Heights were measured for a random sample of20plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation of those height measurements were43centimeters and8centimeters, respectively.

Heights were measured for a random sample of 20 plants grown while being treated with a particular nutrient. The sample mean and sample standard deviation of those height measurements were 43 centimeters and 8 centimeters, respectively. Assume that the population of heights of treated plants is normally distributed with mean u. Based on the sample, can it be concluded that u is different from 45 centimeters? Use the 0.1 level of significance. Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. The null hypothesis: H : I H P X S D The alternative hypothesis: H, : 1 The type of test statistic: (Choose one) 0=0 030 020 0*0 00 The value of the test statistic: (Round to at least three decimal places.) X ? The two critical values at the 0.1 level of significance: (Round to at least three [ and ] decimal places.) At the 0.1 level of significance, can it be concluded that the population mean height of treated plants Yes No is different from 45 centimeters?A psychologist specializing in marriage counseling claims that, among all married couples, the proportion p for whom her communication program can prevent divorce is at least 76%. In a random sample of 230 married couples who completed her program, 169 of them stayed together. Based on this sample, can we reject the psychologist's claim at the 0.1 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. The null hypothesis: H. : II O P X S P The alternative hypothesis: H, : 1 O The type of test statistic: (Choose one) O=0 030 020 *0 00 The value of the test statistic: (Round to at least three decimal places.) X 5 ? The p-value: (Round to at least three decimal places.) Can we reject the psychologist's claim that the proportion of married couples for whom her Yes No program can prevent divorce is at least 76%