An ice cube tray of negligible mass contains 0.315 kg of water at $17.7}^{\circ$. How much heat must be removed to cool the water to $0.0}^{\circ$ and freeze it?

preprekomW
2021-01-13
Answered

An ice cube tray of negligible mass contains 0.315 kg of water at $17.7}^{\circ$. How much heat must be removed to cool the water to $0.0}^{\circ$ and freeze it?

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Neelam Wainwright

Answered 2021-01-14
Author has **102** answers

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In there a relationship between confidence intervals and two-tailed hypothesis tests? The answer is yes. Let c be the level of confidence used to construct a confidence interval from sample data. Let * be the level of significance for a two-tailed hypothesis test. The following statement applies to hypothesis tests of the mean:

For a two-tailed hypothesis test with level of significance a and null hypothesis${H}_{0}:\mu =k$ we reject Ho whenever k falls outside the $c=1\u2014\alpha $ confidence interval for $\mu $ based on the sample data. When A falls within the $c=1\u2014\alpha $ confidence interval. we do reject ${H}_{0}$ .

For a one-tailed hypothesis test with level of significance Ho :$\mu =k$ and null hypothesiswe reject Ho whenever A falls outsidethe $c=1\u20142\alpha $ confidence interval for p based on the sample data. When A falls within the $c=1\u20142\alpha $ confidence interval, we do not reject ${H}_{0}$ .

A corresponding relationship between confidence intervals and two-tailed hypothesis tests is also valid for other parameters, such as p,$\mu 1\u2014{\mu}_{2},\text{}and\text{}{p}_{1},-{p}_{2}$ .

(a) Consider the hypotheses${H}_{0}:{\mu}_{1}\u2014{\mu}_{2}=O\text{}and\text{}{H}_{1}:{\mu}_{1}\u2014{\mu}_{2}\ne $ Suppose a 95% confidence interval for ${\mu}_{1}\u2014{\mu}_{2}$ contains only positive numbers. Should you reject the null hypothesis when $\alpha =0.05$ ? Why or why not?

For a two-tailed hypothesis test with level of significance a and null hypothesis

For a one-tailed hypothesis test with level of significance Ho :

A corresponding relationship between confidence intervals and two-tailed hypothesis tests is also valid for other parameters, such as p,

(a) Consider the hypotheses

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A sample of 25 circuit boards yields 2 defective boards after testing. What would be confidence interval for the true proportion of circuit boards in the lot from which the sample was drawn? Use the Clopper-Pearson Interval and also a normal approximation interval. In yur own words which do feel is better to use and why?

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