What is the appropriate statistical analysis to use: t-test for two independent samples, t-test for dependent...

What is the appropriate statistical analysis to use: t-test for two independent samples, t-test for dependent samples, ANOVA, or chi-square test of independence? Please identify and explain why it is appropriate.

is asking which test should i use for each question below and why

(a) A study was conducted to see whether monetary incentives to use less water during times of drought had an effect on water usage. Sixty single family homeowners were randomly assigned to one of two groups: 1) monetary incentives and 2) no monetary incentives. At the end of three months, the total amount of water usage for each household, in gallons, was measured.

(b) A study was conducted to see whether the mean weight loss is the same for 10 different weight loss programs. Each of the 10 programs had 50 subjects in it. The subjects were followed for 12 months. Weight change for each subject was recorded.

Solutions

Expert Solution

answer:

(a)

there are 2 gatherings and we need to look at methods for perceptions from 2 gatherings and the subjects of the two gatherings were diverse consequently, we utilize t-test for two free examples

(b)

we need to analyze the mean weight reduction in 10 diverse program. so we utilize ANOVA.

the another explanation of the a and b

The restricted examination of fluctuation (ANOVA) is utilized to decide if there are any measurably noteworthy contrasts between the methods for at least three free (random) gatherings.
The restricted investigation of change (ANOVA) is utilized to decide if there are any factually noteworthy contrasts between the methods for at least three free (irrelevant) gatherings.
The two-way ANOVA thinks about the mean contrasts between gatherings that have been part on two autonomous factors (called factors).
The main role of a two-way ANOVA is to comprehend if there is a cooperation between the two autonomous factors on the needy variable.
One-way has one free factor (with 2 levels) and two-way has two autonomous factors (can have numerous levels).

orchestra answered 1 year ago

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