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suppose the confidence interval was (5.68, 7.92). what is the correct interpretation of this interval?

Sagot :

We are 95% confident that the true slope of the relationship between weight and number of gogles for all piknits lies between 5.68, 7.92.

The population parameter's (1 - α)% confidence interval denotes a probability of (1 -α ) that the interval contains the parameter's true value.

Or, the parameter's (1 -α )% confidence interval means that there is (1 - α)% certainty or confidence that the interval contains the genuine parameter value.

Assume that the weight's 95% confidence interval is (p1, p2).

The mean weight's 95% confidence interval

The likelihood that the true means fall within this range is 0.95.

95 of these intervals will contain the actual mean weight if 100 of these intervals are generated using 100 identical-sized samples.

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Complete question :

Suppose the confidence interval was (5.68,7.92). What is the correct interpretation of this interval? The true slope of the relationship between weight and number of gogles lies between 5.68 and 7.92 We are 95% confident that the true slope for the relationship between weight and number of gogles for our sample of piknits lies between 5.68 and 7.92. There is a 95% chance that the true slope of the relationship between weight and number of gogles lies between 5.68 and 7.92. We are 95% confident that the true slope of the relationship between weight and number of gogles for all piknits lies between 5.68 and 7.92.