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4. The dean of the...

4. The dean of the engineering school at a technical university wants to emphasize the importance of having students who are gifted at reading and writing as well as math. She wants to know if she can accurately claim that graduate students in engineering programs at her school have significantly higher scores on the verbal reasoning section of the GRE (a standardized test used in the admissions process for many graduate programs) than the national average for engineering students. The national average for the verbal reasoning GRE score for engineering students was 150 with a standard deviation of 9. A random sample of 49 engineering graduate students at her school were found to have an average verbal reasoning GRE score of 153.What are the null and alternative hypotheses?H0: μ = 153; Ha: μ ≠ 153

H0: μ = 153; Ha: μ > 153

H0: μ = 150; Ha: μ ≠ 150

H0: μ = 150; Ha: μ > 1505. The Wechsler Adult Intelligence Scale (IQ test) is constructed so that Full Scale IQ scores follow a normal distribution, with a mean of 100, and a standard deviation of 15. The mayor of Smart Town believes the county’s residents are smarter than the national average and wants to use it (the intelligence of the residents) as a marketing tool to bring industries to the area.A researcher is hired to conduct a study to determine whether Smart County’s residents have, on average, higher Full Scale IQs than the population. A random sample of 100 people from Smart County were given the IQ test and were found to have an average Full Scale IQ of 105.What is the value of the test statistic used to determine whether the mean Full Scale IQ score of the Smart County residents is higher than the national average?0.333

−0.333

3.33

−3.336. The dean of the engineering school at a technical university wants to emphasize the importance of having students who are gifted at reading and writing as well as math. She wants to know if she can accurately claim that graduate students in engineering programs at her school have significantly higher scores on the verbal reasoning section of the GRE (a standardized test used in the admissions process for many graduate programs) than the national average for engineering students. The national average for the verbal reasoning GRE score for engineering students was 150 with a standard deviation of 9. A random sample of 49 engineering graduate students at her school were found to have an average verbal reasoning GRE score of 153.After analyzing the data to determine whether the mean verbal reasoning GRE score of the engineering graduate students at the technical university is higher than the national average, the p-value of 0.0099 was obtained. Using a 0.05 significance level, what conclusion can be drawn from the data?Do not reject the null hypothesis. The average verbal reasoning GRE score of the engineering graduate students at the technical university is not higher than the population average.

Do not reject the null hypothesis. The average verbal reasoning GRE score of the engineering graduate students at the technical university is higher than the population average.

Reject the null hypothesis. The average verbal reasoning GRE score of the engineering graduate students at the technical university is not higher than the population average.

Reject the null hypothesis. The average verbal reasoning GRE score of the engineering graduate students at the technical university is higher than the population average.

H0: μ = 153; Ha: μ > 153

H0: μ = 150; Ha: μ ≠ 150

H0: μ = 150; Ha: μ > 1505. The Wechsler Adult Intelligence Scale (IQ test) is constructed so that Full Scale IQ scores follow a normal distribution, with a mean of 100, and a standard deviation of 15. The mayor of Smart Town believes the county’s residents are smarter than the national average and wants to use it (the intelligence of the residents) as a marketing tool to bring industries to the area.A researcher is hired to conduct a study to determine whether Smart County’s residents have, on average, higher Full Scale IQs than the population. A random sample of 100 people from Smart County were given the IQ test and were found to have an average Full Scale IQ of 105.What is the value of the test statistic used to determine whether the mean Full Scale IQ score of the Smart County residents is higher than the national average?0.333

−0.333

3.33

−3.336. The dean of the engineering school at a technical university wants to emphasize the importance of having students who are gifted at reading and writing as well as math. She wants to know if she can accurately claim that graduate students in engineering programs at her school have significantly higher scores on the verbal reasoning section of the GRE (a standardized test used in the admissions process for many graduate programs) than the national average for engineering students. The national average for the verbal reasoning GRE score for engineering students was 150 with a standard deviation of 9. A random sample of 49 engineering graduate students at her school were found to have an average verbal reasoning GRE score of 153.After analyzing the data to determine whether the mean verbal reasoning GRE score of the engineering graduate students at the technical university is higher than the national average, the p-value of 0.0099 was obtained. Using a 0.05 significance level, what conclusion can be drawn from the data?Do not reject the null hypothesis. The average verbal reasoning GRE score of the engineering graduate students at the technical university is not higher than the population average.

Do not reject the null hypothesis. The average verbal reasoning GRE score of the engineering graduate students at the technical university is higher than the population average.

Reject the null hypothesis. The average verbal reasoning GRE score of the engineering graduate students at the technical university is not higher than the population average.

Reject the null hypothesis. The average verbal reasoning GRE score of the engineering graduate students at the technical university is higher than the population average.

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