randomly selected days The resutson part per balon) are isted the right Assume t
ID: 3236719 • Letter: R
Question
randomly selected days The resutson part per balon) are isted the right Assume that population tandarddevi estimate? Complete parts (a)through (e) (a) Wie claim mathematcaly and identity Ho and H Choosefrom he following B. Ho O A Ho 33 claim O E. Ho: ws33 (dam) O D. Ho H233 (claim) (b Find the orical value and identry the rejection region. zo. (Roundto two decimal places as needed.) Rejection region z (c Find the standardzedtest statistc z" (Round to two decimal places as needed.) ld Decide whether to rejector fal toreject the nu hypothesis cs s tn select your answers. is 7 At a 011.can you support the scentists O C. Ho: 33 H.: 233 claim) OF Ho us 33 17 32 22 22 23 19 14 43 30 25 36 30 17 24 40 14 39 40 40 34 42 20 23 17 42 34 42 19 15 37 19Explanation / Answer
1).
Solution: The solution to this problem takes four steps: (1) state the hypotheses, (2) formulate an analysis plan, (3) analyze sample data, and (4) interpret results. We work through those steps below:
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: <= 33
Alternative hypothesis: > 33
Critical value for z = -1.2267
Formulate an analysis plan. For this analysis, the significance level is 0.11.
Analyze sample data. Using sample data,
DF = n - 1 = 31 - 1 = 30
z = (x - ) / s = (28.1 - 33)/7 = -0.7
where s is the standard deviation of the population, x is the sample mean, is the hypothesized population mean, and n is the sample size.
Here is the logic of the analysis: Given the alternative hypothesis ( > 33), we want to know whether the observed sample mean is large enough to cause us to reject the null hypothesis.
Using P-value calculator, we get
The P-Value = 0.241964.
The result is not significant at p < 0.11
Interpret results. Since the P-value (0.242) is greater than the significance level (0.11), we cannot reject the null hypothesis.
Conclusion. Doo not reject null hypothesis, there is insufficient evidence to support the scientists claim.
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