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 is conducting an independent study on the new pill to see if thevariance, o², ,of increased sleep time is different from the advertised variance. The government group testsfiftandomly chosen insomniacs on the new pill. The insomniacs in the sample report having an average daily increase in2.8hours of sleep, with a variance 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 times obtained 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 hypothesish and the alternative hypothesish ₁. h : 0 = 0.25 0 (b) (c) (d) hi : 0 0.25 Determine which type of test statistic to use. chi-square Degrees of freedom:0 Find the value of the test statistic. (Round to three or more decimal places.) 15,680. Find 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 the μ XI 7 P. ☐#0 a X S 2 Do 0=0 Oso 020 Р O

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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 is
conducting an independent study on the new pill to see if thevariance, o², of increased sleep time is different from the advertised variance. The government
group testsfiftandomly chosen insomniacs on the new pill. The insomniacs in the sample report having an average daily increase in2.8hours of sleep, with a
variance 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 times
obtained 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 hypothesish and the alternative hypothesish 1'
ho: o
(b)
(c)
(d)
h
1
0.25
2 0.25
: 0
Determine which type of test statistic to use.
chi-square
Degrees of freedom:
Find the value of the test statistic. (Round to three or more decimal places.)
15,680.
Find the critical values. (Round to three or more decimal places.)
and
(and) Can we reiect the claim that the variance of increased sleep time with the
μ
XI
☐#0
о р
0=0 OSO
X
S
O<O
ô
ロミロ
□<ロ
Ś
Transcribed Image Text: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 is conducting an independent study on the new pill to see if thevariance, o², of increased sleep time is different from the advertised variance. The government group testsfiftandomly chosen insomniacs on the new pill. The insomniacs in the sample report having an average daily increase in2.8hours of sleep, with a variance 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 times obtained 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 hypothesish and the alternative hypothesish 1' ho: o (b) (c) (d) h 1 0.25 2 0.25 : 0 Determine which type of test statistic to use. chi-square Degrees of freedom: Find the value of the test statistic. (Round to three or more decimal places.) 15,680. Find the critical values. (Round to three or more decimal places.) and (and) Can we reiect the claim that the variance of increased sleep time with the μ XI ☐#0 о р 0=0 OSO X S O<O ô ロミロ □<ロ Ś
Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas .)
(to) Formulate the null hypothesish and the alternative hypothesish 1.
(b)
(c)
(d)
h
0
1
: 0 = 0.25
2 0.25
: 0
Determine which type of test statistic to use.
chi-square
Degrees of freedom:
Find the value of the test statistic. (Round to three or more decimal places.)
15,680.
Find 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 the
new pill is as advertised?
O Yeah ONo
μ
XI
0#0
a
X
S
р
0=0 OSO 020
<Q
Ś
00
O<O ☐>☐
Transcribed Image Text:Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas .) (to) Formulate the null hypothesish and the alternative hypothesish 1. (b) (c) (d) h 0 1 : 0 = 0.25 2 0.25 : 0 Determine which type of test statistic to use. chi-square Degrees of freedom: Find the value of the test statistic. (Round to three or more decimal places.) 15,680. Find 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 the new pill is as advertised? O Yeah ONo μ XI 0#0 a X S р 0=0 OSO 020 <Q Ś 00 O<O ☐>☐
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Follow-up Question
partially correct
Your answer is incorrect.
(a) The null hypothesis: Your answer is incorrect.
●
(a) The alternative hypothesis: Your answer is incorrect.
(to)
●
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 is
conducting an independent study on the new pill to see if thevariance, o², of increased sleep time is different from the advertised variance. The government
group testsfiftandomly chosen insomniacs on the new pill. The insomniacs in the sample report having an average daily increase in2.8hours of sleep, with a
variance 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 times
obtained 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.)
Formulate the null hypothesish and the alternative hypothesish
ho
h
1
: 0 = 0.25
2 0.25
: 0
1'
μ
XI
O
S
0,
Р
<Q
010
Transcribed Image Text:partially correct Your answer is incorrect. (a) The null hypothesis: Your answer is incorrect. ● (a) The alternative hypothesis: Your answer is incorrect. (to) ● 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 is conducting an independent study on the new pill to see if thevariance, o², of increased sleep time is different from the advertised variance. The government group testsfiftandomly chosen insomniacs on the new pill. The insomniacs in the sample report having an average daily increase in2.8hours of sleep, with a variance 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 times obtained 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.) Formulate the null hypothesish and the alternative hypothesish ho h 1 : 0 = 0.25 2 0.25 : 0 1' μ XI O S 0, Р <Q 010
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