Question

A sample mean, sample size, and population andard deviation are given. Use the one-mean z-test to perform the required hypathes s tost at the glvan sgniticano lavel. Use the Pvalue approach 2 A)2 157,P value-0.1161; do ntreject Ho D) z-2.57, P-value-0.0101; r ed Ho C)2+0.35, P-value = 0.7253, do not reject HD 211 A)72 Pvau 0430 do not reject Ho C) -020P value 0.570 rejed Ho D) -02 P val 0.40o Perfom a one sample z tet for a population mean using the P- valuc approach. Bc sure to tate the hypothescs and the signifiano: level, to “mpute the value of the test statistic, to obtain the P-value, and to tate your “nd usion. Also, aseess the strength of the avidena against the null hypothass 250 A health insurarhasd trmind that the"rppenabland 0 omary. taetor aortain 25 meci cal praonure is S1 200. hay suspet that the Maragat e chargen by ana partial ar tet to dctormine whehor thoir suspicion is orrart. Themoan ton charged by the dinicfar a random sample of 65 patientsreceiving thisprocedure wa8 51280 Do the dataprovide sutticient evidenceto condudethat themeen tee cherged by this dinictor this procedureis higher than $1200? Pertorm theappropriate hypothesistest uing asgniticanoe level of 1%. Aseumelhat-S220. partsper million (ppm). A naumer hslth group measured thelevd ofthechamica ina random sample o tomanoes obtained trom oneproducar. Thelevels in ppm, ara shown 31a47 o.19 0.72 D.56 091 020.B3 04 0.28 031 048 0.25 0.34 0.17 058 019 0.26 07 081 At Ihe 5% s gni ficance level . do tle daly provide ufficient evidence lo condude lhal the Inean level of thecherric in tomaloes Irom thisproducer isgreeler than the recornmended levd of 04ppn?A saume that the populaion tandard devialion of leves of thechemica in theomasis 0.21 Ppm 2 A car insurance company has determined that the mean enuel car insuranoe cost tor a tamily in tha town ot Wat ington is $1716 A resarcher wants to patorm a hypothedis test to determine w hether the meen insurance or aamily in the town of Putford is higher than this Themeen insuranoe cost for &random sample of 32 familiee in Putford was $1781 At1he 10%egriticance level. do thedetaprovid.sur1icient evidencetooondude that themeen insurance coet for afemily in Puttord ishigher than 51716, the meen cost for a farnily in Wallingion.? A uetha! thepopultin dandrd devialion is S6.50.

Answer 1

Q 23 )

Under H0, the test statistic is

$Z = \frac{\overline{x} -\mu }{\sigma /\sqrt{n}} =\frac{137-132}{14.2/\sqrt{20}}=1.57$

P value = 0.1164

Since p value is greater than significance level, Donot reject H0

Answer: Option A)

Q 24 )

Under H0, the test statistic is

$Z = \frac{\overline{x} -\mu }{\sigma /\sqrt{n}} =\frac{251-250}{19/\sqrt{15}} =0.20$

The P value is = 0.4207

Since p value is greater than significance level, Donot reject H0

Answer: option A )