Question

Asked Nov 24, 2019

60 views

Lester Hollar is vice president for human resources for a large manufacturing company. In recent years, he has noticed an increase in absenteeism, which he thinks is related to the general health of the employees. Four years ago, in an attempt to improve the situation, he began a fitness program in which employees exercise during their lunch hour. To evaluate the program, he selected a random sample of eight participants and found the number of days each was absent in the six months before the exercise program began and in the last six months. Below are the results |

1,6,3,2,6,2,3,7,1,4,7,2,5,4,2,6,6,6,7,6,3,8,8,7

State the decision rule for 0.100 significance level.

Compute the test Statistics

Step 1

*Degrees of freedom:*

For student’s* t *distribution, the degrees of freedom is *n* –1.

The number of observations is 8.

Thus, degrees of freedom is 7.

*Critical value: *

The critical value for α = 0.100 and 7 degrees of freedom using t-distribution is **1.415**.

Step 2

*Decision rule for right-tailed test at* *α *= 0.05:

We reject H_{0} if *t *> 1.415.

The test statistic is *t *which is calculated as,

Step 3

where *d*-bar is the mean of the differences, µd0 is the hypothesized mean difference, *sd*-bar is the standard deviation of the differences.

The dif...

Tagged in

Q: Construct a confidence interval for p1−p2 at the given level of confidence. x1=388, n1=501, x2=...

A: According to the provided information,

Q: Hoi pa 190 is te toteod If at from 9nerma 16 what is the malest Value of thot will make the power eq...

A: Step by step procedure to obtain the sample size using MINITAB software is given below:Select Stat &...

Q: In 1949,an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do yo...

A: Sample 1:In 1949 survey, there are 374 individuals out of 1,100 indicated that they are total abstai...

Q: Help If the alternate hypothesis states that 4,000, where is the rejection region for the hypothesis...

A: Given:

Q: In a large section of a statistics class, the points for the final exam are normally distributed, ...

A: Given dataMean = 74Standard Deviation = 9a)The Lowest Score for A grade is given by p-value will be ...

Q: Assume that a sample is used to estimate a population proportion p. Find the 99% confidence interval...

A: Introduction:The 100 (1 – α) % confidence interval for the population proportion, p is: (p̂ – (zα/2...

Q: 7

A: Lack of memory property:Let the random variable X is exponentially distributed with parameter 1/λ. I...

Q: Use the general equation for the least square regression line to show that this line always passes t...

A: The linear regression equation always passes through (x, y)y =a + bxLet there be two variables: x &a...

Q: The percent of fat calories that a person in America consumes each day is normally distributed with ...

A: It is given that X follows normally distribution with mean 37 and standard deviation 10.a)Consider t...