Ask Question, Ask an Expert

+61-413 786 465

info@mywordsolution.com

Ask Statistics and Probability Expert

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

From a random sample of 58 businesses it is found that the

From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 20.53 with a standard deviation of 3.23. What is the 95% confidence interval for the amount of ...

1 table 1016 contains the value of the house and the amount

1 Table #10.1.6 contains the value of the house and the amount of rental income in a year that the house brings in ("Capital and rental," 2013). Create a scatter plot and find a regression equation between house value an ...

According to a research institution the average hotel price

According to a research? institution, the average hotel price in a certain year was ?$95.36. Assume the population standard deviation is ?$20.00 and that a random sample of 42 hotels was selected. a. Calculate the standa ...

A manufacturer obtains clock-radios from three different

A manufacturer obtains? clock-radios from three different? subcontractors: 10?% from? A, 30?% from? B, and 60?% from C. The defective rates for these subcontractors are 3?%, 2 %, and 5?% respectively. If a defective? clo ...

Ryan braun has just tested positive for gorilla growth

Ryan Braun has just tested positive for Gorilla Growth hormone. You are his lawyer. Given the following information, do you think you could get him off? Explain your reasoning. P(positive test | drug use) = 0.99 P(positi ...

A customer service phone line claims that the wait times

A customer service phone line claims that the wait times before a call is answered by a service representative is less than 3.3 minutes. In a random sample of 62 calls, the average wait time before a representative answe ...

The following data represents rain fall x and yield of

The following data represents rain fall (x) and yield of paddy per hectare (y) in a particular area. X 113 102 95 120 140 130 125 Y 1.8 1.5 1.3 1.9 1.1 2.0 1.7 Fit the regression equation x and y. Estimate Y when x= 145. ...

Lets assume that your tuition not including books and

Let's assume that your tuition (not including books and supplies) for this semester is $7500. If you are taking 5 courses, and each class meets 3 hours a week, what are you paying per hour for your classes? (A typical co ...

Breeding records reveal that 1 out of every 8 puppies of a

Breeding records reveal that 1 out of every 8 puppies of a certain Welsh Corgi female are runts. Since these puppies can't be sold for full price, we wish to examine the frequency with which this condition is likely to o ...

Please show all worka pair of dice is tossed and the face

Please show all work. A pair of dice is tossed and the face number of each die is recorded. Assuming the dice are fair, what's the probability of the sum of the die faces showing is even?

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

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.

Ask Now Help with Problems, Get a Best Answer

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