Practice Math Statistics Problems and Master the Concepts

State whether the investigation in question is an observational study or a designed experiment. Justify your answer in each case. The National Association of Colleges and Employers (NACE) compiles information on salary offers to new college graduates and publishes the results in Salary Survey.

Anonym 2021-06-24

Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma. Over a period of months, an adult male patient has taken eight blood tests for uric acid. The mean concentration was $\bar{x} = 5.35 m g / d l$ . The distribution of uric acid in healthy adult males can be assumed to be normal with $σ = 1.85 m g / d l σ = 1.85 m g / d l .$ What conditions are necessary for your calculations?

Tolnaio 2021-06-24

Suppose that you have obtained data by taking a random sample from a population and that you intend to find a confidence interval for the population mean, $μ$ . Which confidence level, 95% or 99%, will result in the confidence interval's giving a more precise estimate of $μ$ ?

illusiia 2021-06-23

You were asked about advantages of using box plots and dot plots to describe and compare distributions of scores. Do you think the advantages you found would exist not only for these data, but for numerical data in general? Explain.

Elleanor Mckenzie 2021-06-23

The pathogen Phytophthora capsici causes bell pepper plants to wilt and die. A research project was designed to study the effect of soil water content and the spread of the disease in fields of bell peppers. It is thought that too much water helps spread the disease. The fields were divided into rows and quadrants. The soil water content (percent of water by volume of soil) was determined for each plot. An important first step in such a research project is to give a statistical description of the data. Soil Water Content for Bell Pepper Study 1591510amp;14amp;15amp;12amp;10amp;14amp;12amp;9amp;10amp;14amp;9amp;10amp;11amp;13amp;10amp;9amp;9amp;12amp;7amp;9amp;amp;11amp;14amp;16amp;amp;11amp;13amp;16amp;amp;11amp;14amp;12amp;amp;11amp;8amp;10amp;amp;10amp;9amp;11amp;amp;11amp;8amp;11amp;amp;13amp;11amp;12amp;amp;16amp;13amp;15amp;amp;10amp;13amp;6 (a) Make a box-and-whisker plot of the data. Find the interquartile range.

postillan4 2021-06-23

Let p be the population proportion for the situation. (a) Find point estimates of p and q, (b) construct 90% and 95% confidence intervals for p, and (c) interpret the results of part (b) and compare the widths of the confidence intervals. In a survey of 1035 U.S. adults, 745 say they want the U.S. to play a leading or major role in global affairs.

Rui Baldwin 2021-06-22

A bank wants to know which of two incentive plans will most increase the use of its credit cards. It offers each incentive to a group of current credit card customers, determined at random, and compares the amount charged during the following six months. What type of study design is being used to produce data?

Isa Trevino 2021-06-21

Is there a relationship between gender and relative finger length? To investigate, a random sample of 452 U.S. high school students was selected. The two-way table shows the gender of each student and which finger was longer on his or her left hand (index finger or ring finger). State the hypotheses for a test of the relationship between gender and relative finger length for U.S. high school students.
$\begin{array}{lc} Gender Longerfinger Longer finger & \begin{array}{lcrr} Female & Male & Total \\ Index finger & 78 & 45 & 123 \\ Ring finger & 82 & 152 & 234 \\ Same length & 52 & 43 & 95 \\ Total & 212 & 240 & 452 \end{array} \end{array}$

usagirl007A 2021-06-21

Analyze the Transylvania effect data by calculating 95% Tukey confidence intervals for the pairwise differences among the admission rates for the three different phases of the moon. How do your conclusions agree with (or differ from) those already discussed? Let $Q_{.05, 3, 22} = 3.56$

Dolly Robinson 2021-06-20

Define the following terms: a. Observational study, b. Designed experiment.

he298c 2021-06-20

Use the information to construct 90% and 99% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. Researchers have calculated the average daily time (in minutes) that Americans spend watching television using time-shifting devices like digital video recorders (DVRs) and other devices. To do so, the group takes a random sample of 30 U.S. adults and obtains the times (in minutes) below. 29 12 23 24 33 24 28 31 18 27 27 32 17 13 17 12 21 32 26 16 28 28 21 24 29 13 20 13 21 27 From past studies, the research council assumes that σσ is 6.5 minutes.

