Question

In: Math

Scores: 57, 49, 53, 60, 58, 59, 48, What is the mean of these scores? (round your...

Scores: 57, 49, 53, 60, 58, 59, 48,

What is the mean of these scores? (round your answer to 2 decimal places)
What is the median?
What is the estimated standard deviation of the population based on this sample? (round your answer to 2 decimal places)

Expert Solution

Solution:

Given that

x	x2
57	3249
49	2401
53	2809
60	3600
58	3364
59	3481
48	2304
∑x=384	∑x2=21208

a ) The sample mean is

Mean = (x/ n) )

= ( 57+49+ 53+ 60+ 58+ 59,+48 / 7 )

= 384 / 7

= 54.8571

Mean = 54.8571

b ) Median :
Observations in the ascending order are :
48,49,53,57,58,59,60

Here, n = 7 is even

M = Value of ( n + 1 / 2) Observation.

= Value of ( 7 + 1 / 2) Observation.

= Value of 4^th Observation.

= 57

Median = 57

c ) Population standard deviation =

= ( x² ) - (( x )² / n ) / n )

= 21208- ( 384 /7 )² / 7

= 21208-- 21065.1429 / 7

= 142.8571 / 7

= 2040.82

= 4.5175

Population standard deviation = 4.5175

milcah answered 2 hours ago

Control 5 mg 10 mg 50 51 60 48 51 58 46 49 57 51 53...

Control 5 mg 10 mg 50 51 60 48 51 58 46 49 57 51 53 61 53 52 61 47 46 64 Above are the results of a drug trial. The scores are given for subjects in three different conditions – a placebo control, 5 mg and 10 mg of the drug. Please run the appropriate test in SPSS using p-value or traditional hypothesis testing method and choose the alpha or p-value. If the results are statistically significant, please...

Group A: 60, 57, 53, 42, 44, 48, 54, 39, 52, 45 Group B: 50, 49,...

Group A: 60, 57, 53, 42, 44, 48, 54, 39, 52, 45 Group B: 50, 49, 60, 55, 43, 56, 53, 69, 49, 52 Using Wilcoxen Rank Sum test to test a difference in the medians of the two populations using Alpha= 0.05

Population 1 59 57 77 60 59 64 72 67 Population 2 61 53 84 53...

Population 1 59 57 77 60 59 64 72 67 Population 2 61 53 84 53 69 74 64 73 Can it be concluded, from this data, that there is a significant difference between the two population means? Let d=(Population 1 entry)−(Population 2 entry)d=(Population 1 entry)−(Population 2 entry). Use a significance level of α=0.01α=0.01 for the test. Assume that both populations are normally distributed. 1.State the null and alternative hypotheses for the test 2. Find the value of the standard...

48 51 52 52 53 54 54 54 55 56 58 58 59 61 63 65...

48 51 52 52 53 54 54 54 55 56 58 58 59 61 63 65 65 67 69 70 73 75 75 76 77 77 79 80 81 82 82 Find the 76th percentile Find the 43rd percentile Find the 20th percentile Find the 76th percentile

Population 1 Population 2 51 54 57 51 65 67 68 60 53 58 58 61...

Population 1 Population 2 51 54 57 51 65 67 68 60 53 58 58 61 75 66 72 79 Can it be concluded, from this data, that there is a significant difference between the two population means? Let d=(Population 1 entry)−(Population 2 entry). Use a significance level of α=0.1 for the test. Assume that both populations are normally distributed. Step 1 of 5: State the null and alternative hypotheses for the test. Step 2 of 5: Find the value...

Ages of Presidents at Inauguration 57 61 57 57 58 57 61 54 68 51 49...

Ages of Presidents at Inauguration 57 61 57 57 58 57 61 54 68 51 49 64 50 48 65 52 56 46 54 49 51 47 55 55 54 42 51 56 55 51 54 51 60 62 43 55 56 61 52 69 64 46 54 47 Create a frequency table using the data above Use 7 classes Show the relative and cumulative frequencies List the class boundaries and class mid-points What is the modal class?

2. The following represents 50 test scores on an exam. 49, 48, 51, 50, 53, 52,...

2. The following represents 50 test scores on an exam. 49, 48, 51, 50, 53, 52, 55, 54, 57, 56, 59, 58, 61, 60, 63, 62, 65, 64, 67, 66, 69, 68, 71, 70, 73, 72, 75, 74, 77, 76, 79, 78, 81, 80, 83, 82, 85, 84, 87, 86, 89, 88, 91, 90, 93, 92, 95, 94, 97, 96 Find the position of the median Find the 67th percentile

Page 337, Problems 57, 58, 59 57. Compound Interest If $10,000 is invested at an interest...

Page 337, Problems 57, 58, 59 57. Compound Interest If $10,000 is invested at an interest rate of 3% per year, compounded semiannually, find the value of the investment after the given number of years. (a) 5 years (b) 10 years (c) 15 years 58. Compound Interest If $2500 is invested at an interest rate of 2.5% per year, compounded daily, find the value of the investment after the given number of years. (a) 2 years (b) 3 years (c)...

1. Given the following set of exam scores: 58, 53, 56, 68, 60, 62, 65, 62,...

1. Given the following set of exam scores: 58, 53, 56, 68, 60, 62, 65, 62, 75, 75, 78, 70, 70, 75, 72, 79, 80, 85, 88, 83, 85, 87, 95, 97, 90 (I recommend Excel for all of this) a. Determine the five ranges and the frequency in each range b. Plot, in Excel, a bar graph of frequency vs range. Include a title and axis labels c. Using the same ranges determine the cumulative frequency d. Plot, in...

Here are SPSS file no 1 survival time 43 45 53 56 56 57 58 66...

Here are SPSS file no 1 survival time 43 45 53 56 56 57 58 66 67 73 74 79 80 80 81 81 81 82 83 83 84 88 89 91 91 92 92 97 99 99 100 100 101 102 102 102 103 104 107 108 109 113 114 118 121 123 126 128 137 138 139 144 145 147 156 162 174 178 179 184 191 198 211 214 243 249 329 380 403 511 522 598...