A psychologist obtains a random sample of 20 mothers in the first trimester of their pregnancy. The mothers are asked to play Mozart in the house at least 30 minutes each day until they give birth. After 5 years, the child is administered an IQ test. It is known that IQs are normally distributed with a mean of 100. If the IQs of the 20 children in the study result in a sample mean of 104.6 and sample standard deviation c a = 0.05 level of significance. 15.9, is there evidence that the children have higher IQs? Use the What type of hypothesis test is appropriate conduct for this research? O A. Hypothesis test on a population standard deviation O B. Hypothesis test on a population proportion O C. Hypothesis test on a population mean Determine the null and alternative hypotheses. Họ: H1: (Type integers or decimals. Do not round.)

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A psychologist obtains a random sample of 20 mothers in the first trimester of their pregnancy. The mothers are asked to play Mozart in the house at least 30 minutes each day until they give birth. After 5 years, the child is administered an IQ test. It is known that IQs are normally distributed with a mean of 100. If the IQs of the 20 children in the study result in a sample mean of 104.6 and sample standard deviation of 15.9, is there evidence that the children have higher IQs? Use the \(\alpha = 0.05\) level of significance.

What type of hypothesis test is appropriate to conduct for this research?

- \( \bigcirc \) A. Hypothesis test on a population standard deviation
- \( \bigcirc \) B. Hypothesis test on a population proportion
- \( \bigcirc \) C. Hypothesis test on a population mean

Determine the null and alternative hypotheses.

- \[ H_0: \quad \text{[select value]} \]
- \[ H_1: \quad \text{[select value]} \]

(Type integers or decimals. Do not round.)

\[ \bigcirc \]μ > \[ \bigcirc \]=
\[ \bigcirc \]< \[ \bigcirc \]≠
Transcribed Image Text:A psychologist obtains a random sample of 20 mothers in the first trimester of their pregnancy. The mothers are asked to play Mozart in the house at least 30 minutes each day until they give birth. After 5 years, the child is administered an IQ test. It is known that IQs are normally distributed with a mean of 100. If the IQs of the 20 children in the study result in a sample mean of 104.6 and sample standard deviation of 15.9, is there evidence that the children have higher IQs? Use the \(\alpha = 0.05\) level of significance. What type of hypothesis test is appropriate to conduct for this research? - \( \bigcirc \) A. Hypothesis test on a population standard deviation - \( \bigcirc \) B. Hypothesis test on a population proportion - \( \bigcirc \) C. Hypothesis test on a population mean Determine the null and alternative hypotheses. - \[ H_0: \quad \text{[select value]} \] - \[ H_1: \quad \text{[select value]} \] (Type integers or decimals. Do not round.) \[ \bigcirc \]μ > \[ \bigcirc \]= \[ \bigcirc \]< \[ \bigcirc \]≠
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