### What is the value of the test statistic for hypothesis test

Assignment Help Basic Statistics
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Question #1.

 Sample Size Sample Mean Population Standard Deviation Women 30 28 10 Men 25 23 5

At the 0.01 significance level, we ask if there is a difference in the mean number of times men and women send a twitter message in a day . What is the value of the test statistic for this hypothesis test ?
A. .2580
B. 2.672
C. 2.400
D. 2.668

Question #2.

The Tampa Bay ( Florida ) Area chamber of Commerce wanted to know whether the mean weekly salary of nurses was larger than that of school teachers. To investigate , they collect ed the following information on the amounts earned last week by a sample of school teachers and nurses

 School Teachers \$ 1,095 1,076 1,077 1,125 1,034 1,059 1,052 1,070 1,079 1,080 1,092 1,082 Nurses \$ 1,091 1,140 1,071 1,021 1,100 1,109 1,075 1,079

It is reasonable to conclude that the mean weekly salary of nurses is higher? Use the 0.01 sigificance level. Hint for calculations, assume the nurses as the first sample.

A. Is this a one-tailed or a two -tailed tests ?

B. State the decision rule . Negative values should be indicated by a minus sign. Round your answer to 3 decimal places
The decision rule is to reject H0 if t is greater than
less than
equal to

C. Compute the value of the test statistic. Round your answer to 3 decimal places )

The test statistic is t

D. What is your decision regarding H0?

E. What is the p-value

greater than
Between 0.01 and 0.1
between 0.001 and 0.1
Less than 0.001

Question #3. A part of the study of corporate employees, the director of human resources for PNC Inc wants to compare the distance traveled to work by employees at its office downtown Cincinnati with the distance for those in downtown Cincinnati distance with the distance for those in downtown Pittsburgh . A sample of 35 Cincinnati employees showed they travel a mean of 370 miles per month. A sample of 40 Pittsburgh employees showed they travel a mean of 380 miles per month. The population standard deviations for Cincinnati and Pittsburgh employee are 30 and 26 miles, respectively. At the 0.05 signifance level, is there a difference in the mean number of miles traveled per month between Cincinnati and Pittsburgh employees ?

A. Is this a one-tailed or a two tailed tests?

One -tailed
Two-tailed test

B. State the decision rule . (Negative values should be indicated by a minus sign. Round your answers to 2 decimals places )

The decision rule is to reject H0:uC=uP if z is outside interval

Question #4. We test for a hypothesized difference between two population means : H0: U1=u2. The population standard deviations are unknown but assumed equal. The number of observations in the first step is 15, and 12 in the second sample. How many degrees of freedom
are association with the critical value ?

Multiple Choice

27
24
26
25

Question #5. Clarke Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the night shift . The mean number of units produced by a sample of 57 day-shift workers was 359 . The mean number of units produced by a sample of 65 night -shift workers was 369 . Assume the population standard deviation of the number of units produced on the day shift is 23 and 32 on the night shift.

A. Is this a one -tailed or a two -tailed tests

One-tailed test
Two-tailed test

B. State the decision rule . (Negative value should be indicated by a minus sign . Round your answer to 2 decimal places.

The decision rule is to reject H0 : uDay >uNightif z <

C. Compute the value of the test statistic (negative values should be indicated by a minus sign . Round your answer 2 decimal places
The test statistic is z=

Question #6. Fairfield homes is developing two parcels near Pigeon Forge, tennessee . In order to test different advertising approaches it uses different media to reach potential buyers. The mean annual family income for 15 people making inquires at the first development is \$ 150,000 with a standard deviation of \$40,000 . A corresponding sample of 25 people at the second development had a mean of \$180,000 with a standard of \$ 30,000 .Assume the population standard deviation are the same . At the 0.05 signifance level can Fairfield conclude that the population means are different ?

A. State the decision rule for 0.05 signifinance level : H0 : U 1 =u2; H1:U1 u2. Negative values should be indicated by a minus sign.

B. Compute the value of the test- statistics . ( Negative value should be indicated by a minus sign. Round your answer 2 decimal places value of the test statistic

C. At the 0.05 signifinance level, can Fairfield conclude that the population means are different

Ho Fairfield ====== conclude that the population mean are different

Question #7 The net weights ( in grams ) of sample of bottles filled by a machine manufactured by Edne, and the net weights of a sample filled by a similar machine manufactured by Orno, Inc are

 Edne 8 7 6 9 7 5 Orno 10 7 11 9 12 14 9 8

Testing the claim at the 0.05 level that the mean weight of the bottles filled by the orno machine is greater than the mean weight of the bottles filled by the Edne machine what is the critical value for the test ? Assume equal standard deviation for both samples

Multiple choice

plus 2.145
plus 1.761
plus 2.179
plus 1.782

Question #8.

A random sample of 10 observations from one population revealed a sample mean of 23 and a simple deviation of 4 . A random sample sample of 8 observation from another population revealed a sample mean of 26 and a sample standard of 5 . At the .05 signifance level, there a difference between the population means ?

Question 1. What is the number of degrees of freedoms for this test ?

Question 2. What is the critical values for the test ?

negative 2.000 and 2.000
negative 1.711
negative 2.120 and 2.120
negative 1.960 and 1.960

Question 3. What is the decision rule for this test

Reject H1 if t<-2.120 or t <2.120
Reject H0 if t>-2.120 or t >2.120
Reject H0 if t <-2.120 or t>2.120
Reject H1 if t <-2.120 or t>2.120

Question 4. Determine the value of t statistic

t= -1.42
t=-6.34
t=19.94
t=3.12

Question 5. We reject H0

TRUE
FALSE

Verified Expert

The assignment is based on multiple questions on hypothesis testing. The two sample means having different sample sizes and variances are used. The t test and z test have been used as per the required questions. Hypothesis testing is based on testing certain hypothesis and then rejecting or accepting null or alternate hypothesis.

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#### len2281233

4/12/2019 2:09:38 AM

For Number 3. you have to choose between two answers outside and inside. For number 6. A you have to fill in the blank after the word between and after the word and. 6.C fill in the blank after the word Fairfield. # 8. all those are negative numbers

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