A student researcher compares the heights of men and women from the student body of a certain college in order to estimate the difference in their mean heights. A random sample of 18 men had a mean height of 71.4 inches with a standard deviation of 1.68 inches. A random sample of 10 women had a mean height of 65 inches with a standard deviation of 3.01 inches. Determine the 98% confidence interval for the true mean difference between the mean height of the men and the mean height of the women. Assume that the population variances are equal and that the two populations are normally distributed.
Step 1 of 3: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Step 2 of 3: Find the standard error of the sampling distribution to be used in constructing the confidence interval. Round your answer to two decimal places.
Step 3 of 3: Construct the 98% confidence interval. Round your answers to two decimal places.
In: Math
Sheila's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if her glucose level is above 130 milligrams per deciliter (mg/dl) one hour after a sugary drink. Sheila's measured glucose level one hour after the sugary drink varies according to the Normal distribution with μ = 115 mg/dl and σ = 12 mg/dl.
Let X = Sheila's measured glucose level one hour after a sugary drink
(a) P(X > 130) =
Suppose measurements are made on 3 separate days and the mean result is compared with the criterion 130 mg/dl. (b) P(X > 130) =
(c) What sample mean blood glucose level is higher than 95% of all other sample mean blood glucose levels? Hint: this requires a backward Normal calculation. (Use 2 decimal places)
In: Math
A manufacturer claims that the calling range (in feet) of its 900-MHz cordless telephone is greater than that of its leading competitor. A sample of 19 phones from the manufacturer had a mean range of 1060 feet with a standard deviation of 41 feet. A sample of 13 similar phones from its competitor had a mean range of 1000 feet with a standard deviation of 24 feet. Do the results support the manufacturer's claim? Let μ1 be the true mean range of the manufacturer's cordless telephone and μ2 be the true mean range of the competitor's cordless telephone. Use a significance level of α=0.01 for the test. Assume that the population variances are equal and that the two populations are normally distributed.
Step 1 of 4: State the null and alternative hypotheses for the test.
Step 2 of 4: Compute the value of the t test statistic. Round your answer to three decimal places.
Step 3 of 4: Determine the decision rule for rejecting the null hypothesis H0. Round your answer to three decimal places.
Step 4 of 4: State the test's conclusion.
In: Math
OBESITY | SMOKER | ALCOHOL - (heavy drinking more than once a month) | Physical Inactivity (during leisure time) | |||||||||
% | LCI | UCI | % | LCI | UCI | % | LCI | UCI | % | LCI | UCI | |
Q1 - least deprived | 18.28 | 11.69 | 27.42 | 16.75 | 11.13 | 24.44 | 15.34 | 9.153 | 24.57 | 47.56 | 32.32 | 63.28 |
Q2 | 21.3 | 14.95 | 29.41 | 21.12 | 15.04 | 28.82 | 22.41 | 10.61 | 41.29 | 40.26 | 31.43 | 49.76 |
Q3 | 23 | 16.18 | 31.61 | 21.62 | 15.96 | 28.59 | 25.39 | 18.67 | 33.52 | 43.06 | 35.82 | 50.6 |
Q4 | 23.99 | 16.58 | 33.38 | 26.17 | 17.97 | 36.46 | 21.07 | 11.86 | 34.62 | 50.79 | 40.02 | 61.48 |
Q5 - most deprived | 28.36 | 21.57 | 36.3 | 25.25 | 16.58 | 36.49 | 21.2 | 15.7 | 27.99 | 43.48 | 35.65 | 51.65 |
I have these numbers and am asked to create a bar chart with error bars in excel for the confidence intervals and am only given this data... how do I make this bar char with confidence intervals ! The percentages are what is to be graphed, it is assumed they are the mean. THE DATA IS IN A COPIABLE FORM. I COPIED AND PASTED STRAIGHT FROM HERE INTO EXCEL!
In: Math
One of the major measures of the quality of service provided by any organization is the speed with which it responds to customer complaints. A large family-held department store selling furniture and flooring, including carpet, had undergone a major expansion in the past several years. In particular, the flooring department had expanded from 2 installation crews to an installation supervisor, a measurer, and 15 installation crews. The store had the business objective of improving its response to complaints. The variable of interest was defined as the number of days between when the complaint was made and when it was resolved. Data were collected from 50 complaints that were made in the past year with sample mean 43.04 and sample standard deviation 41.9261.
a. The installation supervisor claims that the mean number of days between the receipt of a complaint and the resolution of the complaint is 19 days. At the 0.01 level of significance, is there evidence that the claim is not true (i.e., the mean number of days is different from 19)?
b. What assumption about the population distribution is needed in order to conduct the t test in (a)?
