How to do it please show step by step A pharmaceutical company sells a tablet for treating colds. After extensive experimentation, researchers at the pharmaceutical company have developed a newformula for the tablet. The researchers suspect that the mean recovery time of all patients treated with the old tablet is more than the mean recovery time of allpatients who are treated with the new tablet. To see if this is true, a random selection of volunteers were exposed to a typical cold virus. After they started tohave cold symptoms, 15 of them were given the old tablet. The remaining 15 volunteers were given the new tablet. For each individual, the length of time takento recover from the cold was recorded. At the end of the experiment the following data were obtained.Days to recover from a coldTreated with old tablet 4.5, 8.6, 7.5, 7.7, 5.6, 6.1, 9.7, 5.7, 5.6, 5.0, 5.9, 5.5, 5.0, 4.0, 6.5Treated with new tablet 4.0, 4.0, 4.3, 6.2, 4.7, 5.0, 5.2, 6.6, 6.0, 4.1, 5.7, 3.2, 4.7, 4.4, 5.2Send data to calculator VSend data to ExcelIt is known that the population standard deviation of the recovery time from a cold is 1.8 days when treated with the old tablet, and the population standarddeviation of the recovery time from a cold is 1.5 days when treated with the new tablet. It is also known that both populations are approximately normallydistributed. At the 0.01 level of significance, is there enough evidence to support the claim that the mean recovery time, μ₁, of all patients treated with the oldtablet is more than the mean recovery time, μ2, of all patients treated with the new tablet? Perform a one-tailed test. Then complete 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 Ho and the alternative hypothesis H₁.0μOрSHo :DH₁ :믐(b) Determine the type of test statistic to use.0=0 OSO 0≥0(Choose one)(c) Find the value of the test statistic. (Round to three or more decimal places.)0<0☐#0X?(d) Find the critical value at the 0.01 level of significance. (Round to three or more decimal places.)0(e) Can we support the researchers' claim that the mean recovery time when treated with the oldtablet is more than the mean recovery time when treated with the new tablet?ExplanationCheck2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | AccessibilityXI8 YIt is known that the population standard deviation of the recovery time from a cold is 1.8 days when treated with the old tablet, and the population standdeviation of the recovery time from a cold is 1.5 days when treated with the new tablet. It is also known that both populations are approximately normaldistributed. At the 0.01 level of significance, is there enough evidence to support the claim that the mean recovery time, μ₁, of all patients treated with ttablet is more than the mean recovery time, μ₂, of all patients treated with the new tablet? Perform a one-tailed test. Then complete 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 Ho and the alternative hypothesis H₁.μ σ pHoX SH₁ :D0(b) Determine the type of test statistic to use.(Choose one)(c) Find the value of the test statistic. (Round to three or more decimal places.)(d) Find the critical value at the 0.01 level of significance. (Round to three or more decimal places.)0(e) Can we support the researchers' claim that the mean recovery time when treated with the oldtablet is more than the mean recovery time when treated with the new tablet?Yes NoExplanationCheck0=00#0X

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A pharmaceutical company sells a tablet for treating colds. After extensive experimentation, researchers at the pharmaceutical company have developed a new formula for the tablet. The researchers suspect that the mean recovery time of all patients treated with the old tablet is more than the mean recovery time of all patients who are treated with the new tablet. To see if this is true, a random selection of volunteers were exposed to a typical cold virus. After they started to have cold symptoms, 15 of them were given the old tablet. The remaining 15 volunteers were given the new tablet. For each individual, the length of time taken to recover from the cold was recorded. At the end of the experiment the following data were obtained. Days to recover from a cold Treated with old tablet 4.5, 8.6, 7.5, 7.7, 5.6, 6.1, 9.7, 5.7, 5.6, 5.0, 5.9, 5.5, 5.0, 4.0, 6.5 Treated with new tablet 4.0, 4.0, 4.3, 6.2, 4.7, 5.0, 5.2, 6.6, 6.0, 4.1, 5.7, 3.2, 4.7, 4.4, 5.2 Send data to calculator V Send data to Excel It is known that the population standard deviation of the recovery time from a cold is 1.8 days when treated with the old tablet, and the population standard deviation of the recovery time from a cold is 1.5 days when treated with the new tablet. It is also known that both populations are approximately normally distributed. At the 0.01 level of significance, is there enough evidence to support the claim that the mean recovery time, H₁, of all patients treated with the old tablet is more than the mean recovery time, μ₂, of all patients treated with the new tablet? Perform a one-tailed test. Then complete 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 Ho and the alternative hypothesis H₁. μ Р H: ê H₁ :D (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 decimal places XI 09 4 a X S On 0=0 OSO 0*0 Ã 0<0 S olc 20 □<口 ?