Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Also listed are statistics from a study done of IQ scores for a random sample of subjects with high lead levels. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. Medium Lead Level 72 94 92 85 87 97 83 92 104 111 91 High Lead Level n2 = 11 x bar2 = 89.345 s2 = 10.173
The test statistic is
nothing.
(Round to two decimal places as needed.)The P-value is
nothing.
(Round to three decimal places as needed.)
State the conclusion for the test.
A.
Fail to rejectFail to reject
the null hypothesis. There
is notis not
sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.
B.
RejectReject
the null hypothesis. There
isis
sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.
C.
Fail to rejectFail to reject
the null hypothesis. There
isis
sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.
D.
RejectReject
the null hypothesis. There
is notis not
sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores.
b. Construct a confidence interval suitable for testing the claim that the mean IQ scores for subjects with medium lead levels is higher than the mean for subjects with high lead levels.
nothingless than<mu 1μ1minus−mu 2μ2less than<nothing
(Round to two decimal places as needed.)
Does the confidence interval support the conclusion of the test?
▼
No,
Yes,
because the confidence interval contains
▼
zero.
only positive values.
only negative values.
Click to select your answer(s).
In: Math
Given an approximately normal distribution with a mean of 175 and a standard deviation of 37.
(a) What percent of values outside the interval (138, 212)?
(b) What percent of values are outside the interval (101, 249)?
(c) What percent of values are outside the interval (64, 286)?
In: Math
(Use Excel or R)
Wenton Powersports produces dune buggies. They have three assembly lines, “Razor,” “Blazer,” and “Tracer,” named after the particular dune buggy models produced on those lines. Each assembly line was originally designed using the same target production rate. However, over the years, various changes have been made to the lines. Accordingly, management wishes to determine whether the assembly lines are still operating at the same average hourly production rate. Production data (in dune buggies/hour) for the last eight hours are as follows.
Razor | Blazer | Tracer | ||||||||
11 | 10 | 9 | ||||||||
10 | 8 | 9 | ||||||||
8 | 11 | 10 | ||||||||
10 | 9 | 9 | ||||||||
9 | 9 | 8 | ||||||||
9 | 10 | 7 | ||||||||
13 | 13 | 8 | ||||||||
11 | 8 | 9 | ||||||||
a. Specify the competing hypotheses to test whether there are some differences in the mean production rates across the three assembly lines.
H0: μRazor = μBlazer = μTracer. HA: Not all population means are equal.
H0: μRazor ≤ μBlazer ≤ μTracer. HA: Not all population means are equal.
H0: μRazor ≥ μBlazer ≥ μTracer. HA: Not all population means are equal.
b-1. Construct an ANOVA table. Assume production rates are normally distributed. (Round "Sum Sq" to 2 decimal places, "Mean Sq" and "F value" to 3, and "p-value" to 4 decimal places.)
b-2. At the 5% significance level, what is the conclusion to the test?
b-3. What about the 10% significance level?
In: Math
In the reactor safety study, the failure rate of a diesel generator can be described as having a lognormal distribution with the upper and lower 90 % bounds of 3x10^-2 and 3x10^-4, respectively. a) Determine prior distribution in lognormal distribution. b) The given nuclear plant experiences 2 failures in 8,760 hours of operation. Determine the posterior distribution based on Poisson distribution. c) Determine the upper and lower 90 % bounds given this plant experience. (Consider the reactor safety study values as prior information.
In: Math
Required Words: 400
Required
Collection of consumer price index of different countries for analysis
In: Math
A recent survey reported that 63% of 18- to 29-year-olds in a certain country own tablets. Using the binomial distribution, complete parts (a) through (e) below.
?: .52 ?=6
a. What is the probability that in the next six 18- to 29-year-olds surveyed, four will own a tablet?
The probability is ____
(Type an integer or a decimal. Round to four decimal places as needed.)
b. What is the probability that in the next six 18- to 29-year-olds surveyed, all six will own a tablet?