In: Math
SAT scores have a mean of 1000 and a standard deviation of 220.
Q18: What is the probability that a random student will score more than 1400?
Q19: Using the Central Limit Theorem, what is the probability that sample of 100 students will have an average score less than 990?
Q20: Using the Central Limit Theorem, what is the probability that sample of 100 students will have an average score between 990 and 1010?
Use excel functions to calculate your answers.
In: Math
I am working with SPSS software. The researchers conducted a study to determine the following:
What is the correlation between students’ age and how many seconds they were observed washing their hands?
What is the correlation between students’ score on the “when should you wash your hands” knowledge index and the “correct handwashing” self-report scale?
For "sex" the role is (input)
For "age" the role is (input)
For "seconds of hand washing" the role is (target)
For "hand washing index" the role is (both)
For "correct handwashing method" the role is (both)
I am looking to find if each dependent variable is approximately normally distributed, but am unsure which information should be put into Explore in SPSS to calculate for normal distribution. I know that my independent variables are "age" and "sex" and one of the dependent variables is "seconds hand washing" but I am unclear as to whether I should use the other two labeled as (both) as well?
Can someone help me understand how I should go about exploring for normal distribution?
In: Math
A university hospital is researching the effects of doctor
attractiveness on patient satisfaction. Three doctors were
recruited: a middle aged male and 30 year old male and female. Each
doctor gave every patient an eye exam. The patients were asked to
rate their satisfaction level on a survey after being examined. The
data are presented below. What can researchers conclude with α =
0.01?
Middle age male | 30 year old male | 30 year old female |
---|---|---|
4 5 3 9 4 |
8 6 5 6 5 |
9 7 7 6 7 |
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.
critical value = ; test statistic =
Decision: ---Select--- Reject H0 Fail to reject H0
c) Compute the corresponding effect size(s) and
indicate magnitude(s).
η2 = ; ---Select--- na trivial
effect small effect medium effect large effect
e) Conduct Tukey's Post Hoc Test for the following
comparisons:
1 vs. 3: difference = ;
significant: ---Select--- Yes No
2 vs. 3: difference = ;
significant: ---Select--- Yes No
In: Math
An urn contains 5 red balls, 4 green balls and 4 yellow balls, for a total of 13 balls.
if five balls are randomly selected without replacement, what is the probability of selecting at least two red balls, given that at least one yellow ball is selected?
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A research center claims that at least 25% of adults in a certain country think that their taxes will be audited. In a random sample of
600 adults in that country in a recent year, 22% say they are concerned that their taxes will be audited. At α=0.100.10,
is there enough evidence to reject the center's claim? Complete parts (a) through(e) below.
In: Math
Dog Bites Self-Esteem Shoe Extraversion 40yd
13 6 8 90 5.5
3 21 9 24 4.6
20 2 15 98 6.3
7 15 11 55 5.4
9 13 12 59 5.6
2 20 9 32 4.4
13 6 11 87 6.8
15 2 9 97 6.7
5 23 10 23 4.6
6 11 9 50 5.2
19 4 11 84 6.1
16 5 9 80 6.6
6 22 9 21 4.5
4 19 13 26 4.8
Give me the regression equation and the results of the statistical test (including null hypothesis tested and the decision reached) for this data (include null and decision) Want to predict the number of dog bites from self-esteem, shoe, extraversion, and 40 yd.Include SPSS
In: Math
In: Math
I don't understand the zero chart when there is more than two numbers, i.e. z-3.17 & z=2.79=?
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Calculate the mean, ?⎯⎯⎯,x¯, and standard deviation, ?,s, for the data set.
Sample | Value |
---|---|
1 | 8.013 |
2 | 8.013 |
3 | 8.012 |
4 | 8.029 |
5 | 8.013 |
6 | 8.025 |
In: Math
Speeding on the I-5. Suppose the distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 73 miles/hour and a standard deviation of 4.65 miles/hour. Round all answers to four decimal places. What proportion of passenger vehicles travel slower than 72 miles/hour? What proportion of passenger vehicles travel between 66 and 73 miles/hour? How fast do the fastest 6% of passenger vehicles travel? miles/hour Suppose the speed limit on this stretch of the I-5 is 70 miles/hour. Approximately what proportion of the passenger vehicles travel above the speed limit on this stretch of the I-5?
In: Math