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Over [174]
3 years ago
8

A consumer electronics firm has developed a new type of remote control button that is designed to operate longer before becoming

intermittent. A random sample of 35 of the new buttons is selected and each is tested in continuous operation until becoming intermittent. The resulting lifetimes are found to have a sample mean of = 1,241.2 hours and a sample standard deviation of s = 110.8. Assuming normality of the population, the p-value for testing H0 versus Ha can be calculated to be .0174. (a) Determine whether H0 would be rejected at each of α = .10, α = .05, α = .01, and α = .001.
Mathematics
1 answer:
nataly862011 [7]3 years ago
4 0

Answer:

At 0.10 significance level, reject H0

At 0.05 significance level, reject H0

At 0.01 significance level, fail to reject H0

At 0.001 significance level, fail to reject H0

Step-by-step explanation:

The null hypothesis is rejected if the p-value is less than or equal to the significance level.

Fail to reject the null hypothesis if the p-value is greater than the significance level.

At 0.1 and 0.05 significance level, the null hypothesis is rejected because the p-value (0.0174) is less than the significance levels.

At 0.01 and 0.001 significance level, fail to reject the null hypothesis because the p-value (0.0174) is greater than the significance levels.

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Assume that a sample is used to estimate a population proportion μ . Find the margin of error M.E. that corresponds to a sample
hichkok12 [17]

Answer:

MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\

Step-by-step explanation:

Since the sample size is quite large, we can use the z-distribution.

The margin of error is  given by

$ MoE = z_{\alpha/2}(\frac{s}{\sqrt{n} } ) $

Where n is the sample size, s is the sample standard deviation and z_{\alpha/2} is the z-score corresponding to a 90% confidence level.

The z-score corresponding to a 90% confidence level is

Significance level = α = 1 - 0.90= 0.10/2 = 0.05

From the z-table at α = 0.05

z-score = 1.645

MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\

Therefore, the margin of error is 0.776.

3 0
3 years ago
At the time she had $237 ,the cost of a lesson rose to &19.how many lesson can she pay for with remaining &237
ad-work [718]
12.5, just divide 237 by 19
8 0
3 years ago
IQ scores have a mean of 100 and a standard deviation of 15. What percentile corresponds to an IQ score of 115? Explain the step
Kryger [21]

Answer:

The percentile that corresponds to an IQ score of 115 is 34.13 %

Step-by-step explanation:

Here, we want to find the percentile that corresponds to an IQ score of 115.

To calculate this percentile, we start with making observations. From the question, we are told that the mean score is 100 while the standard deviation is 15.

Now we want to find the percentile for a score if 115. For a score of 115, we can see that the difference between this score and the mean is 15 which is exactly equal to the standard deviation.

What this means is that the score is within +1 SD of the mean.

For a score of within +1 SD of the mean, the percentile is 34.13%

A score at the mean is the 50th percentile, a score which is 1 SD above or below the mean has a percentile value of 34.13%

Please, I will like you to check the attachment to see how percentiles are valued given the number of standard deviations a particular value is from the mean.

7 0
3 years ago
a baby weighs 18 pounds at her four month appointment. six month later she weighs 24 pounds. by what percentage did the baby wei
umka21 [38]

Answer:

yes Dang that baby a thicc boy or girl

Step-by-step explanation:

lol

5 0
3 years ago
Read 2 more answers
What is 14.9 round to?
Wittaler [7]
14.9 is rounded to 15 or if you are going by tens then it is 20
3 0
3 years ago
Read 2 more answers
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