I need help pls how do u do this step by step? ):
1 answer:
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Using the z-distribution, we have that:
a)
The hypothesis test is:
The p-value is of 0.0668.
The critical value is
b) Since the <u>test statistic is less than the critical value</u> for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.
Item a:
At the null hypothesis, it is <u>tested if the mean is of 7.4 minutes</u>, that is:
At the alternative hypothesis, it is <u>tested if the mean is lower than 7.4 minutes</u>, that is:
We have the <u>standard deviation for the population</u>, hence, the z-distribution is used.
The test statistic is given by:
The parameters are:
is the sample mean.
is the value tested at the null hypothesis.
is the standard deviation of the sample.
- n is the sample size.
For this problem, the values of the <em>parameters </em>are: .
Hence, the value of the <em>test statistic</em> is:
Using a z-distribution calculator, the p-value is of 0.0668.
Also using a calculator, considering a <u>left-tailed test</u>, as we are testing if the mean is less than a value, the critical value with a <u>significance level of 0.1</u> is of .
Item b:
Since the <u>test statistic is less than the critical value</u> for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.
You can learn more about the use of the z-distribution to test an hypothesis at brainly.com/question/16313918
Answer:
74.4°
Step-by-step explanation:
Given
- ∠G=90° => ΔEFG is a right triangle
- EF = 95 feet
- FG = 26 feet
Use sine law to find ∠F
As we know:
Sin(GEF)/ GF = Sin(EGF)/EF
<=> Sin(GEF) / 26 = Sin(90)/95
<=>Sin(GEF) / 26 = 1/95
<=> Sin(GEF) = 26/95
<=> ∠GEF ≈ 15.8°
=> ∠F = 180° - ∠G - ∠GEF
∠F = 180° - 90° - 15.8° = 74.4°
