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kogti [31]
4 years ago
10

If the null hypothesis is rejected, the researcher concludes that there is sufficient evidence to believe that the difference be

tween the sample statistic and the hypothesized parameter is due only to chance? a. Trueb. Falsec. unknownd. indeterminate
Mathematics
1 answer:
kirill115 [55]4 years ago
6 0

Answer:

b. False.

See explanation below.

Step-by-step explanation:

b. False.

When we have a significant result that means P_v < \alpha where P_v represent the p value for the test and \alpha the significance level assumed at the begin of the hypothesis test.

For this case we have a null hypothesis H0 and an alternative hypothesis H_1 for a parameter of interest let's say \theta, and using the test we conclude thar we reject the null hypothesis, so on this case we need to have that p_v, so then that means that we have a significant difference.

And when we have this situation we can't say that the difference between the sample statistic and the hypothesized parameter is just due to chance, since we are obtaining singificant results that are showing difference between the two values on statistical terms

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vekshin1

Answer:

There is not convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes

Step-by-step explanation:

The null hypothesis is:

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The alternate hypothesis is:

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The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

From a random sample of 41 orders, the mean time was 3.75 minutes with a standard deviation of 1.2 minutes.

This means that n = 41, \mu = 3.75, \sigma = 1.2

The test-statistic is:

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z = \frac{3.75 - 4}{\frac{1.2}{\sqrt{41}}}

z = -1.33

z = -1.33 has a pvalue of 0.0918, looking at the z-table.

0.0918 > 0.05, which means that the null hypothesis is accepted, and that there is not convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes

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