Khadija Wells 2021-06-19

Use the one-standard-deviation $x^{2}$ -test and the one-standard-deviation $x^{2}$ -interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. s=7 and n=26
a. $H_{0} : σ = 5, H_{m a t h r m {a}} : σ > 5, α = 0.01$ .
b. 98% confidence interval.

jernplate8 2021-06-19

Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals. In a survey of 2241 U.S. adults in a recent year, 650 made a New Year's resolution to eat healthier.

glasskerfu 2021-06-19

Use a graphing calculator to construct a 95% confidence interval for a sample of size 30 from a uniform distribution over the interval (0, 1). Take a class poll to determine the percentage of confidence intervals that contain the true mean. Discuss the result in class.

djeljenike 2021-06-19

Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma. Over a period of months, an adult male patient has taken eight blood tests for uric acid. The mean concentration was $\bar{x} = 5.35 mg / dl .$ The distribution of uric acid in healthy adult males can be assumed to be normal, with $σ = 1.85 mg / dl$ .Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error?

tinfoQ 2021-06-18

Although tea is the world’s most widely consumed beverage after water, little is known about its nutritional value. Folacin is the only B vitamin present in any significant amount in tea, and recent advances in assay methods have made accurate determination of folacin content feasible. Consider the accompanying data on folacin content for randomly selected specimens of the four leading brands of green tea. Brand 1234amp; Observations amp;7.9amp;5.7amp;6.8amp;6.4amp;6.2amp;7.5amp;7.5amp;7.1amp;6.6amp;9.8amp;5.0amp;7.9amp;8.6amp;6.1amp;7.4amp;4.5amp;8.9amp;8.4amp;5.3amp;5.0amp;10.1amp;amp;6.1amp;4.0amp;9.6amp;amp;amp;
(Data is based on “Folacin Content of Tea,” J. Amer. Dietetic Assoc., 1983: 627–632.) Does this data suggest that true average folacin content is the same for all brands? a. Carry out a test using $α := .05$ via the P-value method. b. Assess the plausibility of any assumptions required for your analysis in part (a). c. Perform a multiple comparisons analysis to identify significant differences among brands.

Khaleesi Herbert 2021-06-18

Who is more likely to binge drink—male or female college students? The Harvard School of Public Health surveys random samples of male and female undergraduates at four-year colleges and universities about whether they have engaged in binge drinking. What type of study design is being used to produce data?

avissidep 2021-06-17

Assume the sample is from a normally distributed population and construct the indicated confidence intervals for (a) the population variance $σ^{2}$ and (b) the population standard deviation σσ. Interpret the results. The diameters (in inches) of 18 randomly selected bolts produced by a machine are listed. Use a 95% level of confidence.
4.477 4.425 4.034 4.317 4.003 3.760 3.818 3.749 4.240 3.941 4.131 4.545 3.958 3.741 3.859 3.816 4.448 4.206

Emily-Jane Bray 2021-06-16

Let p be the population proportion for the situation. (a) Find point estimates of p and q, (b) construct 90% and 95% confidence intervals for p, and (c) interpret the results of part (b) and compare the widths of the confidence intervals. In a survey of 2202 U.S. adults, 1167 think antibiotics are effective against viral infections.

postillan4 2021-06-16

Refer to the Journal of Experimental Social Psychology (Vol. 45, 2009) study of whether buying gifts truly buys love. Recall that study participants were randomly assigned to play the role of gift giver or gift receiver. Gift receivers were asked to provide the level of appreciation (measured on a 7-point scale where 1 = "not at all" and 7 = "to a great extent") they had for the last birthday gift they received from a loved one. Gift givers were asked to recall the last birthday gift they gave to a loved one and to provide the level of appreciation the loved one had for the gift. The researchers wanted to know if the average level of appreciation is higher for birthday gift givers than for birthday gift receivers. a. Why is this study designed? b. Specify the key elements of the study: experimental unit, response variable, factor, and treatments.

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