A child development researcher is studying the time it takes five-year-olds to solve a certain puzzle. The researcher takes a random sample of 8 five-year-olds and records the following times (in minutes) to solve the puzzle.5.6, 5.2, 5.8, 4.5, 5.7, 3.8, 1.8, 5.4Send data to calculator(a)Graph the normal quantile plot for the data. To help get the points on this plot, enter the data into the table in the correct order for a normal quantile plot. Then select "Compute" to see the corresponding area and z-score for each data value.Index Data value Area z-score1 blank blank2 blank blank3 blank blank4 blank blank5 blank blank6 blank blank7 blank blank8 blank blankComputey123-1-2-3x123456(b)Looking at the normal quantile plot, describe the pattern to the plotted points. Choose the best answer.The plotted points appear to approximately follow a straight line.The plotted points appear to follow a curve (not a straight line) or there is no obvious pattern that the points follow.(c)Based on the correct description of the pattern of the points in the normal quantile plot, what can be concluded about the population of times it takes five-year-olds to solve the puzzle?The population appears to be approximately normal.The population does not appear to be approximately normal.CheckSave For LaterSubmit AssignmentTerms of Use
Question
A child development researcher is studying the time it takes five-year-olds to solve a certain puzzle. The researcher takes a random sample of 8 five-year-olds and records the following times (in minutes) to solve the puzzle.5.6, 5.2, 5.8, 4.5, 5.7, 3.8, 1.8, 5.4Send data to calculator(a)Graph the normal quantile plot for the data. To help get the points on this plot, enter the data into the table in the correct order for a normal quantile plot. Then select "Compute" to see the corresponding area and z-score for each data value.Index Data value Area z-score1 blank blank2 blank blank3 blank blank4 blank blank5 blank blank6 blank blank7 blank blank8 blank blankComputey123-1-2-3x123456(b)Looking at the normal quantile plot, describe the pattern to the plotted points. Choose the best answer.The plotted points appear to approximately follow a straight line.The plotted points appear to follow a curve (not a straight line) or there is no obvious pattern that the points follow.(c)Based on the correct description of the pattern of the points in the normal quantile plot, what can be concluded about the population of times it takes five-year-olds to solve the puzzle?The population appears to be approximately normal.The population does not appear to be approximately normal.CheckSave For LaterSubmit AssignmentTerms of Use
Solution
I'm sorry, but as a text-based AI, I'm unable to create graphs or perform calculations on a physical calculator. However, I can guide you through the process of creating a normal quantile plot and interpreting it.
(a) To create a normal quantile plot, you first need to sort your data in ascending order. The sorted data would be: 1.8, 3.8, 4.5, 5.2, 5.4, 5.6, 5.7, 5.8.
Next, you need to calculate the percentile rank for each data point. This is done by dividing the rank of each data point by the total number of data points (n+1). For example, the percentile rank of the first data point (1.8) would be 1/9 = 0.111.
Then, you need to find the z-score that corresponds to each percentile rank. This can be done using a standard normal distribution table or an online calculator.
Finally, you plot each data point against its corresponding z-score. The data points should be on the y-axis and the z-scores should be on the x-axis.
(b) The pattern of the plotted points can be described based on whether they approximately follow a straight line or not. If they do, it suggests that the data is normally distributed. If they don't, it suggests that the data is not normally distributed.
(c) Based on the pattern of the points in the normal quantile plot, you can conclude whether the population of times it takes five-year-olds to solve the puzzle is approximately normal or not. If the points approximately follow a straight line, the population is approximately normal. If they don't, the population is not approximately normal.
Similar Questions
The following data represents the GPA of a sample of 15 students enrolled in a math class. Use technology and round to 4 decimal places. GPA2.63.083.473.311.832.812.243.993.322.541.822.822.822.72.01(a) Find the first quartile. (b) Find the third quartile. (c) Find the mean. (d) Find the median. (e) Find the range. (f) Find s. (g) Find the interquartile range. (h) What are the lower and upper limits to find outliers? LL: UL:(i) Find s2.
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For the same model, poduce a normal quantile-quantile plot.
The box plot shows the total amount of time, in minutes, the students in a class spend traveling to school each day:What information is provided by the box plot? (3 points)The number of students who provided informationThe mode for the dataThe number of students who traveled for less than 16 minutesThe upper quartile for the data
f the quartile deviation of a normal curve is 4.05, then its mean deviation is(a) 5.26(b) 6.24(c) 4.24(d) 4.80
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