Please show all the answers a,b,c,d,e EspañolA random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 15 of them weregiven multivitamin tablets formulated to fight cold symptoms. The remaining 15 volunteers were given placebo tablets. For each individual, the length of timetaken to recover from the cold is recorded. At the end of the experiment the following data are obtained.Days to recover from a coldTreated with multivitamin 3.3, 4.1, 6.3, 1.5, 3.4, 6.5, 9.4, 9.4, 3.1, 2.7, 8.4, 3.5, 8.1, 7.8, 4.76.3, 3.7, 6.2, 4.1, 1.6, 4.2, 7.2, 5.4, 7.2, 3.3, 4.5, 3.8, 5.7, 3.8, 5.1Treated with placeboSend data to calculator VSend data to ExcelIt is known that the population standard deviation of recovery time from a cold is 1.8 days when treated with multivitamin tablets, and the population standarddeviation of recovery time from a cold is 1.5 days when treated with placebo tablets. It is also known that both populations are approximately normallydistributed. The researchers claim that the mean recovery time, μµ₁, of the patients treated with multivitamin is not equal to the mean recovery time μ₂, of thepatients who are treated with placebo tablets. At the 0.05 level of significance, is there enough evidence to support this claim? Perform a two-tailed test. Thencomplete the parts below.AaCarry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)(a) State the null hypothesis Ho and the alternative hypothesis H₁.μOрHoH₁ : 0SH₁ :D0(b) Determine the type of test statistic to use.0=0 OSO0²0(Choose one) ▼(c) Find the value of the test statistic. (Round to three or more decimal places.)0#0000?(d) Find the p-value. (Round to three or more decimal places.)0(e) Can we support the researchers' claim that the mean recovery time whentreated with multivitamin is not equal to the mean recovery time whentreated with placebo?ExplanationCheckⒸ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility|xXロロ Send data to calculator VSend data to ExcelIt is known that the population standard deviation of recovery time from a cold is 1.8 days when treated with multivitamin tablets, and the population standarddeviation of recovery time from a cold is 1.5 days when treated with placebo tablets. It is also known that both populations are approximately normallydistributed. The researchers claim that the mean recovery time, μ₁, of the patients treated with multivitamin is not equal to the mean recovery time μ₂, of thepatients who are treated with placebo tablets. At the 0.05 level of significance, is there enough evidence to support this claim? Perform a two-tailed test. Thencomplete the parts below.Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)(a) State the null hypothesis H. and the alternative hypothesis H₁.OрH₂₁:0HoSH₁ :0(b) Determine the type of test statistic to use.0=0OSO(Choose one)(c) Find the value of the test statistic. (Round to three or more decimal places.)□□ 00XŚ ?(d) Find the p-value. (Round to three or more decimal places.)0(e) Can we support the researchers' claim that the mean recovery time whentreated with multivitamin is not equal to the mean recovery time whentreated with placebo?Yes No2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | AccesExplanationCheck3XI

Question

Please show all the answers a,b,c,d,e EspañolA random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 15 of them weregiven multivitamin tablets formulated to fight cold symptoms. The remaining 15 volunteers were given placebo tablets. For each individual, the length of timetaken to recover from the cold is recorded. At the end of the experiment the following data are obtained.Days to recover from a coldTreated with multivitamin 3.3, 4.1, 6.3, 1.5, 3.4, 6.5, 9.4, 9.4, 3.1, 2.7, 8.4, 3.5, 8.1, 7.8, 4.76.3, 3.7, 6.2, 4.1, 1.6, 4.2, 7.2, 5.4, 7.2, 3.3, 4.5, 3.8, 5.7, 3.8, 5.1Treated with placeboSend data to calculator VSend data to ExcelIt is known that the population standard deviation of recovery time from a cold is 1.8 days when treated with multivitamin tablets, and the population standarddeviation of recovery time from a cold is 1.5 days when treated with placebo tablets. It is also known that both populations are approximately normallydistributed. The researchers claim that the mean recovery time, μµ₁, of the patients treated with multivitamin is not equal to the mean recovery time μ₂, of thepatients who are treated with placebo tablets. At the 0.05 level of significance, is there enough evidence to support this claim? Perform a two-tailed test. Thencomplete the parts below.AaCarry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)(a) State the null hypothesis Ho and the alternative hypothesis H₁.μOрHoH₁ : 0SH₁ :D0(b) Determine the type of test statistic to use.0=0 OSO0²0(Choose one) ▼(c) Find the value of the test statistic. (Round to three or more decimal places.)0#00>00?(d) Find the p-value. (Round to three or more decimal places.)0(e) Can we support the researchers' claim that the mean recovery time whentreated with multivitamin is not equal to the mean recovery time whentreated with placebo?ExplanationCheckⒸ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility|xXロ>ロ Send data to calculator VSend data to ExcelIt is known that the population standard deviation of recovery time from a cold is 1.8 days when treated with multivitamin tablets, and the population standarddeviation of recovery time from a cold is 1.5 days when treated with placebo tablets. It is also known that both populations are approximately normallydistributed. The researchers claim that the mean recovery time, μ₁, of the patients treated with multivitamin is not equal to the mean recovery time μ₂, of thepatients who are treated with placebo tablets. At the 0.05 level of significance, is there enough evidence to support this claim? Perform a two-tailed test. Thencomplete the parts below.Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)(a) State the null hypothesis H. and the alternative hypothesis H₁.OрH₂₁:0HoSH₁ :0(b) Determine the type of test statistic to use.0=0OSO(Choose one)(c) Find the value of the test statistic. (Round to three or more decimal places.)□□ 0<0 0>0XŚ ?(d) Find the p-value. (Round to three or more decimal places.)0(e) Can we support the researchers' claim that the mean recovery time whentreated with multivitamin is not equal to the mean recovery time whentreated with placebo?Yes No2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | AccesExplanationCheck3XI

Accepted Answer

Given:
Significance level α = 0.05
Treated with multivitamin:
n1 = 15
σ1 = 1.8
Treated with placebo:…