The probability is ____
(Type an integer or a decimal. Round to four decimal places as needed.)
c. What is the probability that in the next six 18- to 29-year-olds surveyed, at least four will own a tablet?
The probability is ____
(Type an integer or a decimal. Round to four decimal places as needed.)
d. What are the mean and standard deviation of the number of 18- to29-year-olds who will own a tablet in a survey of six?
The mean number of 18- to 29-year-olds who own tablets out of six surveyed is _____
(Type an integer or a decimal. Round to four decimal places as needed.)
The standard deviation of the number of 18- to 29-year-olds who own tablets out of six surveyed is
nothing.
(Type an integer or a decimal. Round to four decimal places as needed.)
In: Math
Use the following information to answer the next questions: A
five-sided die is rolled 100 times. Conduct a hypothesis test to
determine if the die is fair. Use a 5% level of significance.
Observed Rolls: One=10; Two=29; Three=16, Four=15, Five=30
Expected Rolls: All the categories of rolls are the same
What test are you running?
What is the observed values of one for the rolled die?
What is the observed values of two for the rolled die?
What is the observed values of three for the rolled die?
What is the observed values of four for the rolled die?
What is the observed values of five for the rolled die?
What is the expected values of one,two,three,four,five for the rolled die?
What are the degrees of freedom?
What is the null hypothesis?
What is the alternative hypothesis?
What is the test statistic? Use one decimal place.
What is the p-value? Use three decimal places.
What is your conclusion based on the p-value and the level of significance?
At the 5% significance level, what can you conclude?
In: Math
When 75 patients were randomly selected, the mean length of wait time was found to be 28 days and the standard deviation was 5.6 days. Because of waiting issues, wait times would slightly go up. What would be the steps to test the claim that wait times have a mean of LESS THAN 38 days if you used a 0.05 significance level?
In: Math
An experiment was conducted to see the effectiveness of two
antidotes to three different doses of a toxin. The antidote was
given to a different sample of participants five minutes after the
toxin. Twenty-five minutes later the response was measured as the
concentration in the blood. What can the researchers conclude with
α = 0.01?
Dose | |||
Antidote | 5 | 10 | 15 |
1 | 0.6 1.1 1.1 |
2.1 1.5 6.2 |
3.1 4.1 5.9 |
2 | 1.1 1.2 1.1 |
1.7 1.3 1.5 |
2.1 3.1 2.1 |
a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way
ANOVA
b) Compute the appropriate test statistic(s) to
make a decision about H0.
Antidote: critical value = ; test
statistic =
Decision: ---Select--- Reject H0 Fail to reject H0
Dose: critical value = ; test statistic
=
Decision: ---Select--- Reject H0 Fail to reject H0
Interaction: critical value = ; test
statistic =
Decision: ---Select--- Reject H0 Fail to reject H0
In: Math
a team of educational researchers want to assess the learning outcomes of courses that are offered in traditional face-to-face classroom as compare with online sections. section 1 (traditional classroom) consisted 101 students and section 2 (online class) were 105 students. At the end of the semester the researchers measured achievement scores. students in section 1 had an average of 85 with standard deviation of 6.5 and section 2 (online) earned an average of 78.0 with standard deviation of 9.5. is there a significant difference between the traditional and online class outcomes? at 95% level, apply five-step hypothesis testing and interpret the result.
In: Math
Suppose the average female brain size (in cubic centimeters) is estimated to be 3370cubic centimeters. A 1905 study by R.J. Gladstone measured the brain size of 103randomly selected deceased female subjects. The data provided show the brain sizes of each of the subjects.
Click to download the data in your preferred format.
