in a hypothesis test with hypotheses and , a random sample of 16 elements selected from the population produced a mean of 91.7 and a standard deviation of 4.7. the test is to be made at the 5% significance level. assume the population is normally distributed. what are the critical values of t?

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21-11-2022
Mathematics

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in a hypothesis test with hypotheses and , a random sample of 16 elements selected from the population produced a mean of 91.7 and a standard deviation of 4.7. the test is to be made at the 5% significance level. assume the population is normally distributed. what are the critical values of t?

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MahimZuberi MahimZuberi · Answer 1 · 2022-11-24T05:05:45-05:00

The critical value will be 1.753 when the test is conducted at the 5% significance level and a random sample of 16 elements from the population yielded a mean of 91.7 and a standard deviation of 4.7.

What is critical value?

A crucial value is the test statistic's value that establishes a confidence interval's upper and lower boundaries or the level of statistical significance for a given test. Areas of a test statistic's sampling distribution are defined by the crucial value. Both confidence intervals and hypothesis tests depend on these values. Critical values in hypothesis tests determine whether the outcomes are statistically significant.

Here,

Significance level= 5/100

=0.05

degree of freedom= number of sample-1

=16-1

=15

Critical value = 1.753

The critical value where a random sample of 16 elements selected from the population produced a mean of 91.7 and a standard deviation of 4.7 and the test is to be made at the 5% significance level will be 1.753.

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