisfied than the others, this means that they are either as satisfied as to the general population or not satisfied as to the general population. Symbolically:
H₀: μ = 20
H₁: μ ≠ 20
This is a two-tailed test, meaning, you will have two critical regions.
d.
α: 0.05
Left critical value:
Right critical value:
e.
X[bar]= 23
S= 3
f.
Considering that the calculated t-value is greater than the right critical value, the decision is to reject the null hypothesis, so using a significance level of 5% you can conclude that the average life-satisfaction score of the elderly is different than 20.
I hope it helps!
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Answer: All expect cos of theta=17/8
Step-by-step explanation: Fist, let find a equal cos equation. let use the idenitiy(Ф+
Ф=1.
+15/17^2=1,
=1-225/289.
=289/289-225/289.
=64/289. sqr root of
= 8/17.
Using Other Formulas, Since secant is the reciprocal of cosine. sec(theta)=17/8. since cosecant is the inverse of sin. csc(theta)=17/15.
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Answers
Answer:
b=4
Step-by-step explanation:
For this question we need to know the formula of slope that is m which is
where are the points
respectively
and hence we have the value of m= -2 which is the slope we simply plug in all the values.
So the value of b=4
Answer:
b is 4
Step-by-step explanation:
Several steps are required to find this answer. You need to use the information you are given as well as the formula y=mx+b. You are given the slope and one of the coordinates. Plug the information into the formula to find b, which is the constant.
The point given is (5,-8)
The slope given is -2
Plug the x and y into y=mx+b
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-8+10=b
b=2
Now that you have the full equation, y=-2x+2 , you can plug in the x-coordinate of the other coordinate to find the missing y-value.
y=-2(-1)+2
y=2+2
y=4
Therefore, the b you are solving for is 4.
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1 0.25$ 1quater
2 0.10$ 2dimes
3 0.01$ 3pennies
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Answers
Answer:
F. 6s > 4s +8
Step-by-step explanation:
From a reference point at the beginning of the track, Ward's car will be located 4s+8 feet down the track after s seconds. That is, it starts 8 feet down the track, and increases its distance by 4 feet every second.
From the same reference point, Heskey's car will be located 6s feet down the track after s seconds. Its distance starts from zero and is increasing at the rate of 6 feet every second.
For Heskey's distance to exceed Ward's distance you want ...
6s > 4s +8 . . . . . . matches choice F