High Temperatures in January Daily weather observations for southwestern Pennsylvania for the first three weeks of January for randomly selected years show daily high temperatures as follows in degrees Fahrenheit: 55 44 51 59 62 60 46 51 37 30 46 51 53 57 57 39 28 The normal standard deviation in high temperatures for this time period is usually no more than 7 degrees. A meteorologist believes that with the unusual trend in temperatures the standard deviation is greater. At α = 0.04, can we conclude that the standard deviation is greater than 7 degrees? Use a graphing calculator with the program SDHYP and the P-value method. Assume that the variable is approximately normally distributed. (a) State the hypotheses and identify the claim with the correct hypotheses. (b) Find the P-value. Round the answer to three decimal places. (c) Make the decision. (d) Summarize the results.
High Temperatures in January Daily weather observations for southwestern Pennsylvania for the first three weeks of January for randomly selected years show daily high temperatures as follows in degrees Fahrenheit:
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55
|
44
|
51
|
59
|
62
|
60
|
46
|
51
|
37
|
30
|
|
46
|
51
|
53
|
57
|
57
|
39
|
28
|
The normal standard deviation in high temperatures for this time period is usually no more than 7 degrees. A meteorologist believes that with the unusual trend in temperatures the standard deviation is greater. At α = 0.04, can we conclude that the standard deviation is greater than 7 degrees? Use a graphing calculator with the program SDHYP and the P-value method. Assume that the variable is approximately
(a) State the hypotheses and identify the claim with the correct hypotheses.
(b) Find the P-value. Round the answer to three decimal places.
(c) Make the decision.
(d) Summarize the results.
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