Question Sales at an ice creamery are heavily reliant on the weather. A sample of the number of ice creams sold per day and the temperature in degrees Celsius was gathered for10days. The temperature was used to predict ice cream sales. The results show thatb1=0.3943andSb1=0.0178.a. At the 0.05 level of​ significance, is there evidence of a linear relationship between temperature and ice cream​ sales?b. Construct a​ 95% confidence interval estimate of the population​ slope,β1.Click here to view page 1 of the table of the critical values of t.LOADING...Click here to view page 2 of the table of the critical values of t.LOADING...   a. Determine the hypotheses for the test. Choose the correct answer below.  A.H0​:β0≥0H1​:β0<0 B.H0​:β1=0H1​:β1≠0 C.H0​:β1≥0H1​:β1<0 D.H0​:β0≤0H1​:β0>0 E.H0​:β0=0H1​:β0≠0 F.H0​:β1≤0H1​:β1>0Calculate the test statistic. t=enter your response here​(Round to two decimal places as​ needed.)Determine the critical​ value(s). The critical​ value(s) is(are)t=enter your response here.​(Use a comma to separate answers as needed. Round to two decimal places as​ needed.)Reach a decision. ▼ Do not rejectRejectH0.There is▼ insufficientsufficientevidence to conclude that there is a linear relationship between temperature and ice cream sales.b. The​ 95% confidence interval isenter your response here≤β1≤enter your response here.​(Round to three decimal places as​ needed.) Degrees offreedom0.250.100.050.0250.010.0051.00000.8165076490740713.07776.313812.706231.820763.65741.88561.63772.92002.35349.92485.84094.60414.03224.30276.96464.54073.18242.77643.41.53322.13183.74695072671.47592.01502.57063.3649071761.43981.94322.44693.14273.70741.89461.8595071113.49053.35541.41492.36462.99802.89650.70640.70271.39681.38302.30602.262291.83312.82143.24983.1603100.69981.37221.81252.22812.7638110.69741.36341.79592.20102.71813.10581.78231.77091.76131.7531120.69551.35622.17882.68103.054513140.60380.60241.35021.34502.16042.14482.65032.62453.01232.97682.9467150.60121.34062.13152.60252.58352.566925524253952.11992.92082.8982160.69011.33681.33341.74591.73960.68920.68840.6876172.109818191.33041.32771.73411.72912.10092.09302.87842.8609200.68701.32531.72472.0860252802.84531.32321.3212251772.50832.49992.49222.4851210.68641.72072.07962.83140.68580.68530.68482.81882.80732.79692.7874221.71712.073923241.71391.71091.70812.06872.06392.05951.31951.31781.3163250.6844260.68401.31501.70562.05552.47862.7787272829300.68370.68340.68300.68281.31371.31251.31141.31041.70331.70111.69911.69732.05182.04842.04522.04232.47272.46712.46202.45732.77072.76332.75642.7500311.30050.68250.68220.68200.68181.69551.60392.03952.45282.7740321.30862.03692.44872.44482.44112.738533341.30771.30701.30621.69241.69091.68962.03452.03222.73332.72842.7238350.68162.03012.43770.68140.68120.6810361.30551.68832.02812.02622.02442.43452.71953738391.30491.30421.68711.68602.43142.42862.71542.71162.70790.68080.68071.30361.68492.02272.02112.4258401.30311.68392.42332.70450.68051.30251.30201.30161.30111.68291.6820412.01952.42082.7012420.68042.01812.41852.698143440.68020.68011.68111.68022.01672.01542.01412.41632.41412.69512.6923450.68001.30061.67942.41212.6896460.67991.30221.67872.01292.41022.68702.6846470.67971.29981.67792.01172.4083480.67061.29041.67722.01062.40662.6822Degrees offreedom0.250.100.050.0250.010.005Upper-tail areas Upper-tail areasDegrees offreedom0.250.100.050.0250.010.0050.67950.67942.009640501.29911.29871.67662.40492.40332.68002.67781.67592.00860.679351521.29841.29801.67531.67472.00762.00662.40172.40022.67572.67370.6792530.67911.29771.67412.00572.39882.671854550.67910.67901.29741.29711.67361.67302.00492.00402.39742.39612.67002.6682565758592.00322.00252.00172.00100.67891.29691.29661.67252.39482.66650.67880.67870.67871.67201.67161.67112.39362.39242.39122.39012.66492.66331.29631.29612.66182.6603600.67861.29581.67062.00030.67850.67850.67842.65892.65752.6561611.29561.67021.66981.66041.66001.66861.99962.38901.29541.29512.38802.38702.38602.385162631.99901.99830.67830.67831.29491.29471.99771.99712.65492.6536646566670.67820.67821.29451.29431.66831.66791.99661.99601.99552.38422.38332.38242.65242.65122.6501680.67811.29411.66761.29391.2938690.67811.66721.99492.38162.6490700.67801.66691.99442.38082.64791.66661.66631.6660710.67801.29361.99392.38002.646972730.67790.67790.67780.67782.37932.37852.37782.37712.64592.64402.64392.64301.29341.29331.993574751.90301.90251.99211.29311.66571.29291.6654767778792.37642.37582.37512.37452.37392.64212.64122.64032.63952.63870.67771.29281.66521.99170.67770.67760.67760.67761.29261.29251.29241.66491.66461.66441.99131.99081.9005801.29221.66411.90011.29211.29201.29181.29171.29161.29151.29141.29121.29111.98971.98931.98901.98861.98832.63792.63710.67751.66392.37332.37272.37212.37162.37100.67751.663683840.67750.67740.67742.63642.63562.63491.66341.66321.66302.37052.37002.63422.63352.63292.632286870.67740.67730.67730.67731.66281.66261.66241.66221.98791.08761.98731.987088802.36052.36002.3685900.67721.29101.66201.98672.63169192930.67720.67720.67711.29091.29081.29071.66181.66161.98641.98611.98582.36802.36762.36712.36672.36622.63002.63032.62972.62911.66141.6612940.67711.29061.9855950.67711.29051.66111.98532.62861.98501.98471.98452.36582.36542.36502.36462.3642060.67711.20041.66002.62809798990.67700.67700.67701.29031.29021.29021.29011.66071.66061.66041.66022.62752.62692.62641.98421000.67701.98402.62591100.67671.28931.65881.98182.36072.62131200.67651.28861.65771.97992.35782.61740.67451.28161.64491.96002.32632.5758Degrees offreedom0.250.100.050.0250.010.005

