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Artyom0805 [142]
3 years ago
12

A study investigated the job satisfaction of teachers allowed to choose supplementary curriculum for their classes versus teache

rs who were assigned all curricular resources for use in their classes. On average, when surveyed regarding job satisfaction, teachers give a score of 3.3 out of 5 with a standard deviation of 0.6. When the authors of the study interviewed 40 teachers who supplemented with their own materials, they found 3.5 to be the mean. The authors wanted to know if the group of teachers that could choose supplementary curriculum had a higher level of job satisfaction. They used a significance level of 1%. Which of the following statements is valid based on the results of the test
a. The data shows that the authors make a stong proint with the date
b. The data shows that the authors cannot make a determination either way with this data.
c. 70% teachers are not satisfied with their jobs
d. None of the above
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0
The answer is b. the data shows that the authors connot make a determination either way with this data.
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Answer:

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Step-by-step explanation:

According to the Central Limit Theorem if we have a non-normal population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

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Let \bar X represent the sample mean weekly salaries.

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Now we need to compute the probability of the sampling error made in estimating the mean weekly salary to be at most $75.

The sampling error is the the difference between the estimated value of the parameter and the actual value of the parameter, i.e. in this case the sampling error is, |\bar X-\mu|= 75.

Compute the probability as follows:

P(-75

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Thus, the probability that the sampling error made in estimating the mean weekly salary for all employees of the company by the mean of a random sample of weekly salaries of 80 employees will be at most $75 is 0.9297.

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I need so much help with these two and quick if anybody can helpe out thanks.<br>​
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Answer:I need so much help with these two and quick if anybody can helpe out thanks.

Step-by-step explanation:

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