A single observation of a random variable having an exponential distribution is used to test the null hypothesis that the mean of the distribution is 2 against the alternative that it is 5 If the null hypothesis is accepted if and only if the observed value of the random variable is less than 3, find the probabilities of type I and type II errors

Question: A single observation of a random variable having an exponential distribution is used to test the null hypothesis that the mean of the distribution is

A single observation of a random variable having an exponential is used to test the null hypothesis that the mean of the is θ = 2 against the alternative that it is θ = 5. If the null hypothesis is accepted if and only if the observed value of the random variable is less than 3, find the probabilities of type I and type II errors.

Step by Step Solution

★★★★★

3.43 Rating (185 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

px 3 2 p... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

583-M-S-H-T (3210).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

A single observation of a random variable having a geometric distribution is used to test the null hypothesis = 0 against the alternative hypothesis = 1 > 0. If the null hypothesis is rejected if...

A single observation of a random variable having a uniform density with = 0 is used to test the null hypothesis = 0 against the alternative hypothesis = 0 + 2. If the null hypothesis is rejected...

A single observation of a random variable having a geometric distribution is to be used to test the null hypothesis that its parameter equals 0 against the alter-native that it equals 1 > 0. Use the...

please help?do 1,3,4 Sampling from N(1, (2) Do 1, 3 (nandc), 4 . 16: 02= 1 Hair = 4 m = 5 = 05 Develop best test 2. A single observation of a random variable having an exponential distribution is...

Pleased help?! Q1,3,4 Sampling from NII, (2) Do 1, 3 (nandc), 4 . 16: 0 2 = 1 Ha: 1 2 4 m = 5 1 =. 05 Develop best test ... 2. A single observation of a random variable having an exponential...

4. A single observation of a random variable having an exponential distribution is used to test the null hypothesis that the mean of the distribution is (9 = 2 versus the alternative that 9 = 5. If...

1. A single observation of a random variable having a geometric distribution is used to test the null hypothesis 000 against the alternative hypothesis 0 = 0>00. If the null hypothesis is rejected if...

A single observation of a random variable having a hypergeometric distribution with N = 7 and n = 2 is used to test the null hypothesis k = 2 against the alternative hypothesis k = 4. If the null...

Suppose x is a single observation on a random variable X Exp()). We wish to test the null hypothesis Ho : - = 100 against the alternative H1 : - > 100. We decide to reject Ho if x 2 460. (i)...

Solve the question below kindly How many chords can be drawn through 21 points on a circle? 4. How many triangles can be formed by joining the vertices of a hexagon? 5. Out of 7 consonants and 4...

Matthews Manufacturing is negotiating a one-year credit line with its bank, Worldwide Bank. The amount of the credit line is $6.5 million with an interest rate set at 1.5% above the prime rate. A...

Recall that the file Supermarket Transactions.xlsx contains data on over 14,000 transactions. There are two numerical variables, Units Sold and Revenue. The first of these is discrete and the second...

bags last year for a gross revenue amount of $ 2 4 0 , 0 0 0 , and we hope to sell more this year and next year by negotiating with some big players in the market! Devon That volume is impressive....

What is the difference between intensive and extensive economic growth?

A Gallup poll asked, Do you think that rich people in America today are happier than you, less happy, or about the same? In 2012, 27% said less happy, 11% said happier, and 57% said about the same....

A Gallup poll asked, Do you think that rich people in America today are happier than you, less happy, or about the same? In 1990, 36% said less happy, 11% said hap-pier, and 50% said about the same....

A Gallup poll conducted in 2012 asked people who were not rich whether they thought it was likely that they would become rich. The table gives the total number of people in each age range (rounded)...

Bunny Hip and Hop Brewery has $ 7 5 0 , 0 0 0 in assets and $ 3 0 0 , 0 0 0 of debt. It reports net income of $ 5 5 , 0 0 0 . What is its ROA? ( Round the final answer to 2 decimal places. ) Return...

An investor is considering investing $100,000 in three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market...

Happy Times, Inc., wants to expand its party stores into the Southeast. In order to establish an immediate presence in the area, the company is considering the purchase of the privately held Joe's...