Consider a paint-drying situation in which drying time for a test specimen is normally distributed with o = 6. The hypotheses Ho: µ = 73 and H: µ

Extracted text: Consider a paint-drying situation in which drying time for a test specimen is normally distributed with o = 6. The hypotheses Ho: µ = 73 and H: µ < 73 are to be tested using a random sample of n = 25 observations. (a) how many standard deviations (of x) below the null value is x = 72.3? (round your answer to two decimal places.) standard deviations (b) if x = 72.3, what is the conclusion using a = 0.005? calculate the test statistic and determine the p-value. (round your test statistic to two decimal places and your p-value to four decimal places.) p-value = state the conclusion in the problem context. o reject the null hypothesis. there is not sufficient evidence to conclude that the mean drying time is less than 73. o reject the null hypothesis. there is sufficient evidence to conclude that the mean drying time is less than 73. o do not reject the null hypothesis. there is not sufficient evidence to conclude that the mean drying time is less than 73. o do not reject the null hypothesis. there is sufficient evidence to conclude that the mean drying time is less than 73. (c) for the test procedure with a = 0.005, what is b(70)? (round your answer to four decimal places.) b(70) = | (d) if the test procedure with a = 0.005 is used, what n is necessary to ensure that b(70) = 0.01? (round your answer up to the next whole number.) n = specimens (e) if a level 0.01 test is used with n = 100, what is the probability of a type i error when µ = 76? (round your answer to four decimal places.) 73="" are="" to="" be="" tested="" using="" a="" random="" sample="" of="" n="25" observations.="" (a)="" how="" many="" standard="" deviations="" (of="" x)="" below="" the="" null="" value="" is="" x="72.3?" (round="" your="" answer="" to="" two="" decimal="" places.)="" standard="" deviations="" (b)="" if="" x="72.3," what="" is="" the="" conclusion="" using="" a="0.005?" calculate="" the="" test="" statistic="" and="" determine="" the="" p-value.="" (round="" your="" test="" statistic="" to="" two="" decimal="" places="" and="" your="" p-value="" to="" four="" decimal="" places.)="" p-value="State" the="" conclusion="" in="" the="" problem="" context.="" o="" reject="" the="" null="" hypothesis.="" there="" is="" not="" sufficient="" evidence="" to="" conclude="" that="" the="" mean="" drying="" time="" is="" less="" than="" 73.="" o="" reject="" the="" null="" hypothesis.="" there="" is="" sufficient="" evidence="" to="" conclude="" that="" the="" mean="" drying="" time="" is="" less="" than="" 73.="" o="" do="" not="" reject="" the="" null="" hypothesis.="" there="" is="" not="" sufficient="" evidence="" to="" conclude="" that="" the="" mean="" drying="" time="" is="" less="" than="" 73.="" o="" do="" not="" reject="" the="" null="" hypothesis.="" there="" is="" sufficient="" evidence="" to="" conclude="" that="" the="" mean="" drying="" time="" is="" less="" than="" 73.="" (c)="" for="" the="" test="" procedure="" with="" a="0.005," what="" is="" b(70)?="" (round="" your="" answer="" to="" four="" decimal="" places.)="" b(70)="|" (d)="" if="" the="" test="" procedure="" with="" a="0.005" is="" used,="" what="" n="" is="" necessary="" to="" ensure="" that="" b(70)="0.01?" (round="" your="" answer="" up="" to="" the="" next="" whole="" number.)="" n="specimens" (e)="" if="" a="" level="" 0.01="" test="" is="" used="" with="" n="100," what="" is="" the="" probability="" of="" a="" type="" i="" error="" when="" µ="76?" (round="" your="" answer="" to="" four="" decimal="">