XRYTQK The Asker · Probability and Statistics

Sales at an ice creamery are heavily reliant on the weather. A sample of the number of ice creams sold per day and the temperature in degrees Celsius was gathered for

10

days. The temperature was used to predict ice cream sales. The results show that

b1=0.3943

and

Sb1=0.0178.

a. At the 0.05 level of​ significance, is there evidence of a linear relationship between temperature and ice cream​ sales?

b. Construct a​ 95% confidence interval estimate of the population​ slope,

β1.

Click here to view page 1 of the table of the critical values of t.

LOADING...

Click here to view page 2 of the table of the critical values of t.

LOADING...

 

 

 

a. Determine the hypotheses for the test. Choose the correct answer below.

 

 

A.

H0​:

β0≥0

H1​:

β0<0

 

B.

H0​:

β1=0

H1​:

β1≠0

 

C.

H0​:

β1≥0

H1​:

β1<0

 

D.

H0​:

β0≤0

H1​:

β0>0

 

E.

H0​:

β0=0

H1​:

β0≠0

 

F.

H0​:

β1≤0

H1​:

β1>0

Calculate the test statistic.

 

t=enter your response here

​(Round to two decimal places as​ needed.)

Determine the critical​ value(s).

 

The critical​ value(s) is(are)

t=enter your response here.

​(Use a comma to separate answers as needed. Round to two decimal places as​ needed.)

Reach a decision.

 

▼

 

Do not reject

Reject

H0.

There is

▼

 

insufficient

sufficient

evidence to conclude that there is a linear relationship between temperature and ice cream sales.

b. The​ 95% confidence interval is

enter your response here≤β1≤enter your response here.

​(Round to three decimal places as​ needed.)