television have a lifetime of 482 hours; The Sony factory makes 10,588 in 3months. the average of a television lasting this long is 80 . what is the probability that 43 televisions out of the 10,588?
please answer with steps.
In: Statistics and Probability
In 2010 the Maricopa Community College District's enrollment data showed the following breakdown of students by ethnicity: 54.9% White; 21.1% Hispanic; 7.9% Black; 4.5% Asian/Pacific Islander; 2.9% Native American; 8.8% Other. Information was collected from a random sample of 300 students in 2017 to determine whether or not the data has changed significantly. The sample data is given in the table below. At the alph=0.05 level of significance, test the claim that the ethnic breakdown of students at MCCCD has not changed significantly since 2010.
Which would be the correct hypothesis for this test?
H0: u1 = u2; H1: u1 ≠ u2
H0: p1 = p2; H1: p1 ≠ p2
H0: The breakdown of students by ethnicity has not changed significantly since 2010 (i.e. the given distribution still fits); H1: The breakdown of students by ethnicity has changed significantly since 2010 (i.e. the given distribution no longer fits)
H0: The breakdown of students by ethnicity has changed significantly since 2010 (i.e. the given distribution no longer fits); H1: The breakdown of students by ethnicity has not changed significantly since 2010 (i.e. the given distribution still fits)
Ethnicity of students in sample:
White - 160
Hispanic - 89
Black - 25
Asian/Pacific Islander - 11
Native American - 15
Other - 0
Test Statistic:
______________
Give the P-value
_____________
In: Statistics and Probability
Select all TRUE statements below.: a) A multiple regression analysis can be performed with more than one continuous dependent variable at a time. b) In a two-way between-subjects ANOVA, is it possible to have a significant interaction, but not a significant main effect for either factor. c) A one-way between-subjects ANOVA cannot be conducted with 5 groups. d) The normality assumption of multiple linear regression can be checked by examining a scatterplot of fitted values versus standardized residuals. e) The normality assumption underlying between-subjects ANOVA states that the sample mean is normally distributed. f) Simple main effects examine whether there are significant differences among marginal means in a two-way between-subjects ANOVA. g) In multiple regression analysis, it is possible that a statistical test for the overall model is significant, indicating that there is significant variation in the outcome variable explained by the predictors, but no individual regression coefficient is statistically significant. h) If the correlation between X1 and Y is positive, then the coefficient for X1 will be positive if it is included in a multiple regression model in which there are several correlated predictors. i) The Fisher Z transformation is used to transform a non-normal dependent variable to meet the assumptions of ANOVA. j) If random assignment is used, we can infer that the independent variable caused changes in the dependent variable if ANOVA is used to analyze the data, but not if multiple linear regression is used. k) In repeated-measures ANOVA, an F-test can be computed for the between-participant effect.
In: Statistics and Probability
please answer with explanation using Microsoft word and copying and pasting the answer here so i can easily copy and paste on my word document. thank you
9) A researcher has developed the following regression equation to predict the prices of luxurious Oceanside condominium units, = 40 + 0.15Size + 50View, where Price is the price of a unit (in $1,000s), Size is the square footage (in sq. feet), and View is a dummy variable taking on 1 for an ocean view unit and 0 for a bay view unit. Which of the following is the difference in predicted prices of the ocean view and bay view units with the same square footage? A) $315,000 B) $50,000 C) $265,000 D) $40,000
19) Consider the regression equation = b0 + b1xd with b1 > 0
and a dummy variable d. If d changes from 0 to 1, which of the
following is true? A) The intercept increases by b0 + b1. B) The
intercept increases by b1. C) The slope increases by b0 + b1. D)
The slope increases by b1.
In: Statistics and Probability
Imagine a new book that is to be released. Construct the attributes (i.e., the value of independent variables) of this, and estimate the sales rank of it when it is sold on Amazon.com
In: Statistics and Probability
How would you use multiple regression analysis to purchase a used car? List all the variables you would use to and what type of analysis weights you would place on them?
In: Statistics and Probability
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if he wishes the estimate to be within two percentage points with 99% confidence, assuming that
(a) he uses the estimates of 22.6% male and 18.9% female from a previous year?
n=____
(b) he does not use any prior estimates?
n=____
In: Statistics and Probability
The CDC periodically administers large randomized surveys to
track the health of Americans.
In a survey of 4378 adults ending in 2016, 70.9% were overweight,
and
in a survey of 4246 adults ending in 2012, 68.7% were
overweight.
(a) The standard error for estimating the change in population
proportion is 0.009888.
Calculate the 95% confidence interval for the change in population
proportion
to 4 decimal accuracy: [ x.xxxx, x.xxxx ]
(b) Test the hypothesis that the population proportions are equal
vs the two-sided alternative hypothesis.
