The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of
12611261
chips and a standard deviation of
118118
chips. (a) Determine the
2525th
percentile for the number of chocolate chips in a bag. (b) Determine the number of chocolate chips in a bag that make up the middle
9595%
of bags.
(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate chip cookies?
(a) The
2525th
percentile for the number of chocolate chips in a bag of chocolate chip cookies is
11821182
chocolate chips.
(Round to the nearest whole number as needed.)
(b) The number of chocolate chips in a bag that make up the middle
9595%
of bags is
14831483
to
15621562
chocolate chips.
(Round to the nearest whole number as needed. Use ascending order.)
Answer for all parts please.
In: Math
Year/Number of Years Since 1971/Number of stores
1971 |
0 |
1 |
1987 |
16 |
17 |
1988 |
17 |
33 |
1989 |
18 |
55 |
1990 |
19 |
84 |
1991 |
20 |
116 |
1992 |
21 |
165 |
1993 |
22 |
272 |
1994 |
23 |
425 |
1995 |
24 |
677 |
1996 |
25 |
1015 |
1997 |
26 |
1412 |
1998 |
27 |
1886 |
1999 |
28 |
2498 |
2000 |
29 |
3501 |
2001 |
30 |
4709 |
2002 |
31 |
5886 |
2003 |
32 |
7225 |
2004 |
33 |
8569 |
2005 |
34 |
10241 |
2006 |
35 |
12440 |
2007 |
36 |
15011 |
2008 |
37 |
16680 |
2009 |
38 |
16635 |
2010 |
39 |
16858 |
2011 |
40 |
17003 |
2012 |
41 |
18066 |
2013 |
42 |
19767 |
2014 |
43 |
21366 |
2015 |
44 |
22519 |
1980, 1990, 2000, 2010, 2020, 2030, 2040, 2050
In: Math
obs gpa iq gender concept 1 7.94 121 2 69 2 8.292 120 2 71 3 4.643 111 2 44 4 7.47 106 2 44 5 8.882 108 1 69 6 7.585 98 2 72 7 7.65 121 2 53 8 2.412 75 2 26 9 6 109 1 47 10 8.833 122 2 64 11 7.47 109 1 46 12 5.528 106 1 62 13 7.167 105 2 53 14 7.571 89 1 68 15 4.7 85 1 62 16 8.167 117 1 50 17 7.822 119 1 46 18 7.598 98 1 64 19 4 100 2 35 20 6.231 104 1 49 21 7.643 129 2 50 22 1.76 98 2 43 24 6.419 109 1 44 26 9.648 128 2 53 27 10.7 126 1 72 28 10.58 123 2 51 29 9.429 120 2 65 30 8 96 2 57 31 9.585 126 2 67 32 9.571 134 1 68 33 8.998 124 1 51 34 8.333 122 1 53 35 8.175 104 2 60 36 8 118 2 46 37 9.333 112 1 62 38 9.5 125 2 67 39 9.167 114 2 61 40 10.14 111 1 65 41 9.999 133 1 55 43 10.76 106 2 95 44 9.763 109 2 72 45 9.41 121 2 65 46 9.167 119 2 84 47 9.348 109 2 43 48 8.167 88 2 55 50 3.647 82 2 41 51 3.408 89 1 56 52 3.936 111 2 30 53 7.167 104 2 71 54 7.647 114 2 59 55 .53 81 2 16 56 6.173 74 2 42 57 7.295 101 2 72 58 7.295 123 1 65 59 8.938 124 1 55 60 7.882 96 1 32 61 8.353 118 2 68 62 5.062 102 2 45 63 8.175 121 2 65 64 8.235 115 2 56 65 7.588 113 2 71 68 7.647 112 2 47 69 5.237 79 1 28 71 7.825 96 2 48 72 7.333 95 1 64 74 9.167 100 2 90 76 7.996 106 2 56 77 8.714 101 1 65 78 7.833 102 1 63 79 4.885 88 2 52 80 7.998 118 1 74 83 3.82 89 2 56 84 5.936 88 1 73 85 9 93 1 65 86 9.5 122 1 88 87 6.057 102 2 52 88 6.057 101 1 61 89 6.938 117 2 39
The data from data216.dat contains information on 78 seventh-grade students. We want to know how well each of IQ score and self-concept score predicts GPA using least-squares regression. We also want to know which of these explanatory variables predicts GPA better. Give numerical measures that answer these questions. (Round your answers to three decimal places.)
(Regressor: IQ) R 2 =
(Regressor: Self-Concept) R 2 =
Which variable is the better predictor?
-IQ
-Self Concept
In: Math
In California, we need more rain to sustain the health of our natural environment, argriculture, and economic. A group of statistics students in Oxnard College recorded the amount of rain during 2016-2017 school year, measuring the intensity by the inches of rain, and the results were:
Inches of Rain | 1 | 2 | 3 | 4 | 5 | 6 |
---|---|---|---|---|---|---|
Frequency | 2 | 4 | 3 | 3 | 7 | 3 |
The mean (¯xx¯) rain intensity: ____ inches (Please show your
answer to 1 decimal place.)
The median rain intensity: ____ inches
The mode rain intensity: _____ inches (Please separate your answers
by ',' in bimodal situation. Enter DNE if there is no mode.)
In: Math
In Lesson Ten you’ve worked with techniques for conducting hypothesis tests for two means or two proportions. Work through the following exercise.
Two types of medication for hives are being tested. The manufacturer claims that the new medication B is more effective than the standard medication A and undertakes a comparison to determine if medication B produces relief for a higher proportion of adult patients within a 30-minute time window. 20 out of a random sample of 200 adults given medication A still had hives 30 minutes after taking the medication. 12 out of another random sample of 200 adults given medication B still had hives 30 minutes after taking the medication. The hypothesis test is to be carried out at a 1% level of significance.
