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Give the value of the calculated test statistic

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Reference no: EM132915025

1.Suppose a random sample of size 36 is selected from a population with mean μ, the value of which is unknown. The sample had a mean of 10.5 and a standard deviation of 12. You are given the following hypotheses:

Ho: μ = 8

HA: μ > 8

If testing at α of 5%, which of the following is the correct decision and conclusion?

None of these choices is correct

As t calculated of 1.25 is less than t critical of 1.69, we reject Ho and conclude there is significant evidence the population mean is greater than 8.

As Z calculated of 1.25 is less than Z critical of 1.645, we reject Ho and conclude there is significant evidence the population mean is greater than 8.

As t calculated of 1.25 is less than t critical of 1.69, we retain Ho and conclude there is no significant evidence the population mean is greater than 8.

As Z calculated of 1.25 is less than Z critical of 1.645, we retain Ho and conclude there is no significant evidence the population mean is greater than 8.

2.A recent newspaper article claims that the mean number of screens per household is greater than 13.2 screens. A random sample of 43 households had a sample mean of 20.1 screens. Assume that the population standard deviation is known to be 3.1 screens. Give the value of the calculated test statistic, correctly rounded to two decimal places.

3.Popular belief is that adults should sleep a recommended 8 hours per night, on average. A recent newspaper article voiced concerns that social media is contributing to sleep deprived adults. To test this opinion, researchers took a random sample of 36 adults and found values for the sample mean and the sample standard deviation. The corresponding calculated test statistic was -3.04. Which of the following is correct, if testing at the 10% level of significance? The hypotheses are:

Ho: μ = 8
Ha: μ < 8

t critical is -1.306, so reject Ho, accept Ha and conclude there is significant evidence that adults are sleep deprived.
Z critical is -1.28, so reject Ho, accept Ha and conclude there is significant evidence that adults are sleep deprived.
t critical is -1.690, so reject Ho, accept Ha and conclude there is significant evidence that adults are sleep deprived.
t critical is -1.306, so retain Ho, and conclude there is no significant evidence that adults are sleep deprived.
Z critical is -1.28, so retain Ho, and conclude there is no significant evidence that adults are sleep deprived.

4.The owner of a flourmill is concerned that new machinery is not filing bags correctly. The bags are supposed to have a population mean weight of 500 grams. A random sample of 191 bags of flour has a mean weight of 503.9 grams. Assume the population standard deviation is known to be 2.6 grams. What is the correct null hypothesis and the correct alternative hypothesis, to test the owner's concern?

Ho: µ = 500 vs Ha: µ ≠ 500
Ho: µ ≠ 500 vs Ha: µ = 500
Ho: µ ≠ 503.9 vs Ha: µ = 503.9
Ho: x ¯ = 500 vs Ha: x ¯ ≠ 500
Ho: µ = 503.9 vs Ha: µ ≠ 503.9

5.A flourmill is concerned that new machinery is not filling bags correctly. The bags are supposed to have a population mean weight of 500 grams. A random sample of 187 bags of flour has a mean weight of 503.8 grams and a standard deviation of 2.9 grams. Give the value of the calculated test statistic, to two decimal places

Reference no: EM132915025

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