Calculation accuracy required:
Test statistic: 4 decimals x.xxxx
p-value: 4 decimals 0.xxxx
In: Statistics and Probability
Anystate Auto Insurance Company took a random sample of 374 insurance claims paid out during a 1-year period. The average claim paid was $1600. Assume σ = $264. Find a 0.90 confidence interval for the mean claim payment. (Round your answers to two decimal places.) lower limit $ upper limit $ Find a 0.99 confidence interval for the mean claim payment. (Round your answers to two decimal places.) lower limit $ upper limit $
In: Statistics and Probability
# 2: T test for two means
The data in SteelStrengthData.txt consists ofn1= 32 strength measurements of cold-rolled steel andn2= 35 measurements of two-sided galvanized steel. Import it into the data framedf2 and complete the following parts.
Use boxplot(Value∼Sample, notch=TRUE, data=df2) to do a comparative box plot. Do the two medians appear significantly different? (NOTE:∼does not copy-paste well.)
Test the hypothesisH0:μ1−μ2= 0 vs Ha:μ1−μ26= 0, at level of significance 0.1, without assuming σ1=σ2. Report the outcome of the test and also the 90% CI for μ1−μ2.3. Repeat the above using the assumption that σ1=σ2.
Using R please
In: Statistics and Probability
Question 1
“PhysicalFun” is a physical center which opens 24 hours per day.
Each member of “PhysicalFun” has an access card. Members would be
charged in a weekly basic (Sunday 12:00a.m. to Saturday 11: 59
p.m.) according to the accumulated number of hours of facilities
used within a week. The weekly basic charge is $150 with an
additional charge of $30 per hour. According to the company record,
the number of hours a member spends in “PhysicalFun” in a week is
normally distributed with mean 15 hours and standard deviation 2.8
hours.
(a) What are the average and standard deviation of weekly charge of
a member?
(b) Suppose the middle 85% of weekly charge of a member is denoted
by $(L1, L2). Find the values of L1
and L2.
(c) The senior management suggests fixing the weekly charge per
member at $700. Assume the number
of hours a member spends in “PhysicalFun” would not be changed due
to the change of the weekly charge
calculation method. What proportion of members would pay more money
than the original system?
(d) How many hours does a member spend in “PhysicalFun” in a week
so he / she would be beneficial by
the new system?
In: Statistics and Probability
In: Statistics and Probability
The following questions are based on Chapter 12 (One-Way Analysis of Variance).
1. A researcher wishes to test the differences among five population means, using the .05 criterion of significance. Why is it a bad idea to perform 10 t tests for the 10 possible pairs of means?
2. In one-way analysis of variance, what can cause the group means to vary?
3. In a one-way analysis of variance, the degrees of freedom for the numerator is equal to…?
4. In one-way analysis of variance, the F ratio is computed by…?
5. The smallest and largest possible values of F are…?
6. When testing a Kruskal-Wallis H for statistical significance, the critical value can be found in the…?
In: Statistics and Probability
Age (weeks) |
Strength |
15.50 |
2158.70 |
23.75 |
1678.15 |
8.00 |
2316.00 |
17.00 |
2061.30 |
5.00 |
2207.50 |
19.00 |
1708.30 |
24.00 |
1784.70 |
2.50 |
2575.00 |
7.50 |
2357.90 |
11.00 |
2277.70 |
13.00 |
2165.20 |
3.75 |
2399.55 |
25.00 |
1779.80 |
9.75 |
2336.75 |
22.00 |
1765.30 |
18.00 |
2053.50 |
6.00 |
2414.40 |
12.50 |
2200.50 |
2.00 |
2654.20 |
21.50 |
1753.70 |
In: Statistics and Probability
For this problem, carry at least four digits after the decimal
in your calculations. Answers may vary slightly due to
rounding.
Santa Fe black-on-white is a type of pottery commonly found at
archaeological excavations at a certain monument. At one excavation
site a sample of 578 potsherds was found, of which 352 were
identified as Santa Fe black-on-white.
(a) Let p represent the proportion of Santa Fe
black-on-white potsherds at the excavation site. Find a point
estimate for p. (Round your answer to four decimal
places.)
(b) Find a 95% confidence interval for p. (Round your
answers to three decimal places.)
lower limit | |
upper limit |
Give a brief statement of the meaning of the confidence
interval.
5% of the confidence intervals created using this method would include the true proportion of potsherds.95% of the confidence intervals created using this method would include the true proportion of potsherds. 5% of all confidence intervals would include the true proportion of potsherds.95% of all confidence intervals would include the true proportion of potsherds.
(c) Do you think that np > 5 and nq > 5 are
satisfied for this problem? Explain why this would be an important
consideration.
Yes, the conditions are satisfied. This is important because it allows us to say that p̂ is approximately binomial.
Yes, the conditions are satisfied. This is important because it allows us to say that p̂ is approximately normal.
No, the conditions are not satisfied. This is important because it allows us to say that p̂ is approximately binomial.
No, the conditions are not satisfied. This is important because it allows us to say that p̂ is approximately normal.
In: Statistics and Probability