State the null and alternative hypotheses in words and in statistical symbols. (3 points)
What statistical test is appropriate to use? Explain the rationale for your answer. (3 points)
Would the test be right-tailed, left-tailed or two-tailed? Explain the rationale for your answer. (3 points)
Describe an outcome that would result in a Type I error. Explain the rationale for your answer. (3 points)
Describe an outcome that would result in a Type II error. Explain the rationale for your answer. (3 points)
In: Math
The table below gives the age and bone density for five randomly selected women. Using this data, consider the equation of the regression line, yˆ=b0+b1xy^=b0+b1x, for predicting a woman's bone density based on her age. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.
Age | 4848 | 5151 | 5656 | 6060 | 6969 |
---|---|---|---|---|---|
Bone Density | 351351 | 320320 | 318318 | 311311 | 310310 |
Table
Copy Data
Step 1 of 6 :
Find the estimated slope. Round your answer to three decimal places.
In: Math
A political committee consists of eight Democrats and five Republicans. A subcommittee of nine people needs to be formed from this group. (For this problem, define a success as a Democrat being selected for the subcommittee.) a. Determine the probability that this subcommittee will consist of five Democrats and four Republicans if they were randomly selected. b. Calculate the mean and standard deviation of this distribution. a. The probability that this subcommittee will consist of five Democrats and four Republicans if they were randomly selected is nothing. (Round to four decimal places as needed.) b. The mean of this distribution is nothing. (Round to three decimal places as needed.) The standard deviation of this distribution is nothing. (Round to three decimal places as needed.)
In: Math
Please find the range, sample standard deviation and inter-quartile range (IQR) of the following data set using TI-84.
34 | 41 | 44 | 46 | 46 | 50 | 54 | 69 | 80 | 96 |
range = _____ (Please enter an exact answer.)
standard deviation (ss) = _______ (Please show your answer to one
decimal place.)
Inter-Quartile-Range (IQR) = ________ (Please enter an exact
answer.)
A new number, 112, is added to the data set above. Please find the
new range, sample standard deviation and IQR of the new data
set.
range = ____ (Please enter an exact answer.)
standard deviation (ss) = ______ (Please show your answer to one
decimal place.)
IQR = _____ (Please enter an exact answer.)
Which measure of spread is less affected by the addition of the
extreme observation?
In: Math
A researcher conducts an independent-measures study. One sample of individuals serves as a control group and another sample serves as a treatment group. The researcher hypothesizes that the two samples will be different on the dependent variable.
The data are as follows:
Control | Treatment |
n = 6 | n = 9 |
M = 56 | M = 62 |
SS = 470 | SS = 700 |
α = .05, two-tailed
a.) Following the steps of a hypothesis test, first determine whether the two groups differ in terms of their sample means.
b.) Second, calculate Cohen’s d and r2.
c.) Finally, Write a sentence demonstrating how the results of the hypothesis test and the measure of effect size (use either d or r2) would appear in a research report.
In: Math
Construct a 95% confidence interval to estimate the population mean when x bar =124 and s =29 for the sample sizes below.
a)
n=40
b)
n=50
c)
n=90
round to 2 decimale places as needed
In: Math
Construct the confidence interval for the population mean μ. c =0.90, x=9.8, σ =0.4, and n =46
A 90% confidence interval for μ is ?
In: Math
Edit question Suppose in an effort to manage his inventory levels better, the owner of two steak and seafood restaurants, both located in the same city, hires a statistician to conduct a statistical study. The owner is interested in whether the restaurant located on the south side sells more halibut fillets per night than the restaurant located on the north side of the city. The statistician selects a random sample of 102 nights that the south-side restaurant is open. The mean number of halibut fillets sold per night at the south-side location is 15.3 with a sample standard deviation of 0.4. Likewise, the mean number of halibut fillets sold per night at the random sample of 83 nights that the north-side restaurant is open is 16.8 with a sample standard deviation of 5.5.
Suppose you intend to conduct a hypothesis test on the difference in population means. In preparation, you identify the sample of nights at the south restaurant as sample 1 and the sample of nights at the north restaurant as sample 2. Organize the provided data by completing the following table:
Sample 1 Sample 2 N1 = N2 = μ1 = μ2 = X‾‾1 = X‾‾2 = σ1 = σ2 = s1 = s2 = The difference in sample means for sample 1 and sample 2 is . The estimate of the standard deviation of the sampling distribution of the differences in sample means, s(X‾‾−X‾‾) , is . Now, you know all that you need to know to answer the question about whether the restaurant located on the south side sells more halibut fillets per night than the restaurant located on the north side of the city.
In: Math
The table below gives the age and bone density for five randomly selected women. Using this data, consider the equation of the regression line, y ˆ = b 0 + b 1 x y^=b0+b1x , for predicting a woman's bone density based on her age. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Age 48 48 51 51 56 56 60 60 69 69 Bone Density 351 351 320 320 318 318 311 311 310 310 Table Copy Data Step 2 of 6 : Find the estimated y-intercept. Round your answer to three decimal places.
In: Math
Discuss the topic most challenging in Inference Regression?
Provide a good description of the mentioned topic
Discuss the reasons for the challenges
Discuss exactly what the challenges are
In: Math
The following contingency table shows the number of people who took a statistics course classified by type of student and job outcome
Type of student
Job outcome Undergraduate (B1) Graduate (B2)
Got a job after graduation(A1) 150 100
Did not get a job after graduation(A2) 50 200
Are the two events in (d) independent? Show mathematically how you arrived at your conclusion.
In: Math