+61-413 786 465

info@mywordsolution.com

## Statistics

problem: Which of the following statements are correct interpretations of a 95% confidence interval for μ?

(a) 95% of the observations in the sample will be contained in the confidence interval.

(b) 95% of the population will be contained in the confidence interval.

(c) 95% of the sample means will be contained in the confidence interval.

(d) Before the random sample was taken, there was a 95% probability of getting a sample which would give a confidence interval which contained μ. Thus, we are 95% confident our intervalcontains μ.

(e) 95% of the population means will be contained in the confidence interval.

(f) If repeated samples were taken, we would expect that 95% of the confidence intervals would contain μ and 5% would not.

problem: In a certain lake a limnologist wishes to estimate the proportion of lake trout with lamprey scars.

(a) How large of a random sample should be taken if the limnologist has no prior knowledge of the true proportion, but wants the bound to be within 0.04 with 90% confidence?

(b) How large should the sample be if the limnologist knows the true proportion does not exceed 0.20?

(c) If the limnologist caught 326 lake trout, and 47 had scars, find out a 95% confidence interval for the true proportion of lake trout with lamprey scars.

problem: Obtain the critical value (or values) for a hypothesis test for the mean if you conduct:

(a) an upper tail “z” test at the 1% level of significance.

(b) a two-tailed “z” test at the 1% level of significance.

(c) a lower tail “z” test at the 5% level of significance.

(d) a two-tailed “z” test at the 5% level of significance.

(e) an upper tail “z” test at the 10% level of significance.

(f) a upper tail “t” test with 17 d.f. at the 5% level of significance.

(g) a two-tailed “t” test with 17 d.f. at the 5% level of significance.

(h) a lower tail “t” test with 6 d.f. at the 1% level of significance.

(i) a two-tailed “t” test with 6 d.f. at the 10% level of significance.

(j) an upper tail “t” test with 6 d.f. at the 5% level of significance.

problem: A subject is asked to pick the suit of a card that she does not see, picked at random from a standard deck of playing cards. If the subject has no extra-sensory powers (ESO) her guesses should be correct, on average, 1 in 4 times. However, if she has ESP then the proportion of correct guesses should be better than 1 in 4.

(a) If the subject gets the suit correct 120 times in 400 trials, test (at the 5% level of significance) the statistical evidence that the subject might have ESP.

(b) find out the p-value for the test statistic value in (a) and interpret it.

problem: A study looked at the relationship between coronary heart disease (CHD) and coffee consumption in a group of 40–55 year old men. Among the 790 heavy coffee drinkers (at least 100 cups per month), there were 38 CHD cases. Among the 928 moderate and non-drinkers (less than 100 cups per month), there were 39 CHD cases.

(a) Test the hypothesis that the rate of CHD is higher for heavy coffee drinkers at the 5% level of significance.

(b) Obtain the p-value for the value of the test statistic in (b).

(c) What would the p-value be if the hypothesis to be tested was simply that the rate of CHD differs between the two groups?

(d) Obtain a 95% confidence interval for the difference in the population proportions of CHD cases between the two categories of coffee drinkers.

Statistics and Probability, Statistics

• Category:- Statistics and Probability
• Reference No.:- M9273

Have any Question?

## Related Questions in Statistics and Probability

### 100 people are invited to the party each guest is estimated

100 people are invited to the party. Each guest is estimated to eat 0 or 1 or 2 sandwiches with probabilities 0.2,0.50.3 respectively. How many sandwiches should be ordered ro be approx 90% confident that there will be e ...

### Suppose it is known that the response time of healthy

Suppose it is known that the response time of healthy subjects to a particular stimulus is a normally distributed random variable with a mean of 15 seconds and a variance of 16. What is the probability that a random samp ...

### A group of students made the following scores on a 10-item

A group of students made the following scores on a 10-item quiz in psychological statistics: {5, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10} What is the variance, treating these scores as a sample?

### Suppose that you have 5000 and you are contemplating the

Suppose that you have \$5000 and you are contemplating the purchase of two investments, IBM and Walgreen's. One year from now, IBM can be sold at \$ X per dollar invested, and Walgreen's can be sold for \$ Y per dollar inve ...

### What is the minimum cash flow that could be received at the

What is the minimum cash flow that could be received at the end of year three to make the following project "acceptable?" Initial cost = \$63,000; cash flows at end of years one and two = \$35,000; opportunity cost of capi ...

### There are 20 total socks 10 white and 10 black this makes

There are 20 total socks, 10 white and 10 black. This makes 10 total matching pairs of 5 pair of white and 5 pair of black. If each time you pick a sock from the drawer a sock just like it magically replaces it, what is ...

### Staples has six special drafting pencils for sale two of

Staples has six special drafting pencils for sale, two of which are defective. A student buys two of these six drafting pencils, selected at random. Let the random variable X be the number of defective pencils. Construct ...

### Question suppose x is a normally distributed random

Question: Suppose X is a normally distributed random variable with mean µ = 200 and standard deviation σ = 20 a. Sketch the probability density function of X¯. On the same graph, sketch the probability density function o ...

### The stat 200 course coordinator wants to estimate the

The STAT 200 course coordinator wants to estimate the proportion of all online STAT 200 students who attend Penn State Learning tutoring sessions. In a survey of 72 students during the Summer 2018 semester, 8 had attende ...

### Lets do some r suppose you have the following situation you

Let's do some R.... Suppose you have the following situation: You have a large jar of beans, 43% black, 57% white. You take a sample of 14 beans. a) Use R to figure out the probability for every single possible outcome. ...

• 13,132 Experts

## Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

### Why might a bank avoid the use of interest rate swaps even

Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate

### Describe the difference between zero coupon bonds and

Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p

### Compute the present value of an annuity of 880 per year

Compute the present value of an annuity of \$ 880 per year for 16 years, given a discount rate of 6 percent per annum. As

### Compute the present value of an 1150 payment made in ten

Compute the present value of an \$1,150 payment made in ten years when the discount rate is 12 percent. (Do not round int

### Compute the present value of an annuity of 699 per year

Compute the present value of an annuity of \$ 699 per year for 19 years, given a discount rate of 6 percent per annum. As