Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time during a week. A sample of 18 watches provided the following gains (+) or losses (-) in seconds per week. -0.42 -0.17 -0.11 -0.28 +0.33 -0.25 +0.34 +0.25 -0.08 -0.32 -0.54 -0.44 -0.45 -0.64 -0.04 -0.26 -0.44 +0.09 a-1. Is it reasonable to conclude that the mean gain or loss in time for the watches is 0? Use the .10 significance level. At a level of .10 significance, we reject H0: ? = 0 if t < or t > . (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) a-2. The value of the test statistic is . (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) a-3. H0: ? = 0. The p-value is

Question
Asked Nov 12, 2019
151 views


Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time during a week. A sample of 18 watches provided the following gains (+) or losses (-) in seconds per week. -0.42 -0.17 -0.11 -0.28 +0.33 -0.25 +0.34 +0.25 -0.08 -0.32 -0.54 -0.44 -0.45 -0.64 -0.04 -0.26 -0.44 +0.09 a-1. Is it reasonable to conclude that the mean gain or loss in time for the watches is 0? Use the .10 significance level. At a level of .10 significance, we reject H0: ? = 0 if t < or t > . (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) a-2. The value of the test statistic is . (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) a-3. H0: ? = 0. The p-value is

check_circle

Expert Answer

Step 1

Given information:

A sample of 18 watches provided the following gains (+) or losses (-) in seconds per week.

-0.42

-0.17

-0.11

-0.28

+0.33

-0.25

+0.34

+0.25

-0.08

-0.32

-0.54

-0.44

-0.45

-0.64

-0.04

-0.26

-0.44

+0.09

 

Sample size (n) = 18

Step 2

The mean gain or loss in time for the watches is 0. So, the null and alternative hypothesis is,

help_outline

Image Transcriptionclose

Null Hypothesis H u0 Alternative Hypothesis H 0

fullscreen
Step 3

Population variance of the given data is unknown. So, we will use t-distribution.

 Significance level = 0.10

Degree of freedom = n-1

                     &nb...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: In order to estimate the population proportion with a high school education,  you need a minimum sam...

A: It is given that margin of error (E) is 0.07 and the confidence level is 0.95.Here,

question_answer

Q: In the Salsberry (2003) study shared in this weeks module, the researcher presents the following res...

A: Chi-square test for “Goodness of fit”:The Chi-square test for “Goodness of fit” is used to test the ...

question_answer

Q: #10   Write the following in inequality notation, interval notation and graph the interval. The conf...

A: From the given information, the confidence interval of a population proportion has been found to be ...

question_answer

Q: The diameters (in inches) of 17 randomly selected bolts produced by a machine are listed. Use a 90 %...

A: Confidence interval:The (1-α) % confidence interval for population variance is given by:

question_answer

Q: VARS ACimal.) Type 0.95,1 C. Th Close the b d. The value of to is (Type an integer or a decimal.) Pr...

A: From the given question,It is required to calculate t-value (critical) in the following cases:a)

question_answer

Q: What is the estimated standard error for a paired sample t test using the following data: Standard d...

A: The estimated standard error for a paired sample t test is,

question_answer

Q: I need help with question 7 please

A: Paired t-test statistic:To test a hypothesis regarding whether the difference between a paired set o...

question_answer

Q: 13. Two Indiana state candidates must decide which city to visit the day before the November electio...

A: (a) The minimum values for each row are (-15, -10, -25, 10).The Republican candidate follows maxi-mi...

question_answer

Q: According to the CTIA-The Wireless Association, the mean monthly revenue per cellphone was $48.79 in...

A: Hey, since there are multiple sub parts posted, we will answer first 3 sub parts. If you want any sp...