Two researchers completed the same study when considering the same hypothesis test. Researcher A obtained a p-value of 0.04. Researcher B obtained a p-value of 0.03. Based on this information, the p-value from researcher [answer1] provides stronger evidence against the null and in favor of the alternative.  Use a significance level of 0.05. Researcher A should [answer2] the null hypothesis. Researcher B should [answer3] the null hypothesis. 

Suppose a researcher randomly sampled 980 current college students in Pennsylvania. From this random sample, when separated by sex, the researcher found males spent on average $3,400 on food per year, compared to females who spent on average of $3,000 on food per year. The population of interest is [answer2]. The corresponding parameter symbol is [answer1].  The best estimate for the parameter is [answer3]=$[answer4] Since this survey used [answer5], we [answer6] generalize our findings to the population of interest

A scientific study conducted in 2017 wanted to determine if a person drinking soda attracts more flies than a person drinking water.  The study looked at 62 adult volunteers who were randomly assigned to consume either soda or water. Their attractiveness to flies was measured by counting how many flies approached each person in a one-hour period.  Of the 31 adults assigned to the soda group, they found that the average number of flies was 132.  With the 31 adults assigned to the water group, they found the average number of flies was 130. The correct null and alternative hypotheses for this situation would be: Ho:[answer1][answer2][answer3] Ha:[answer4][answer5][answer6] Assuming the relevant p-value for this test was 0.352, complete the conclusion below: We [answer7] the null hypothesis.  We [answer8] convincing evidence that there is a difference in the mean number of flies that were attracted when comparing soda and water drinkers.

We have access to the complete dataset of all ages (in years) at death for First Ladies of the U.S. who have passed. From this data set we know that the average age at death is 71.7 years. You are interested in how the sample statistics vary for different samples of size n=15 from this population. A sampling distribution is constructed where one of the samples is used to create a bootstrap distribution. This sample has mean: x-bar = 78 years. Below are boxplots of the sample of size n = 15, the sampling distribution, and the bootstrap distribution (although not necessarily in that order!). Use all of the provided information to select the correct reason for each Boxplot identification. Boxplot A is the sampling distribution because it is centered at the [answer1] and has a standard error that is roughly equal to the estimated standard error found with the [answer2]. Boxplot B is the bootstrap distribution because it is centered at the [answer3] and has an estimated standard error that is roughly equal to the standard error found with the [answer4]. Boxplot C is the sample of n = 15 because it is centered at the [answer5] where the sample standard deviation (s) is [answer6] the value of the standard error found with the sampling distribution.

In a study of streams and hard water in the Adirondack Mountains, a researcher wanted to determine if there is a relationship between the water’s pH and its hardness (in grains). From a sample of 172 streams, does the data suggest that there is a positive correlation between pH and hardness of water?  The relevant sample statistic is 0.710 with a standard error of 0.077.  The resulting p-value is 0.000. Correctly complete the p-value interpretation below: The chance of seeing a sample [answer1] of [answer2] or any value [answer3] is 0.000, when assuming the population correlation is [answer4].

We have access to the complete dataset of all ages (in years) at death for First Ladies of the U.S. who have passed. From this data set we know that the average age at death is 71.7 years. You are interested in how the sample statistics vary for different samples of size n=15 from this population.   A sampling distribution is constructed where one of the samples is used to create a bootstrap distribution.    This sample has mean: x-bar = 78 years. Below are boxplots of the sample of size n = 15, the sampling distribution, and the bootstrap distribution (although not necessarily in that order!).  Use all of the provided information to select the correct reason for each Boxplot identification. Boxplot A is the sample of n = 15 because it is centered at the [answer5] where the sample standard deviation (s) is [answer6] the value of the standard error found with the sampling distribution. Boxplot B is the sampling distribution because it is centered at the [answer1] and has a standard error that is roughly equal to the estimated standard error found with the [answer2]. Boxplot C is the bootstrap distribution because it is centered at the [answer3] and has an estimated standard error that is roughly equal to the standard error found with the [answer4].

What would be the charge on an atom of lead which only has 78 electrons?  [sign][magnitude]

Consider an element that has 3 naturally occurring isotopes. The isotopic masses and percent abundances are 53.9396 amu (5.845%), 55.9349 amu (91.754%), and 56.9354 amu.  What is the average atomic mass in amu of X? Show your work and give your answer to 2 decimal places.

Carl Fredricksen raised 80 sheep, then entered into a series of business transactions. He traded all the sheep for goats at an exchange rate of 5 goats for 7 sheep. Next, he exchanged all the sheep for hogs at a rate of 4 goats for 2 hogs weighing 225 lbs. each. He sold all the hogs at a market price of $60.00 per 100.0 lbs. How much money did he make from the 60 goats?  Show your work using dimensional analysis.

For the reaction CaCO3(s) + 2 HCl(aq) →  CaCl2(aq) + CO2(g) + H2O(l) If 78.1 g solid CaCO3 is mixed with 51.6 g HCl. Which one will be the limiting reactant? Show your work and explain your reasoning.