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3 years ago

Which values of P and Q result in an equation with exactly one solution?

Mathematics

2 answers:

amm18123 years ago

8 0

Another question for my impossible math question file.

All of the given pairs of values result in an equation with exactly one solution, as will any pair such that Q≠13 and P≠12.

For Q=13 and P≠12, there is no solution.
For Q=13 and P=12, there will be an infinite number of solutions.

lyudmila [28]3 years ago

3 0

Its all of the answers in that question

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The following table gives results from two groups of students who took a nonproctored test. Use a 0.01 significance level to tes

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Original claim is $\mu_{1} =\mu_{2}$

Opposite claim is $\mu_{1} \neq \mu_{2}$

Null and alternative hypotheses:

$H_{0}:\mu_{1} = \mu_{2}$

$H_{1} : \mu_{1} \neq \mu_{2}$

Significance level: 0.01

Test statistic:

We can use TI-84 calculator to find the test statistic and P-value. The steps are as follows:

Press STAT and the scroll right to TESTS

Scroll down to 2-SampTTest... and scroll to stats.

Enter below information.

$\bar{x_{1}}=70.29$

$Sx1=22.09$

$n_{1} = 30$

$\bar{x_{2}}=74.26$

$Sx2=18.15$

$n_{2} = 32$

$\mu_{1} \neq \mu_{2}$

Pooled: Yes

Calculate.

The output is in the attachment.

Therefore, the test statistic is:

$t=-0.78$

P-value: 0.4412

Reject or fail to reject: Fail to reject

Final Conclusion: Since the p-value is greater than the significance level, we, therefore, fail to reject the null hypothesis and conclude that the there is sufficient evidence to support the claim that the samples are from populations with the same mean.