Suppose that the 12 observations X1, , X12 form a random sample from the normal distribution with unknown mean and unknown variance 2 Describe how to carry out a t test of the following hypotheses at the level of significance 0 0 005 H0 3, H1 3

Question: Suppose that the 12 observations X1, . . . , X12 form a random sample from the normal distribution with unknown mean and unknown

Suppose that the 12 observations X1, . . . , X12 form a random sample from the normal with unknown mean μ and unknown variance σ2. Describe how to carry out a t test of the following hypotheses at the level of significance α0 = 0.005:
H0: μ ≥ 3,
H1: μ<3.

Step by Step Solution

★★★★★

3.32 Rating (179 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The usual t statistic U is defined by Eq 952 with n 12 and 0 3 Because the one sided hypot... 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)

602-M-S-H-T (3793).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Suppose that X1, . . . , Xn form a random sample from the normal distribution with unknown mean and unknown precision , and also that the joint prior distribution of and is the normal-gamma...

Suppose that X1, . . . , Xn form a random sample from the normal distribution with unknown mean (

Suppose that the nine observations X1, . . . , X9 form a random sample from the normal distribution with unknown mean 1 and unknown variance 2, and the nine observations Y1, . . . , Y9 form an...

Suppose that X1, . . . , Xm form a random sample from the normal distribution with unknown mean 1 and unknown variance 21, and that Y1, . . . , Yn form an independent random sample from the normal...

Suppose that X1, . . . , X11 form a random sample from the normal distribution with unknown mean 1 and unknown variance 21 . Suppose also that Y1, . . . , Y21 form an independent random sample from...

Suppose that X1, . . . , Xm form a random sample from the normal distribution with unknown mean 1 and unknown variance 2, and Y1, . . . , Yn form an independent random sample from another normal...

Suppose that X1, . . . , Xn form a random sample from the normal distribution with unknown mean and known variance 2. Suppose also that the prior distribution of is normal with mean and variance...

Suppose that X1, . . . , Xm form a random sample from a continuous Distribution for which the p.d.f. f (x) is unknown; Y1, . . . , Yn form an independent random sample from another continuous...

Suppose that X1, . . . , Xn form a random sample from the Bernoulli distribution with unknown parameter p, and the prior p.d.f. of p is a positive and differentiable function over the interval 0

In testing controls over purchases, an auditor most likely would determine that the person who receives inventory. a. Posts to the general ledger to reflect the receipt of goods. b. Already has...

Suppose Akbars company, noted earlier in the chapter introduction, is located in a hurricane zone and that it has been given 36 hours warning that a serious, category 4 hurricane is headed its way....

Bob's Biscuit Company placed an ad in the newspaper with an offer of 2 6 percent off purchase by July voth. This offer is an example of afm Multiple Choice point - of - purchase display. premium....

What is the difference between first- and second-degree murder?

The nozzle of a mixing vibrator is tested for its number of vibrations. The vibration frequency, for each nozzle sample, can be modeled by a normal distribution with mean 128 and standard deviation...

If a random variable has the standard normal distribution, find the probability that it will take on a value (a) between 0 and 2.3 ; (b) between 1.22 and 2.43 ; (c) between -1.45 and -0.45 ; (d)...

If a random variable has the standard normal distribution, find the probability that it will take on a value (a) less than 1.75 ; (b) less than -1.25 ; (c) greater than 2.06 ; (d) greater than -1.82 .

You've collected the following information from your favorite financlal website. According to your research, the growth rate in dividends for Manta Energy for the previous 1 0 years has been negatlve...

What happens to a company's weighted average cost of capital (WACC) if the firm's corporate tax rate increases and if the Federal Reserve causes an increase in the risk-free rate, respectively?...

Operating exposure captures the extent to which exchange rate changes affect the firm's known cash flows from existing contracts. Select one: True False