Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas.)(to) Formulate the null hypothesis and the alternative hypothesishho:00(b)(c)(d)h1!1'Determine which type of test statistic to use.(Choose an option)Find the value of the test statistic. (Round to three or more decimal places.)0Find the critical values. (Round to three or more decimal places.)and(and) Can we reject the claim that the variance of increased sleep time with thenew pill is as advertised?O Yeah O No3XI0=0OSOSOР☐ A new sleeping pill is advertised that increases the daily sleep time of insomniacs by an average of2.8hours, with a variance of0.25.A government group isconducting an independent study on the new pill to see if thevariance, o,of increased sleep time is different from the advertised variance. The governmentgroup testsfiftandomly chosen insomniacs on the new pill. The insomniacs in the sample report having an average daily increase in2.8hours of sleep, with avariance of0.08. Is there sufficient evidence, at the level of significance of0.01, to reject the claim made in the ad? Assume that the increases in sleep timesobtained with the new pill follow an approximately normal distribution.Perform a two-tailed test. Then complete the following.Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas.)(to) Formulate the null hypothesis and the alternative hypothesish 1.hoh, !1(b)(c)(d)0Determine which type of test statistic to use.(Choose an option)Find the value of the test statistic. (Round to three or more decimal places.)0Find the critical values. (Round to three or more decimal places.)Xロ=ロО рSOSOô00ロミロS0#0 OO

From the provided information,Sample size (n) = 50Sample variance (s2) = 0.08Level of significance…

Answered: rtised variance. The government ducting…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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A new sleeping pill is advertised to increase the daily sleeping time of insomniacs by an average of 2.9 hours, with a variance of 0.23. A government group conducts an independent study on the new pill to see if the variance, o², of increase in sleeping time is higher than the advertised variance. The government group tests 17 insomniacs, chosen at random, with the new pill. The insomniacs in the sample report a mean daily sleeping increase of 2.8 hours, with a variance of 0.51. Is there enough evidence, at the 0.01 level of significance, to support the claim that the variance of increase in sleeping time is higher than the one advertised? Assume that the increases in sleeping times provided by the new pill are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis and the alternative hypothesis H1₁. Ho :O…
A new sleeping pill is advertised to increase the daily sleeping time of insomniacs by an average of 3.0 hours, with a variance of 0.27. A government group conducts an independent study on the new pill, claiming that the actual variance, o, of increase in sleeping time is higher than the advertised variance. The government group tests 20 insomniacs, chosen at random, with the new pill. The insomniacs report a mean daily sleeping increase of 2.9 hours, with a variance of 0.35. Is there enough evidence to conclude, at the 0.1 level of significance, that the government group is correct? Assume that the increase in the sleeping time provided by the new pill is normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. p Họ :0 H :0 (b) Determine the…
A supplier sells ropes. He claims that the ropes have a mean strength of 34 pounds and a variance of 64 pounds. A random sample of 32 ropes selected from a shipment yields a mean strength of 31 pounds. Could the claim of the supplier be rejected at 0.05 level?
An amusement park conducted an internal audit on the wait times of its customers for the park's rides during a summer weekend. The audit found that the wait times of customers for the Shooting Star ride had a population mean of 31.2 minutes with a population variance of 6.3 minutes The park's head executive has doubts about the audit's findings concerning the Shooting Star ride. He hires an inspector to check these findings. On a summer weekend, the inspector takes a sample of 12 people at random waiting in line for the Shooting Star. She records their wait times and finds that the sample mean is 33.1 minutes and the sample variance is 4.8 minutes 2 Fill in the blanks below with the proper notation for the population mean, the population variance, and the sample variance. 66°F Cloudy Population mean: (Choose one) = 31.2 minutes X Population variance: (Choose one) = 6.3 minutes 2 Sample variance: (Choose one) 2 = 4.8 minutes Continue 3 W E 5. D DIL R Q Search 5 G 7 G Y U H 8 X C V B N M…
A data set from a study that examined the effect of a specific diet on blood pressure is below. Participants (n = 72) were randomly assigned either to a group that was put on the diet (Diet = Present) or to a group that was not put on the diet (Diet = Absent), and researchers wanted to know whether the diet had a significant impact on blood pressure. Evaluate the homogeneity of variance assumption for the test and report the results (i.e., is the assumption reasonable for this analysis/data set?). Biofeedback Drug Diet BldPres Present X Absent 170 Present X Absent 175 Present X Absent 165 Present X Absent 180 Present X Absent 160 Present X Absent 158 Present X Present 161 Present X Present 173 Present X Present 157 Present X Present 152 Present X Present 181 Present X Present 190 Present Y Absent 186 Present Y Absent 194 Present Y Absent 201 Present Y Absent 215 Present Y Absent 219 Present Y Absent 209 Present Y Present 164 Present Y Present…
Airline companies are interested in the consistency of the number of babies on each flight so that they have adequate safety equipment. They are also interested in the variation in the number of babies. Suppose that an airline executive believes the average number of babies on flights is six with a variance of nine at most. The airline conducts a survey. The results of the 18 flights surveyed give a sample average of 6.4 with a sample standard deviation of 3.9. To test the null hypothesis against the alternative hypothesis one relies on the chi-squared test. What is the Test Statistic? a. 18.37 b. 47.38 c. 9.26 d. 28.73

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