The distribution of professional baseball player salaries has a mean of $3.2 million. An analyst believes mean salary for teams on the East Coast is different. The analyst randomly selects 50 baseball players on the East Coast and records their annual salaries. The mean salary for the players in the sample is $ with a standard deviation of $2.1 million. A significance test at an alpha level a = 0.05 of produces a P 0.02. What is the correct interpretation of the P-value? Assuming the true mean salary is $3.2 million, there is a 2% probability that the null hypothesis is alone. Assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean by chance alone. Assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean extreme as $3.9 million by chance alone. OAssuming the true mean salary is $3.2 million, there is a 98% probability that a sample mean of S one more extreme will occur by chance alone.

Suppose the annual employer 401K cost per participant is normally distributed with a mean of $770.    If 73.89% of such costs are greater than $370, what is the standard deviation of the annual employer 401K cost per participant?

Do Babies Prefer Speech?Psychologists in Montreal and Toronto conducted a study to determine if babies show any preference for speech over general noise.1 Fifty infants between the ages of 4-13 months were exposed to both happy-sounding infant speech and a hummed lullaby by the same woman. Interest in each sound was measured by the amount of time the baby looked at the woman while she made noise. The mean difference in looking time was 27.79 more seconds when she was speaking, with a standard deviation of 63.18 seconds. Perform the appropriate test to determine if this is sufficient evidence to conclude that babies prefer actual speaking to humming.1Corbeil, M., Trehub, S.E., Peretz, I., “Speech vs. singing; infants choose happier sounds,” Frontiers in Psychology, 25 June, 2013.     State the null and alternative hypotheses.Use μ1 for μd in the response area.   H0:       vs.  Ha:   Calculate the relevant test statistic.Round your answer to three decimal places. t-statistic=…

Carlos and Devon both accepted new jobs at different companies. Carlos's starting salary is $36,000 and Devon's starting salary is $33,000. They are curious to know who has a better starting salary when compared to the salary distributions of their new employers. A website that collects salary information from a sample of employees for a number of major employers reports that Carlos's company offers a mean salary of $51,000 with a standard deviation of $2,000. Devon's company offers a mean salary of $50,000 with a standard deviation of $5,000. Find the z-scores corresponding to each of their starting salaries. Round to two decimal places, if necessary. Provide your answer below:

Taking the family to an amusement park has become increasingly costly according to the industry publication Amusement Business, which provides figures on the cost for a family of four to spend the day at one of America's amusement parks. A random sample of 25 families of four that attended amusement parks yielded a sample mean of $232 and sample standard deviation of $42. A. What is the best point estimate for the average (mean) cost for a family of four to spend the day at an American amusement park? Round your answer to the nearest dollar. Point estimate: $ B. Obtain a 95% confidence interval for the mean cost for a family of four to spend the day at an American amusement park? Round your lower and upper limits to the nearest dollar. Confidence interval: $ to $ C. What is the margin of error for the 95% confidence interval found in part B? Round answer to the nearest

A report about how American college students manage their finances includes data from a survey of college students. Each person in a representative sample of 793 college students was asked if they had one or more credit cards and if so, whether they paid their balance in full each month. There were 500 who paid in full each month. For this sample of 500 students, the sample mean credit card balance was reported to be $825. The sample standard deviation of the credit card balances for these 500 students was not reported, but for purposes of this exercise, suppose that it was $195. Is there convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907, the value reported for all college students with credit cards? Carry out a hypothesis test using a significance level of 0.01. Find the test statistic and P-value.

Mean entry-level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed to be approximately the same. A recruiting office thinks that the mean mechanical engineering salary is actually lower than the mean electrical engineering salary. The recruiting office randomly surveys 50 entry-level mechanical engineers and 60 entry-level electrical engineers. Their mean salaries were $46,100 and $46,700, respectively. Their standard deviations were $3,450 and $4,210, respectively. Conduct a hypothesis test to determine if you agree that the mean entry-level mechanical engineering salary is lower than the mean entry-level electrical engineering salary.Solve the following problems. Use the steps in conducting hypothesis tests.

Energy drinks come in different-sized packages: pouches, small bottles, large bottles, twin-packs, 6-packs, and so on. How is the price related to the amount of beverage? Data collected on a variety of packages revealed a mean size of 140.17 ounces with a standard deviation of 78.23 ounces. The packages had an average price of $3.66 with a standard deviation of $1.50, and the correlation between size and price was r= 0.91. A scatterplot of these data suggested that the assumptions needed for regression were reasonable. a) Interpret the value of r in context. b) Compute the slope of the regression line for predicting the price of an energy drink. Include the proper units in your answer. c) Write the equation for the least-squares regression line for these data. d) If the price was in Euros instead of US dollars, what would be the correlation between size and price? Explain. e) For this model the standard deviation of the residuals was s = 0.26. Explain what that means in context.

The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years for nonwhites. Suppose that you randomly survey death records for people born in 1900 in a certain county. Of the 124 whites, the mean life span was 45.3 years with a standard deviation of 12.7 years. Of the 82 nonwhites, the mean life span was 34.1 years with a standard deviation of 15.6 years. Conduct a hypothesis test at the 0.05 level of significance to see if the mean life spans in the county were the same for whites and nonwhites. a) The null and alternative hypothesis would be: O Ho: pw = PN H: pw > PN H:µw 0.05 d) Make a decision. O Fail to reject the null hypothesis O Reject the null hypothesis e) Write the conclusion. O There is not sufficient evidence to support the claim that whites and nonwhites have different life spans. O There is sufficient evidence to support the claim that whites and nonwhites have different life spans.

Consider the following set of data:Suppose the test statistic turned out to be z = -1.20 (not the correct value). Find a two-tailed p-value for this test statistic. Select one: A. p-value = .6151 B. p-value = .3849 C. p-value = .2302 D. p-value = .1151