Question

the San Andres Mountains gave the following weights (pounds):

68 | 106 | 133 | 130 | 60 | 64 |

Assume that the population of *x* values has an
approximately normal distribution.

(a) Use a calculator with mean and sample standard deviation
keys to find the sample mean weight *x* and sample standard
deviation *s*. (Round your answers to one decimal
place.)

x = |
lb |

s = |
lb |

(b) Find a 75% confidence interval for the population average
weight *?* of all adult mountain lions in the specified
region. (Round your answers to one decimal place.)

lower limit | lb |

upper limit | lb |

Answer #1

Solution :

Given that 68,106,133,130,60,64

(a) Mean x = 93.5

Explanation :-

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

=> Mean = Sum of terms/Number of terms

Sum of terms = 68 + 106 + 133 + 130 + 60 + 64 = 561

Number of terms = 6

mean = Sum of terms/Number of terms = 561/6 = 93.5

(b) standard deviation s = 33.7

(b) n = 6 , df = n-1 = 5

=> For 75% confidence interval , t = 0.130

=> The 75% confidence interval of the mean is = x +/- t*s/sqrt(n)

= 93.5 +/- 0.130*33.7/sqrt(6)

= (91.7,95.3)

=> Lower limit = 91.7

=> Upper limit = 95.3

How much do wild mountain lions weigh? Adult wild mountain lions
(18 months or older) captured and released for the first time in
the San Andres Mountains gave the following weights (pounds): 66
106 133 130 60 64
Assume that the population of x values has an approximately
normal distribution.
(a) Use a calculator with mean and sample standard deviation
keys to find the sample mean weight x and sample standard deviation
s. (Round your answers to one decimal place.)...

How much do wild mountain lions weigh? Adult wild mountain lions
(18 months or older) captured and released for the first time in
the San Andres Mountains gave the following weights (pounds):
74
102
133
120
60
64
Assume that the population of x values has an
approximately normal distribution.
(a) Use a calculator with mean and sample standard deviation
keys to find the sample mean weight x and sample standard
deviation s. (Round your answers to one decimal
place.)...

How much do wild mountain lions weigh? Adult wild mountain lions
(18 months or older) captured and released for the first time in
the San Andres Mountains gave the following weights (pounds): 75
106 132 120 60 64 Assume that the population of x values has an
approximately normal distribution. (a) Use a calculator with mean
and sample standard deviation keys to find the sample mean weight x
and sample standard deviation s. (Round your answers to one decimal
place.)...

How much do wild mountain lions weigh? Adult wild mountain lions
(18 months or older) captured and released for the first time in
the San Andres Mountains gave the following weights (pounds):
73
108
130
129
60
64
Assume that the population of x values has an
approximately normal distribution.
(a) Use a calculator with mean and sample standard deviation
keys to find the sample mean weight x and sample standard
deviation s. (Round your answers to one decimal
place.)...

How much do wild mountain lions weigh? Adult wild mountain lions
(18 months or older) captured and released for the first time in
the San Andres Mountains gave the following weights (pounds):
65
102
130
126
60
64
Assume that the population of x values has an
approximately normal distribution.
(a) Use a calculator with mean and sample standard deviation
keys to find the sample mean weight x and sample standard
deviation s. (Round your answers to one decimal
place.)...

How much do wild mountain lions weigh? Adult wild mountain lions
(18 months or older) captured and released for the first time in
the San Andres Mountains gave the following weights (pounds):
72
106
133
127
60
64
Assume that the population of x values has an
approximately normal distribution.
(a) Use a calculator with mean and sample standard deviation
keys to find the sample mean weight x and sample standard
deviation s. (Round your answers to one decimal place...

How much do wild mountain lions weigh? Adult wild mountain lions
(18 months or older) captured and released for the first time in
the San Andres Mountains gave the following weights (pounds):
70
110
128
129
60
64
Assume that the population of x values has an
approximately normal distribution.
(a) Use a calculator with mean and sample standard deviation
keys to find the sample mean weight x and sample standard
deviation s. (Round your answers to one decimal
place.)...

How much do wild mountain lions weigh? Adult wild mountain lions
(18 months or older) captured and released for the first time in
the San Andres Mountains gave the following weights (pounds):
68
108
134
129
60
64
Assume that the population of x values has an
approximately normal distribution.
(a) Use a calculator with mean and sample standard deviation
keys to find the sample mean weight x and sample standard
deviation s. (Round your answers to one decimal
place.)...

20. How much do wild mountain lions weigh? Adult wild mountain
lions (18 months or older) captured and released for the first time
in the San Andres Mountains had the following weights (pounds):
67
108
127
127
60
64
Assume that the population of x values has an
approximately normal distribution.
(a) Use a calculator with mean and sample standard deviation
keys to find the sample mean weight x and sample standard
deviation s. (Round your answers to one decimal...

How much do wild mountain lions weigh? Adult wild mountain lions
(18 months or older) captured and released for the first time in
the San Andres Mountains gave the following weights (pounds):
66
110
135
126
60
64
Assume that the population of x values has an
approximately normal distribution.
(a) Use a calculator with mean and sample standard deviation
keys to find the sample mean weight x and sample standard
deviation s. (Round your answers to one decimal
place.)...

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