Excel:
Size..cm.3. |
2857 |
3436 |
3791 |
3302 |
3104 |
3171 |
3572 |
3530 |
3175 |
3438 |
3903 |
3899 |
3401 |
3267 |
3451 |
3090 |
3413 |
3323 |
3680 |
3439 |
3853 |
3156 |
3279 |
3707 |
4006 |
3269 |
3071 |
3779 |
3548 |
3292 |
3497 |
3082 |
3248 |
3358 |
3803 |
3566 |
3145 |
3503 |
3571 |
3724 |
3615 |
3203 |
3609 |
3561 |
3979 |
3533 |
3689 |
3158 |
4005 |
3181 |
3479 |
3642 |
3632 |
3069 |
3394 |
3703 |
3165 |
3354 |
3000 |
3687 |
3556 |
2773 |
3058 |
3344 |
3493 |
3297 |
3360 |
3228 |
3277 |
3851 |
3067 |
3692 |
3402 |
3995 |
3318 |
2720 |
2937 |
3580 |
2939 |
2989 |
3586 |
3156 |
3246 |
3170 |
3268 |
3389 |
3381 |
2864 |
3740 |
3479 |
3647 |
3716 |
3284 |
4204 |
3735 |
3218 |
3685 |
3704 |
3214 |
3394 |
3233 |
3352 |
3391 Conduct a t‑test at the α=0.05 level to test his claim. What are the t‑statistic and P-value for this test? Please round your answers to the nearest three decimal places. t = ? P = ? |
In: Math
problem 08-23 Algo (Using Regression Analysis for Forecasting
Quarter:1,2,3,4
year 1: 2,0,5,5
year 2: 5,2,8,8
year 3: 7,6,10,10
Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. Qtr1 = 1 if Quarter 1, 0 otherwise; Qtr2 = 1 if Quarter 2, 0 otherwise; Qtr3 = 1 if Quarter 3, 0 otherwise. | |||||||||||||||||||||
If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) If the constant is "1" it must be entered in the box. Do not round intermediate calculation. | |||||||||||||||||||||
ŷ = + Qtr1 + Qtr2 + Qtr3 | |||||||||||||||||||||
(c) | Compute the quarterly forecasts for next year based on the model you developed in part (b). | ||||||||||||||||||||
If required, round your answers to three decimal places. Do not round intermediate calculation. | |||||||||||||||||||||
|
|||||||||||||||||||||
(d) | Use a multiple regression model to develop an equation to account for trend and seasonal effects in the data. Use the dummy variables you developed in part (b) to capture seasonal effects and create a variable t such that t = 1 for Quarter 1 in Year 1, t = 2 for Quarter 2 in Year 1,… t = 12 for Quarter 4 in Year 3. | ||||||||||||||||||||
If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) | |||||||||||||||||||||
ŷ = + Qtr1 + Qtr2 + Qtr3 + t | |||||||||||||||||||||
(e) | Compute the quarterly forecasts for next year based on the model you developed in part (d). | ||||||||||||||||||||
Do not round your interim computations and round your final answer to three decimal places. | |||||||||||||||||||||
|
|||||||||||||||||||||
(f) | Is the model you developed in part (b) or the model you developed in part (d) more effective? | ||||||||||||||||||||
If required, round your intermediate calculations and final answer to three decimal places. | |||||||||||||||||||||
|
Can you please show me how to step up excel spreadsheet for this problem. How to figure out the problems on this question.
In: Math
Use a α = .01 significance level to test the claim that 90% students have a Facebook account. Survey results: n=500, x= 430.
H0=
H1=
Left tail, right tail or two tail? Explain, please!
Test statistic:
P-value:
Conclusion:
In: Math
You wish to determine the GPA of students at your school. Describe what process you would go thru to collect a sample if you use a stratified sample.
In: Math
Zippy Cola is studying the effect of its last advertising campaign. People chosen at random were called and asked how many cans of zippy cola they hand bought and advertisements they had either read or seen of zippy cola in the past week Number of ads 3, 7, 4, 2, 0, 4, 1, 2 Cans purchased 11, 18, 9 ,4,7 ,6,3 ,8 what are the independent and dependent variables and also calculate slope and intercept
In: Math