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 104.1 and sample standard deviation of 15​, is there evidence that the children have higher​ IQs? Use the a=0.05 level of significance. Complete parts ​(a) through ​(d).b) Calulate the P-value.P-value+_______________(round to three decimal places as needed.c) State the conclusion for the test.Choose the correct Anser below.a. Do not reject H0 becasue the P-value is less than the a-0.05 level of significanceb. Reject H0 because the p-value is greater than the a=0.05 level of significancec. Do not reject H0 because the P-value is less than the a-0.05 level of signifcance.d. Reject H0 because the p-value is less than the a=0.05 level of significance.d) State the conclusion in context of the problem.There (1)_____________sufficient evidence at the a=0.05 level of significance to conclude that mothers who listen to Mozart have children with hogher IQs.(1)__is not___is

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general 9 months ago 5213

In a recent poll of 750 randomly selected​ adults, 589 said that it is morally wrong to not report all income on tax returns. Use a 0.05 significance level to test the claim that 70​% of adults say that it is morally wrong to not report all income on tax returns. Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Use the​ P-value method. Use the normal distribution as an approximation of the binomial distribution.

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general 9 months ago 2864

Pam is an employee at a jewelry kiosk in a mall. If Pam works hard, there is a 75% probability that jewelry profits will equal $400 a day and a 25% probability that jewelry profits will equal $200 a day. If Pam shirks, there is a 25% probability that jewelry profits will equal $400 a day and a 75% probability that jewelry profits will equal $200 a day. Suppose Pam is paid 50% of the daily jewelry profits. What is Pam’s expected gain from working hard?

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general 9 months ago 2283

Mary and Lamar establish a tutoring service at a local mall. They tutor college students in math and English. They charge $40 per hour for tutoring. In the month of January they charged for 200 tutoring hours. The expenses of their business are given in the table below. Expense Amount/Month Rent of Space $4000 Electricity $325 Advertising $375 Using the formula Profit = $40(number of hours) – (expenses) , calculate their profit for the month of January.

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general 9 months ago 7169