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The hourly pay in a small city is normally distributed with a mean of $34.58 and a standard deviation of$7.50. a.What is the probability that a randomly selected worker from the city earns between 40.00 per hour? b. What is the probability that the combined hourly pay of 5 randomly selected workers from the city is between200 per hour? c.What is the probability that the hourly pay for all 5 randomly selected workers is not between 40 per hour?
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Question 1
QUESTION 6
A researcher has estimated a linear model to study the effect of weekly household income x . (in $100) on weekly household
expenditure on food y . (in $). Using a sample of size N = 40, she found that
y = 83.42 + 10.21x .,R2=0.384 (43.41)(2.09)
1i- (y - y) 2= 500,000 and the sample mean of x is 19.605. Choose the wrong statement regarding the 95% confidence interval (CI) of the slope parameter. O a. The asymptotic 95% CI is 10.21 1.96x2.09. O b. The asymptotic 95% CI is wider than the asymptotic 99% CI. O c. The asymptotic 95% CI may not include the true slope parameter. O d.The asymptotic 95% Cl does not include zero according to the information above
O e.The asymptotic 95% Cl is the set of parameter values that are not rejected by a two-tailed test at the 5% level.
Question 2
- Many consumers pay careful attention to stated nutritional contents on packaged foods when making purchases. It is therefore important that the information on packages be accurate. A random sample of frozen dinners of a certain type was selected from production during a particular period, and the calorie content of each one was determined. (This determination entails destroying the product, so a census would certainly not be desirable!) Here are the resulting observations, along with a boxplot and normal probability plot:Question 3
Find the set (A U B U={1,2,3,4,5,6,7} A={1.3,5,7} B={3,4,5}
Select the correct choice below and,if necessary,fill in the answer box to complete your choice
O A.A U B=2.6Use a comma to separate answers as needed.) OB.AU Bis the empty set.
Question 4
1. What is the mean difference between the two groups?
2. Is the homogeneity of variance assumption violated?
3. Based on your previous answer (did we violate homogeneity of variance assumption) question above, what is the correct p-value to interpret for the t-test?
4. The alpha is set at .05 so given the p-value obtained do you reject or not reject the null hypothesis?
Independent Samples Test
Levene's Test for Equality of Variances
t-test for Equality of Means
95% Confidence Interval of the Difference Lower Upper
Mean Difference
Error Difference
(2-tailed)
Number of Older Siblings Equal variances assumed Equal variances not assumed
1.669
203
-1.461
151
580
397
1.381
220
-1.612
31.607
117
580
360
-1.314
153
| Question Text | The hourly pay in a small city is normally distributed with a mean of $34.58 and a
standard deviation of$7.50.
a.What is the probability that a randomly selected worker from the city earns between 40.00 per hour?
b. What is the probability that the combined hourly pay of 5 randomly selected workers from the city is between200 per hour?
c.What is the probability that the hourly pay for all 5 randomly selected workers is not
between 40 per hour?
|
| Topic | All Topics |
| Subject | Statistics |
| Class | Class 11 |
